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0001 @article{AL-POPN1,
0002         author = "Alexandru, Victor and Popescu, Nicolae",
0003         title = "Sur une classe de prolongements {\`{a}} {K(X)} d'une valuation sur une corps {K}",
0004         journal = " Rev. Roumaine Math. Pures Appl.",
0005         year = 1988,
0006         volume = 33,
0007         number = 5,
0008         pages = " 393--400",
0009         note = "MathSciNet review: 89h:12015", }
0010 
0011 @article{AL-POPN-ZAH1,
0012         author = "Alexandru, Victor and Popescu, Nicolae and Zaharescu, Alexandru",
0013         title = "A theorem of characterization of residual transcendental extensions of a valuation",
0014         journal = "J. Math. Kyoto Univ.",
0015         year = 1988,
0016         volume = 28,
0017         number = 4,
0018         pages = " 579--592",
0019         note = "MathSciNet review: 90c:12011", }
0020 
0021 @article{AL-POPN-ZAH2,
0022         author = "Alexandru, Victor and Popescu, Nicolae and Zaharescu, Alexandru",
0023         title = "Minimal pairs of definition of a residual transcendental extension of a valuation",
0024         journal = "J. Math. Kyoto Univ.",
0025         year = 1990,
0026         volume = 30,
0027         number = 2,
0028         pages = " 207--225",
0029         note = "MathSciNet review: 92b:12014", }
0030 
0031 @article{AL-POPN-ZAH3,
0032         author = "Alexandru, Victor and Popescu, Nicolae and Zaharescu, Alexandru",
0033         title = "All valuations on {K(X)}",
0034         journal = "J. Math. Kyoto Univ.",
0035         year = 1990,
0036         volume = 30,
0037         number = 2,
0038         pages = " 281--296",
0039         note = "MathSciNet review: 92c:12011", }
0040 
0041 @book{END8,
0042         author = "Endler, Otto",
0043         title = "Valuation theory",
0044         publisher = "Springer-Verlag",
0045         year = 1972,
0046         address = "Berlin-Heidelberg-New York", 
0047         note = "MathSciNet review: 50~{\#}9847", }
0048 
0049 @article{GRE-MAT-POP1,
0050         author = "Green, Barry and Matignon, Michel and Pop, Florian",
0051         title = "On valued function fields {I}",
0052         journal = "Manuscripta Math.",
0053         year = 1989,
0054         volume = 65,
0055         number = 3,
0056         pages = "357--376",
0057         note = "MathSciNet review: 91g:12010", }
0058 
0059 @article{GRE-MAT-POP2,
0060         author = "Green, Barry and Matignon, Michel and Pop, Florian",
0061         title = "On valued function fields {II}",
0062         journal = "J. Reine Angew. Math.",
0063         year = 1990,
0064         volume = 412,
0065         pages = "128--149",
0066         note = "MathSciNet review: 92e:12008", }
0067 
0068 @article{GRE-MAT-POP3,
0069         author = "Green, Barry and Matignon, Michel and Pop, Florian",
0070         title = "On valued function fields {III}",
0071         journal = "J. Reine Angew. Math.",
0072         year = 1992,
0073         volume = 432,
0074         pages = "117--133",
0075         note = "MathSciNet review: 94f:12004", }
0076 
0077 @article{GRE-MAT-POP4,
0078         author = "Green, Barry and Matignon, Michel and Pop, Florian",
0079         title = "On the {L}ocal {S}kolem {P}roperty",
0080         journal = "J. Reine Angew. Math.",
0081         year = 1995,
0082         volume = 458,
0083         pages = "183--199",
0084         note = "MathSciNet review: 95k:12012", }
0085 
0086 @article{HEINZ,
0087         author = "Heinzer, William J.",
0088         title = "Valuation rings and simple transcendental field extensions",
0089         journal = "J. Pure Appl. Algebra",
0090         year = 1982,
0091         volume = 26,
0092         number = 2,
0093         pages = "189--190",
0094         note = "MathSciNet review:  84d:13003",  }
0095 
0096 @article {KAP1,
0097         author = "Kaplansky, Irving",
0098         title = "Maximal fields with valuations {I}",
0099         journal = "Duke Math. J.",
0100         year = 1942,
0101         volume = 9,
0102         pages = "303--321",
0103         note = "MathSciNet review:  3,264d",  }
0104 
0105 @article{KH2,
0106         author = "Khanduja, Sudesh K.",
0107         title = "Value groups and simple transcendental extensions",
0108         journal = "Mathematika",
0109         year = 1991,
0110         volume = 38,
0111         number = 2,
0112         pages = "381--385",
0113         note = "MathSciNet review: 93c:12016",  }
0114 
0115 @article{KH3,
0116         author = "Khanduja, Sudesh K.",
0117         title = "Prolongations of valuations to simple transcendental extensions with given residue field and value group",
0118         journal = "Mathematika",
0119         year = 1991,
0120         volume = 38,
0121         number = 2,
0122         pages = "386--390",
0123         note = "MathSciNet review: 93c:12017 ",  } 
0124 
0125 @article{KH4,
0126         author = "Khanduja, Sudesh K.",
0127         title = "On valuations of {K(X)}",
0128         journal = "Proc. Edinburgh Math. Soc. (2)",
0129         year = 1992,
0130         volume = 35,
0131         number = 3,
0132         pages = "419--426",
0133         note = "MathSciNet review: 94a:12008",  } 
0134 
0135 @article{KH5,
0136         author = "Khanduja, Sudesh K.",
0137         title = "A uniqueness problem in simple transcendental extensions of valued fields",
0138         journal = "Proc. Edinburgh Math. Soc (2)",
0139         year = 1994,
0140         volume = 37,
0141         number = 1,
0142         pages = "13--23",
0143         note = "MathSciNet review: 95b:12010 ",  } 
0144 
0145 
0146 @article{KH6,
0147         author = "Khanduja, Sudesh K.",
0148         title = "On value groups and residue fields of some valued function fields",
0149         journal = "Proc. Edinburgh Math. Soc (2)",
0150         year = 1994,
0151         volume = 37,
0152         number = 3,
0153         pages = "445--454",
0154         note = "MathSciNet review: 95h:12006",  } 
0155 
0156 @article{KH6a,
0157         author = "Khanduja, Sudesh K.",
0158         title = "A note on residually transcendental prolongations with uniqueness property",
0159         journal = "J. Math. Kyoto Univ.",
0160         year = 1996,
0161         volume = 36,
0162         number = 3,
0163         pages = "553--556",
0164         note = "MathSciNet review: 97j:12007",  } 
0165 
0166 @article{KH7,
0167         author = "Khanduja, Sudesh K.",
0168         title = "On residually transcendental valued function fields of conics",
0169         journal = "Glasgow Math. J.",
0170         year = 1996,
0171         volume = 38,
0172         number = 2,
0173         pages = "137--145",
0174         note = "MathSciNet review: 98a:12007",  } 
0175 
0176 
0177 @article{KH9,
0178         author = "Khanduja, Sudesh K.",
0179         title = "On extensions of valuations with prescribed value groups and residue fields",
0180         journal = "J. Indian Math. Soc. (N.S.)",
0181         year = 1996,
0182         volume = 62,
0183         number = "{\mbox{1-4}}",
0184         pages = "57--60",
0185         note = "MathSciNet review: 98c:12013",  } 
0186 
0187 @article{KH9a,
0188         author = "Khanduja, Sudesh K.",
0189         title = "Valued function fields with given genus and residue field",
0190         journal = "J. Indian Math. Soc. (N.S.)",
0191         year = 1997,
0192         volume = 63,
0193         number = "1-4",
0194         pages = "115--121",
0195         note = "MathSciNet review: 99c:12008",  } 
0196 
0197 @article{KH10,
0198         author = "Khanduja, Sudesh K.",
0199         title = "An independence theorem in simple transcendental extensions of valued fields",
0200         journal = "J. Indian Math. Soc. (N.S.)",
0201         year = 1997,
0202         volume = 63,
0203         number = "1-4",
0204         pages = "243--248",
0205         note = "MathSciNet review: 1 618 022",  } 
0206 
0207 @article{KH-GA1,
0208         author = "Khanduja, Sudesh K. and Garg, Usha",
0209         title = "On extensions of valuations to simple transcendental extensions",
0210         journal = "Proc. Edinburgh Math. Soc.~(2)",
0211         year = 1989,
0212         volume = 32,
0213         number = 1,
0214         pages = "147--156",
0215         note = "MathSciNet review: 90e:12019",  } 
0216 
0217 @article{KH-GA2,
0218         author = "Khanduja, Sudesh K. and Garg, Usha",
0219         title = "Rank 2 valuations of {K(X)}",
0220         journal = "Mathematika",
0221         year = 1990,
0222         volume = 37,
0223         number = 1,
0224         pages = "97--105",
0225         note = "MathSciNet review: 91j:12016",  }
0226 
0227 @article{KH-GA3,
0228         author = "Khanduja, Sudesh K. and Garg, Usha",
0229         title = "On rank of extensions of valuations",
0230         journal = "Colloq. Math.",
0231         year = 1990,
0232         volume = 59,
0233         number = 1,
0234         pages = "25--29",
0235         note = "MathSciNet review: 92c:12008",  }
0236 
0237 @article{KH-GA4,
0238         author = "Khanduja, Sudesh K. and Garg, Usha",
0239         title = "On residually generic prolongations to a simple transcendental extension",
0240         journal = "J. Indian Math. Soc. (N.S.)",
0241         year = 1991,
0242         volume = 57,
0243         number = "1-4",
0244         pages = "101--108",
0245         note = "MathSciNet review: 93g:12010",  }
0246 
0247 @article{KH-GA5,
0248         author = "Khanduja, Sudesh K. and Garg, Usha",
0249         title = "Residue fields of valued function fields of conics",
0250         journal = "Proc. Edinburgh Math. Soc.~(2)",
0251         year = 1993,
0252         volume = 36,
0253         number = 3,
0254         pages = "469--478",
0255         note = "MathSciNet review: 94i:12002",  }
0256 
0257 @article{KH-GA6,
0258         author = "Khanduja, Sudesh K. and Garg, Usha",
0259         title = "Prolongations of a {K}rull valuation to a simple transcendental extension",
0260         journal = "J. Indian Math. Soc.~(N.S.)",
0261         year = 1993,
0262         volume = 59,
0263         number = "1-4",
0264         pages = "13--21",
0265         note = "MathSciNet review: 94j:12012",  }
0266 
0267 @article{KH-SA,
0268         author = "Khanduja, Sudesh K. and Saha, Jayanti",
0269         title = "A uniqueness problem in valued function fields on conics",
0270         journal = "Bull London Math. Soc.",
0271         year = 1996,
0272         volume = 28,
0273         number = 5,
0274         pages = "455--462",
0275         note = "MathSciNet review: 98a:12008",  }
0276 
0277 @article{KH-SA2,
0278         author = "Khanduja, Sudesh K. and Saha, Jayanti",
0279         title = "On a generalization of {E}isenstein's irreducibility criterion",
0280         journal = "Mathematika",
0281         year = 1997,
0282         volume = 4,
0283         number = 1,
0284         pages = "37--41",
0285         note = "MathSciNet review: 98f:12002",  }
0286 
0287 @article{KU-PR,
0288         author = "Kuhlmann, Franz-Viktor and Prestel, Alexander",
0289         title = "On places of algebraic function fields",
0290         journal = "J. Reine Angew. Math.",
0291         year = 1984,
0292         volume = 353,
0293         pages = "181--195",
0294         note = "MathSciNet review: 86d:12014",  }
0295 
0296 @article{MACL1,
0297         author = "MacLane, Saunders",
0298         title = "A construction for absolute values in ploynomial rings",
0299         journal = "Trans. Amer. Math. Soc.",
0300         volume = 40,
0301         year = 1936,
0302         pages = "363--395",
0303         note = "European Mathematical Society review: 015.29202",  }
0304 
0305 @article{MAT-OHM1,
0306         author = "Matignon, Michel and Ohm, Jack",
0307         title = "A structure theorem for simple transcendental extensions of valued fields",
0308         journal = "Proc. Amer. Math. Soc.",
0309         volume = 104,
0310         year = 1988,
0311         number = 2,
0312         pages = "392--402",
0313         note = "MathSciNet review: 90h:12011", }
0314 
0315 @article{MAT-OHM2,
0316         author = "Matignon, Michel and Ohm, Jack",
0317         title = "Simple transcendental extensions of valued fields {III}: The uniqueness property",
0318         journal = "J. Math. Kyotot Univ.",
0319         volume = 30,
0320         year = 1990,
0321         number = 2,
0322         pages = "347--365",
0323         note = "MathSciNet review: 91j:12017 ", }
0324 
0325 @article{NAG3,
0326         author = "Nagata, Masayoshi",
0327         title = "A theorem on valuation rings and its applications",
0328         journal = "Nagoya Math. J.",
0329         volume = 29,
0330         year = 1967,
0331         pages = "85--91",
0332         note = "MathSciNet review: 34~{\#}7503", }
0333 
0334 @article{OHM1,
0335         author = "Ohm, Jack",
0336         title = "Simple transcendental extensions of valued fields",
0337         journal = "J.~Math. Kyotot Univ.",
0338         volume = 22,
0339         year = "1982/83",
0340         number = 2,
0341         pages = "201--221",
0342         note = "MathSciNet review: 84a:13005", }
0343 
0344 
0345 @article{OHM2,
0346         author = "Ohm, Jack",
0347         title = "The {R}uled {R}esistance {T}heorem for simple transcendental extensions of valued fields",
0348         journal = "Proc. Amer. Math. Soc.",
0349         volume = 89,
0350         year = 1983,
0351         number = 1,
0352         pages = "{\mbox{16--18}}",
0353         note = "MathSciNet review: 85b:12010", }
0354 
0355 @article{OHM4,
0356         author = "Ohm, Jack",
0357         title = "Simple transcendental extensions of valued fields {II}: A fundamental inequality",
0358         journal = "J.~Math. Kyotot Univ.",
0359         volume = 25,
0360         year = 1985,
0361         number = 3,
0362         pages = "583--596",
0363         note = "MathSciNet review: 87c:12013", }
0364 
0365 @article{POL,
0366         author = "Polzin, Marc",
0367         title = "Prolongement de la valeur absolue de {G}auss et probl{\`{e}}m de {S}kolem",
0368         journal = "Bull. Soc. Math. France",
0369         volume = 116,
0370         year = 1988,
0371         number = 1,
0372         pages = "103--132",
0373         note = "MathSciNet review: 90e:12020", } 
0374 
0375 @article{PP,
0376         author = "Popescu, Liliana and Popescu, Nicolae ",
0377         title = "On the residual transcendental extensions of a valuation.  {K}ey polynomials and augmented valuation",
0378         journal = "Tsukuba J. Math.",
0379         volume = 15,
0380         year = 1991,
0381         number = 1,
0382         pages = "57--78",
0383         note = "MathSciNet review: 92h:12008", } 
0384 
0385 @article{RE,
0386         author = "Rella, Tonio ",
0387         title = "Ordnungsbestimmungen in {I}ntegrit{\"{a}}tsbereichen und {N}ewtonsche {P}olygone",
0388         journal = "J. Reine Angew. Math.",
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0391         pages = "33--48", } 
0392 
0393 @book{RIB12a,
0394         author = "Ribenboim, Paulo",
0395         title = "Th{\`{e}}orie des valuations",
0396         publisher = "Les Presses de l'Universit{\`{e}} de Montr{\`{e}}al",
0397         year = 1964,
0398         address = "Montr{\`{e}}al", 
0399         edition = "1st",  }
0400 
0401 @book{RIB12b,
0402         author = "Ribenboim, Paulo",
0403         title = "Th{\`{e}}orie des valuations",
0404         publisher = "Les Presses de l'Universit{\`{e}} de Montr{\`{e}}al",
0405         year = 1968,
0406         address = "Montr{\`{e}}al", 
0407         edition = "2nd",
0408         note = "MathSciNet review: 40 {\#}2670",   } 
0409 
0410 @article{S1,
0411         author = "Spivakovsky, Mark",
0412         title = "Valuations in function fields of surfaces",
0413         journal = "Amer. J. Math.",
0414         volume = 112,
0415         year = 1990,
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0417         pages = "107--156",
0418         note = "MathSciNet review: 91c:14037", }
0419 
0420 @manual{S2,
0421         author = "Spivakovsky, Mark",
0422         title = "Resolution of singularities {I}: local uniformization",
0423         address = "Toronto",
0424         year = 1996,
0425         note = "Manuscript",  }
0426 
0427 @article{A1,
0428         author = "Abhyankar, Shreeram",
0429         title = "Local uniformization on algebraic surfaces over ground fields of characteristic $p\neq 0$",
0430         journal = "Ann. of Math. (2)",
0431         volume = 63,
0432         year = 1956,
0433         pages = "491--526",
0434         note = "MathSciNet review: 17,1134d", }
0435 
0436 @article{A1a,
0437         author = "Abhyankar, Shreeram",
0438         title = "Corrections: Local uniformization on algebraic surfaces over ground fields of characteristic $p\neq 0$",
0439         journal = "Ann. of Math. (2)",
0440         volume = 78,
0441         year = 1963,
0442         pages = "202--203",
0443         note = "MathSciNet review: 27 {\#}145", }
0444 
0445 @article{A2,
0446         author = "Abhyankar, Shreeram",
0447         title = "On the valuations centered in a local domain",
0448         journal = "Amer. J. Math.",
0449         volume = 78,
0450         year = 1956,
0451         pages = "321--348",
0452         note = "MathSciNet review: 18,556b", }
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0454 @article{A3,
0455         author = "Abhyankar, Shreeram",
0456         title = "Simultaneous resolution for algebraic surfaces",
0457         journal = "Amer. J. Math.",
0458         volume = 78,
0459         year = 1956,
0460         pages = "761--790",
0461         note = "MathSciNet review: 18,600b", }
0462 
0463 @article{A4,
0464         author = "Abhyankar, Shreeram",
0465         title = "On the field of definition of a nonsingular birational transform of an algebraic surface",
0466         journal = "Ann. of Math. (2)",
0467         volume = 65,
0468         year = 1957,
0469         pages = "268--281",
0470         note = "MathSciNet review: 19,63j", }
0471 
0472 @book{A5,
0473         author = "Abhyankar, Shreeram",
0474         title = "Ramification theoretic methods in algebraic geometry",
0475         series = "Ann. of Math. Stud.",
0476         publisher = "Princeton University Press",
0477         number = 43,
0478         year = 1959,
0479         note = "MathSciNet review: 21 {\#}4158", }
0480 
0481 @article{A6,
0482         author = "Abhyankar, Shreeram",
0483         title = "Uniformization in $p$-cyclic extensions of 
0484                 algebraic surfaces over ground fields of characteristic $p$",
0485         journal = "Math. Ann.",
0486         volume = 153,
0487         year = 1964,
0488         pages = "81--96",
0489         note = "MathSciNet review: 28 {\#}3037", }
0490 
0491 @article{A7,
0492         author = "Abhyankar, Shreeram",
0493         title = "Reduction to multiplicity less than $p$ in a $p$-cyclic
0494                  extension of a two dimensional regular local ring ($p$~=~characteristic of the residue field)",
0495         journal = "Math. Ann.",
0496         volume = 154,
0497         year = 1964,
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0499         note = "MathSciNet review: 28 {\#}5064", }
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0501 @article{A8,
0502         author = "Abhyankar, Shreeram",
0503         title = "Uniformization of {J}ungian local domains",
0504         journal = "Math. Ann.",
0505         volume = 159,
0506         year = 1965,
0507         pages = "1--43",
0508         note = "MathSciNet review: 31 {\#}2247", }
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0510 @article{A8a,
0511         author = "Abhyankar, Shreeram",
0512         title = "Corrections: Uniformization of {J}ungian local domains",
0513         journal = "Math. Ann.",
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0519 @incollection{A9,
0520         author = "Abhyankar, Shreeram",
0521         title = "Uniformization in a $p$-cyclic extension of a two-dimensional
0522                  regular local domain of residue field characteristic $p$",
0523         booktitle = "Wiss. Abh. Arbeitsgemeinschaft Nordrhein-Westfalen 33,
0524                 Festschr. Ged{\"a}echtnisfeier Karl Weierstrass",
0525         year = 1966,
0526         publisher = "Westdeutscher Verlag, K{\"o}ln und Opladen",
0527         pages = "243--317",
0528         note = "European Mathematical Society review: 144.03104",  }
0529 
0530 @book{A10,
0531         author = "Abhyankar, Shreeram Shankar",
0532         title = "Resolution of singularities of embedded algebraic surfaces",
0533         series = "Pure and Appl. Math",
0534         publisher = "Academic Press",
0535         address = "New York-London",
0536         year = 1966,
0537         note = "[2nd edition: Springer (1998)]  MathSciNet review: 36~{\#}164",  }
0538 
0539 @article{A11,
0540         author = "Abhyankar, Shreeram Shankar",
0541         title = "Nonsplitting of valuations in extensions of two dimensional regular local domains",
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0544         year = 1967,
0545         pages = "87--144",
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0549         author = "Ax, James and Kochen, Simon",
0550         title = "Diophantine problems over local fields {I}",
0551         journal = "Amer. J. Math.",
0552         volume = 87,
0553         year = 1965,
0554         pages = "605--630",
0555         note = "MathSciNet review: 32 {\#}2401", }
0556 
0557 @article{AX-KOC2,
0558         author = "Ax, James and Kochen, Simon",
0559         title = "Diophantine problems over local fields {II}: A complete set of axioms for $p$-adic number theory",
0560         journal = "Amer. J. Math.",
0561         volume = 87,
0562         year = 1965,
0563         pages = "631--648",
0564         note = "MathSciNet review: 32 {\#}2402", }
0565 
0566 @book{AX3,
0567         author = "Ax, James",
0568         title = "A metamathematical approach to some problems in number theory",
0569         series = "Proc. Sympos. Pure Math.",
0570         publisher = "Amer. Math. Soc.",
0571         volume = 20,
0572         year = 1969,
0573         note = "MathSciNet review: 47 {\#}4966",  }
0574 
0575 
0576 @book{BO-GU-RE,
0577         author = "Bosch, Siegfried and G{\"{u}}ntzer, Ulrich and Remmert, Reinhold",
0578         title = "Non-Archimedean analysis. {A} systematic approach to rigid analytic geometry",
0579         series = "Grundlehren Math. Wiss.",
0580         publisher = "Springer-Verlag",
0581         address = "Berlin-New York",
0582         volume = 261,
0583         year = 1984,
0584         note = "MathSciNet review: 86b:32031", }
0585 
0586 @article{BRWS,
0587         author = "Brown, Scott Shorey",
0588         title = "Bounds on transfer principles for algebraically closed and complete discretely valued fields",
0589         journal = "Mem. Amer. Math. Soc.",
0590         volume = 15,
0591         number =204,
0592         year = 1978,
0593         note = "MathSciNet review: 80j:03045", }
0594 
0595 @article{BR-SCHU,
0596         author = "Br{\"{o}}cker, Ludwig and Sch{\"{u}}lting, Heinz-Werner",
0597         title = "Valuations of function fields from the geometrical point of view",
0598         journal = "J. Reine Angew. Math.",
0599         volume = 365,
0600         year = 1986,
0601         pages = "12--32",
0602         note = "MathSciNet review: 87m:12010", }
0603 
0604 @book{CHER1,
0605         author = "Cherlin, Gregory L.",
0606         title = "Model theoretic algebra",
0607         series = "Lecture Notes in Math.",
0608         publisher = "Springer-Verlag",
0609         address = "Berlin-New York",
0610         volume = 521,
0611         year = 1976,
0612         note = "MathSciNet review: 58 {\#}27455", }
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0616         title = "Model theoretic algebra",
0617         journal = "J. Symbolic Logic",
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0619         number = 2,
0620         year = 1976,
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0623 
0624 @misc{CHER-DI1,
0625         author = "Cherlin, Gregory L. and Dickmann, Max A.",
0626         title = "Anneaux r{\'e}els clos et anneau de fonctions continue",
0627         howpublished = "CRAS Paris 290",
0628         year = 1980,  }
0629 @article{CHER-DI2,
0630         author = "Cherlin, Gregory L. and Dickmann, Max A.",
0631         title = "Real closed rings {I}. {R}esidue rings of
0632                 rings of continuous functions",
0633         journal = "Fund. Math.",
0634         volume = 126,
0635         year = 1986,
0636         number = 2,
0637         pages = "147--183",
0638         note = "MathSciNet review: 87h:12001",   }
0639 
0640 @article{CHEV1, 
0641         author = "Chevalley, Claude",
0642         title = "D{\'e}monstration d'une hypoth{\`e}se de {M}. {A}rtin",
0643         journal = "Abh. Math. Sem. Univ. Hamburg",
0644         volume = 11,
0645         year = 1936,
0646         pages = "73--75",  }
0647 
0648 @book{CHA-KE,
0649         author = "Chang, Chen-chung and Keisler, H. Jerome",
0650         title = "Model theory",
0651         publisher = "North-Holland",
0652         series = "Stud. Logic Found. Math.",
0653         volume = 73,
0654         year = 1973,
0655         address = "Amsterdam-London",
0656         note = "MathSciNet review: 53 {\#}12927", }
0657 
0658 @article{dJ,
0659         author = "de Jong, Aise Johan",
0660         title = "Smoothness, semi-stability and alterations",
0661         journal = "Inst. Hautes {\'{E}}tudes Sci. Publ. Math.",
0662         volume = 83,
0663         year = 1996,
0664         pages = "51--93",
0665         note = "MathSciNet review: 98e:14011", }
0666 
0667 @unpublished{DEL,
0668         author = "Delon, Fran{\c{c}}oise",
0669         title = "Quelqus propri{\'e}t{\'e}s des corps valu{\'e}s en th{\'e}ories 
0670                 des mod{\`e}les",
0671         year = 1981,
0672         note = "PhD. Thesis, Paris VII",  } 
0673 
0674 @unpublished{DEL1,
0675         author = "Delon, Fran{\c{c}}oise",
0676         title = "Structure des anneaux de s{\'e}ries formaelles {\`a}
0677                  plusieurs ind{\'e}termin{\'e}es",
0678         year = 1977,
0679         note = "Th{\`e}se de 3{\`e}me cycle, Paris VII",  } 
0680 
0681 @article{DEU,
0682         author = "Deuring, Max",
0683         title = "Reduktion algebraischer {F}unktionenk{\"{o}}rper nach {P}rimdivisoren des {K}onstantenk{\"{o}}rper",
0684         journal = "Math. Z.",
0685         volume = 47,
0686         year = 1942,
0687         pages = "643--654",
0688         note = "MathSciNet review: 7,362c", }
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0691         author = "Eklof, Paul C.",
0692         title = "Lefschetz's {P}rinciple and local functors",
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0694         volume = 37,
0695         year = 1973,
0696         pages = "333--339",
0697         note = "MathSciNet review: 48 {\#}3736", }
0698 
0699 @incollection{EL,
0700         author = "Elliot, George A.",
0701         title = "On totally ordered groups, and ${K}_{0}$",
0702         booktitle = "Ring Theory Waterloo 1978",
0703         editor = "D. Handelman and J. Lawrence",
0704         journal = "Lecture Notes in Math.",
0705         publisher = "Springer",
0706         volume = 734,
0707         year = 1978,
0708         pages = "1--49", }
0709 
0710 @article{EPP,
0711         author = "Epp, Helmut P.",
0712         title = "Eliminating wild ramification",
0713         journal = "Invent. Math.",
0714         volume = 19,
0715         year = 1973,
0716         pages = "235--249", 
0717         notes = "MathSciNet review: 48 {\#}294", }
0718 
0719 @article{ER1,
0720         author = "Ershov, Yuri L.",
0721         title = "On the elementary theory of maximal normed fields",
0722         journal = "Dokl. Akad. Nauk. SSSR",
0723         volume = 165,
0724         year = 1965,
0725         pages = "21--23",
0726         note = "[English translation: Sov. Math. Dokl. vol.6 (1965), 1390-1393,
0727                  European Mathematical Society review: 152.02403]",  }
0728 
0729 @article{GR-RE,
0730         author = "Grauert, Hans and Remmert, Reinhold",
0731         title = "{\"{U}}ber die {M}ethode der diskret bewerteten {R}inge in der nicht archimedischen {A}nalysis",
0732         journal = "Invent. Math.",
0733         volume = 2,
0734         year = 1966,
0735         pages = "87--133", 
0736         notes = "MathSciNet review: 34 {\#}5864", }
0737 
0738 @article{GRA3,
0739         author = "Gravett, Kenneth Albert George",
0740         title = "Note on a result of {K}rull",
0741         journal = "Proc. Cambridge Philos. Soc.",
0742         volume = 52,
0743         year = 1956,
0744         pages = "379", 
0745         notes = "MathSciNet review: 17,822f", }
0746 
0747 
0748 @article{GRE1,
0749         author = "Green, Barry",
0750         title = "Recent results in the theory of constant reductions",
0751         journal = "S{\'{e}}m. Th{\'{e}}or. Nombres Bordeaux (2)",
0752         volume = 3,
0753         number = 2,
0754         year = 1991,
0755         pages = "275--310", 
0756         notes = "MathSciNet review: 93d:12015", }
0757 
0758 @article{GRE2,
0759         author = "Green, Barry",
0760         title = "The relative genus inequality for curves over valuation rings",
0761         journal = "J. Algebra",
0762         volume = 181,
0763         number = 3,
0764         year = 1996,
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0767 
0768 @article{GRB1a,
0769         author = "Greenberg, Marvin J.",
0770         title = "Rational points in {H}enselian discrete valuation rings",
0771         journal = "Inst. Hautes {\'{E}}tudes Sci. Publ. Math.",
0772         volume = 31,
0773         year = 1966,
0774         pages = "59--64", 
0775         notes = "MathSciNet review: 34 {\#}7515", }
0776 
0777 @article{GRB1b,
0778         author = "Greenberg, Marvin J.",
0779         title = "Rational points in {H}enselian discrete valuation rings",
0780         journal = " Bull. Amer. Math. Soc.",
0781         volume = 72,
0782         year = 1966,
0783         pages = "713--714", 
0784         notes = "MathSciNet review: 33 {\#}124", }
0785 
0786 @article{GRL,
0787         author = "Greenleaf, Newcomb",
0788         title = "Irreducible subvarieties and rational points",
0789         journal = "Amer. J. Math.",
0790         volume = 87,
0791         year = 1965,
0792         pages = "25-31", 
0793         notes = "MathSciNet review: 32 {\#}108 ", }
0794 
0795 @article{GRU2,
0796         author = "Gruson, Laurent",
0797         title = "Fibr{\'{e}}s vectoriels sur un polydisque ultram{\'{e}}trique",
0798         journal = "Ann. Sci. {\'{E}}cole Norm. Sup.",
0799         volume = 4,
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0802         notes = "MathSciNet review: 37 {\#}5228", }
0803 
0804 @book{HO,
0805         author = "Hodges, Wilfrid",
0806         title = "Model theory",
0807         series = "Encyclopedia Math. Appl.",
0808         publisher = "Cambridge University Press",
0809         volume = 42,
0810         year = 1993,
0811         notes = "MathSciNet review: 94e:03002", }
0812 
0813 @book{JAC,
0814         author = "Jacobson, Nathan",
0815         title = "Lectures in abstract algebra. Vol III: Theory of fields and Galois theory",
0816         series = "Graduate Texts in Math.",
0817         publisher = "Springer",
0818         address = "New York",
0819         year = 1964,
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0821 
0822 @article{JA-ROQ,
0823         author = "Jarden, Moshe and Roquette, Peter",
0824         title = "The {N}ullstellensatz over {\mbox{$p$-adically}} closed fields",
0825         journal = "J. Math. Soc. Japan ",
0826         volume = 32,
0827         number = 3,
0828         year = 1980,
0829         pages = "425--460", 
0830         notes = "MathSciNet review: 82g:14027", }
0831 
0832 @article {KAP2,
0833         author = "Kaplansky, Irving",
0834         title = "Maximal fields with valuations {II}",
0835         journal = "Duke Math. J.",
0836         year = 1945,
0837         volume = 12,
0838         pages = "243-248",
0839         note = "MathSciNet review:  7,3d",  }
0840 
0841 @article {KU-PA-ROQ,
0842         author = "Kuhlmann, Franz-Viktor and Pank, Matthias and Roquette, Peter",
0843         title = "Immediate and purely wild extensions of valued fields",
0844         journal = "Manuscripta Math.",
0845         year = 1986,
0846         volume = 55,
0847         number = 1,
0848         pages = "39--67",
0849         note = "MathSciNet review:  87d:12012",  }
0850 
0851 @article {KR,
0852         author = "Krull, Wolfgang",
0853         title = "Allgemeine {B}ewertungstheorie",
0854         journal = "J. Reine Angew. Math.",
0855         year = 1931,
0856         volume = 167,
0857         pages = "160--196",  }
0858 
0859 @article {OHM6,
0860         author = "Ohm, Jack",
0861         title = "The henselian defect for valued fuction fields",
0862         journal = "Proc. Amer. Math. Soc.",
0863         year = 1989,
0864         volume = 107,
0865         number = 2,
0866         pages = "299--308",
0867         note = "MathSciNet review:  90h:12012",  }
0868 
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0870         author = "Ore, Oystein",
0871         title = "On a special class of polynomials",
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0873         year = 1933,
0874         volume = 35,
0875         pages = "559--584",
0876         note = "European Mathematical Society review:  007.15102",  }
0877 
0878 @article {OS,
0879         author = "Ostrowski, Alexander",
0880         title = "Untersuchungen zur arithmetischen {T}heorie der {K}{\"{o}}rper",
0881         journal = "Math. Z.",
0882         year = 1935,
0883         volume = 39,
0884         pages = "269--404",  }
0885 
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0890         year = 1996,
0891         volume = 144,
0892         number = 1,
0893         pages = "1--34",
0894         note = "MathSciNet review:  97h:12013",  }
0895 
0896 @article {P1,
0897         author = "Prestel, Alexander",
0898         title = "Model theory of fields: an application to positive semidefinite polynomials",
0899         journal = "M{\'{e}}m. Soc. Math. France (N.S.)",
0900         year = 1984,
0901         volume = 16,
0902         pages = "53--65",
0903         note = "MathSciNet review:  87c:12002",  }
0904 
0905 @book{PR2,
0906         author = "Prestel, Alexander and Roquette, Peter",
0907         title = "Formally $p$-adic fields",
0908         series = "Lecture Notes in Math.",
0909         publisher = "Springer Verlag",
0910         address = "Berlin-New York",
0911         year = 1984,
0912         volume = 1050,
0913         note = "MathSciNet review:  85m:11090",  }
0914 
0915 @article {PR-ZI,
0916         author = "Prestel, Alexander and Ziegler, Martin",
0917         title = "Model theoretic methods in the theory of topological fields",
0918         journal = "J. Reine Angew. Math.",
0919         year = 1978,
0920         volume = "299/300",
0921         pages = "318--341",
0922         note = "MathSciNet review:  80f:54034",  }
0923 
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0925         author = "Ribenboim, Paulo",
0926         title = "Equivalent forms of {H}ensel's lemma",
0927         journal = "Exposition Math.",
0928         year = 1985,
0929         volume = 3,
0930         number =1,
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0932         note = "MathSciNet review:  87a:12014",  }
0933 
0934 @book{ROB,
0935         author = "Robinson, Abraham",
0936         title = "Complete theories",
0937         publisher = "North-Holland",
0938         year = 1956,
0939         address= "Amsterdam",
0940         note = "MathSciNet review:  17,817b",  }
0941 
0942 @article {ROQ2,
0943         author = "Roquette, Peter",
0944         title = "Zur {T}heorie der {K}onstantenreduktion algebraischer {M}annigfaltigkeiten.
0945           {I}nvarianz des arithmetischen {G}eschlechts einer {M}annigfaltigkeit und der virtuellen
0946           {D}imension ihrer {D}ivisoren",
0947         journal = "J.~Reine~Angew.~Math.",
0948         year = 1958,
0949         volume = 200,
0950         pages = "1--44",
0951         note = "MathSciNet review:  20~{\#}4560",  }
0952 
0953 @article {ROQ6,
0954         author = "Roquette, Peter",
0955         title = "On the {R}iemann $p$-space if a field: {T}he $p$-adic
0956           analogue of {W}eierstrass' approximation theorem and related
0957           problems",
0958         journal = "Abh. Math. Sem. Univ. Hamburg",
0959         year = 1978,
0960         volume = 47,
0961         pages = "236--259",
0962         note = "MathSciNet review:  58 {\#}10837",  }
0963 
0964 @article {ROQ7,
0965         author = "Roquette, Peter",
0966         title = "$p$-adische und saturierte {K}{\"{o}}rper.  {N}eue
0967           {V}ariationen zu einem alten {T}hema von {H}asse",
0968         journal = "Mitt. Math. Ges. Hamburg",
0969         year = 1982,
0970         volume = 11,
0971         number = 1,
0972         pages = "25--45",
0973         note = "MathSciNet review:  84m:12028",  }
0974 
0975 @article {ROQ8,
0976         author = "Roquette, Peter",
0977         title = "Some tendencies in contemporary algebra",
0978         journal = "Perspect. Math.",
0979         year = 1984,
0980         pages = "393--422",
0981         note = "MathSciNet review:  86i:12016",  }
0982 
0983 @book{SA,
0984         author = "Sacks, Gerald E.",
0985         title = "Saturated model theory",
0986         publisher = "Benjamin, Inc.",
0987         series = "Mathematics Lecture Note Series. W. A.",
0988         address = " Reading, Mass.",
0989         year = 1972,  }
0990 
0991 @inbook{SCH,
0992         author = "Scheiderer, Claus ",
0993         title = "Real algebra and its applications to geometry
0994           in the last 10 years: some major developments and results",
0995         booktitle = "Real Algebraic Geometry. Proc. Conf. Rennes 1991.",
0996         series = "Lecture Notes in Math.",
0997         publisher = "Springer",
0998         address = "New York",
0999         year = 1992,
1000         volume = 1524,
1001         pages = "1--36 and 75--96",
1002         note = "MathSciNet review:  95b:14039",  }
1003 
1004 @article {WA1,
1005         author = "Warner, Seth",
1006         title = "Nonuniqueness of immediate maximal extensions of a valuation",
1007         journal = "Math. Scand.",
1008         year = 1985,
1009         volume = 56,
1010         number = 2,
1011         pages = "191--202 ",
1012         note = "MathSciNet review:  87d:12013",  }
1013 
1014 @book{WA3,
1015         author = "Warner, Seth",
1016         title = "Topological fields",
1017         publisher = "North-Holland ",
1018         series = "North-Holland Math. Stud.",
1019         year = 1989,
1020         volume = 157,
1021         address = "Amsterdam-New York",
1022         note = "MathSciNet review:  90i:12012",  }
1023 
1024 @article {WHA1,
1025         author = "Whaples, George",
1026         title = "Additive polynomials",
1027         journal = "Duke Math. J.",
1028         year = 1954,
1029         volume = 21,
1030         pages = "55--65",
1031         note = "MathSciNet review:  17,465b",  }
1032 
1033 @article {WHA2,
1034         author = "Whaples, George",
1035         title = "Galois cohomology of additive polynomials and $n$-th
1036          power mappings of fields",
1037         journal = "Duke Math. J.",
1038         year = 1957,
1039         volume = 24,
1040         pages = "143--150",
1041         note = "MathSciNet review:  19,1164f",  }
1042 
1043 @article {Z,
1044         author = "Zariski, Oscar",
1045         title = "Local uniformization on algebraic varieties",
1046         journal = "Ann. of Math. (2)",
1047         year = 1940,
1048         volume = 41,
1049         pages = "852--896",
1050         note = "MathSciNet review:  2,124a",  }
1051 
1052 @book{ZA-SA2, 
1053         author = "Zariski, Oscar and Samuel, Pierre",
1054         title = "Commutative Algebra {II}",
1055         publisher = "Springer-Verlag",
1056         year = 1975,
1057         address = "New York-Heidelberg",
1058         series = "Graduate Texts in Math.",
1059         volume = 29,
1060         note = "MathSciNet review:  52 {\#}10706",  } 
1061 
1062 @article {ALL1,
1063         author = "Alling, Norman L.",
1064         title = "On ordered divisible groups",
1065         journal = "Trans. Amer. Math. Soc.",
1066         year = 1960,
1067         volume = 94,
1068         number = 3,
1069         pages = "498--514",
1070         note = "MathSciNet review:  25 {\#}4013",  }
1071 
1072 @article {ALL2,
1073         author = "Alling, Norman L.",
1074         title = "A characterization of abelian ${\eta}_{\alpha}$-groups in terms of their natural valuation",
1075         journal = "Proc. National Acad. Sci. U.S.A.",
1076         year = 1961,
1077         volume = 47,
1078         number = 5,
1079         pages = "711--713",
1080         note = "MathSciNet review:  31 {\#}259",  }
1081 
1082 @article {ALL3,
1083         author = "Alling, Norman L.",
1084         title = "On the existence of real-closed fields that are
1085           ${\eta}_{\alpha}$-sets of power ${\aleph}_{\alpha}$",
1086         journal = "Trans. Amer. Math. Soc.",
1087         year = 1962,
1088         volume = 103,
1089         number = 3,
1090         pages = "341--352",
1091         note = "MathSciNet review:  26 {\#}3615",  }
1092 
1093 @article {ALL4,
1094         author = "Alling, Norman L.",
1095         title = "On exponentially closed fields",
1096         journal = "Proc. Amer. Math. Soc.",
1097         year = 1962,
1098         volume = 13,
1099         number = 5,
1100         pages = "706--711",
1101         note = "MathSciNet review:  25 {\#}5058 ",  }
1102 
1103 @article {ALL5,
1104         author = "Alling, Norman L.",
1105         title = "An application of valuation theory to rings of continuous real and complex-valued functions",
1106         journal = "Trans. Amer. Math. Soc.",
1107         year = 1963,
1108         volume = 109,
1109         number = 3,
1110         pages = "492--508",
1111         note = "MathSciNet review:  27 {\#}4830",  }
1112 
1113 @article {ALL6,
1114         author = "Alling, Norman L.",
1115         title = "The valuation theory of meromorphic function fields over open {R}iemann surfaces",
1116         journal = "Acta Math.",
1117         year = 1963,
1118         volume = 110,
1119         pages = "79--96",
1120         note = "MathSciNet review:  28 {\#}3992",  }
1121 
1122 @inbook{ALL7,
1123         author = "Alling, Norman L.",
1124         title = "The valuation theory of meromorphic function fields ",
1125         series = "Proc. Sympos. Pure Math.",
1126         publisher = "Amer. Math. Soc.",
1127         address = "Providence",
1128         year = 1968,
1129         volume = 11,
1130         pages = "8--29",
1131         note = "MathSciNet review:  38 {\#}4700",  }
1132 
1133 @article {ALL8,
1134         author = "Alling, Norman L.",
1135         title = "Residue class fields of rings of continuous functions ",
1136         journal = "Sympos. Math.",
1137         year = 1976,
1138         volume = 17,
1139         pages = "55--67",
1140         note = "MathSciNet review:  56~{\#}6593",  }
1141 
1142 @article {ALL9,
1143         author = "Alling, Norman L.",
1144         title = "Neumann-complete formal power series fields",
1145         journal = "C. R. Math. Rep. Acad. Sci. Canada",
1146         year = 1987,
1147         volume = 9,
1148         number = 5,
1149         pages = "247--252",
1150         note = "MathSciNet review:  89a:12018",  }
1151 
1152 @article {ALL10,
1153         author = "Alling, Norman L.",
1154         title = "Pythagorean and {E}uclidean ordered valued fields",
1155         journal = "C. R. Math. Rep. Acad. Sci. Canada",
1156         year = 1990,
1157         volume = 12,
1158         number = 5,
1159         pages = "187--192",
1160         note = "MathSciNet review:  92a:12005",  }
1161 
1162 @manual{ALL11,
1163         author = "Alling, Norman L.",
1164         title = "A {H}ensel's lemma for maximal valued abelian groups with operators",
1165         year = 1994,
1166         note = "Manuscript",  }
1167 
1168 @article {AR-SCHR,
1169         author = "Artin, Emil and Schreier, Otto",
1170         title = "Algebraische {K}onstruktionen reeller {K}{\"{o}}rper",
1171         journal = "Abh. Math. Sem. Univ. Hamburg",
1172         year = 1927,
1173         volume = 5,
1174         pages = "85--99", }
1175 
1176 @article {AR-WHA,
1177         author = "Artin, Emil and Whaples, George",
1178         title = "Axiomatic characterization of fields by the product formula for valuations",
1179         journal = "Bull. Amer. Math. Soc.",
1180         year = 1945,
1181         volume = 51,
1182         pages = "469--492",
1183         note = "MathSciNet review:  7,111f",  }
1184 
1185 @article {AX1,
1186         author = "Ax, James",
1187         title = "Solving diophantine problems modulo every prime",
1188         journal = "Ann. of Math.~(2)",
1189         year = 1967,
1190         volume = 85,
1191         pages = "161--183",
1192         note = "MathSciNet review:  35 {\#}126",  }
1193 
1194 @article {AX2,
1195         author = "Ax, James",
1196         title = "Zeros of polynomials over local fields --- {T}he {G}alois {A}ction",
1197         journal = "J. Algebra",
1198         year = 1970,
1199         volume = 15,
1200         pages = "417--428",
1201         note = "MathSciNet review: 41 {\#}8386",  }
1202 
1203 @article{AX-KOC3,
1204         author = "Ax, James and Kochen, Simon",
1205         title = "Diophantine problems over local fields {III}.  {D}ecidable fields",
1206         journal = "Ann. of Math.~(2)",
1207         volume = 83,
1208         year = 1966,
1209         pages = "437--456",
1210         note = "MathSciNet review: 34 {\#}1262", }
1211 
1212 @article{BAER,
1213         author = "Baer, Reinhold",
1214         title = "{\"{U}}ber nicht-{A}rchimedisch geordnete {K}{\"{o}}rper",
1215         journal = "Sitzungsber. Heidelb. Akad. Wiss. Math.-Natur. Kl.",
1216         volume = 8,
1217         year = 1927,
1218         pages = "3--13", }
1219 
1220 @article{BAN,
1221         author = "Banaschewski, Bernhard",
1222         title = "Totalgeordnete {M}oduln",
1223         journal = "Arch. Math.",
1224         volume = 7,
1225         year = 1957,
1226         pages = "430--440",
1227         note = "MathSciNet review: 19,385c", }
1228 
1229 @book{BAR,
1230         editor = "Barwise, Jon",
1231         title = "Handbook of Mathematical Logic",
1232         publisher = "North-Holland",    
1233         address = "Amsterdam--New York--Oxford",
1234         year =1977,  }
1235 
1236 @article{BAR-EK,
1237         author = "Barwise, Jon and Eklof, Paul",
1238         title = "Lefschetz's {P}rinciple",
1239         journal = "J. Algebra",
1240         volume = 13,
1241         year = 1969,
1242         pages = "554--570",
1243         note = "MathSciNet review: 41 {\#}5207", }
1244 
1245 
1246 @article{BAS1,
1247         author = "Basarab, Serban A.",
1248         title = "Certain metamathematical aspects of the theory of {H}enselian field",
1249         journal = " Stud. Cerc. Mat.",
1250         volume = 25,
1251         year = 1973,
1252         pages = "1449--1459",
1253         note = "MathSciNet review: 52 {\#}8104", }
1254 
1255 @article{BAS2,
1256         author = "Basarab, Serban A.",
1257         title = "Some model theory for {H}enselian valued fields",
1258         journal = " J. Algebra",
1259         volume = 55,
1260         year = 1978,
1261         number = 2,
1262         pages = "191--212",
1263         note = "MathSciNet review: 82m:03046", }
1264 
1265 @article{BAS3,
1266         author = "Basarab, Serban A.",
1267         title = "A model--theoretic transfer theorem for {H}enselian valued fields",
1268         journal = " J. Reine Angew. Math.",
1269         volume = "311/312",
1270         year = 1979,
1271         pages = "1--30",
1272         note = "MathSciNet review: 81h:03071", }
1273 
1274 @article{BAS4,
1275         author = "Basarab, Serban A.",
1276         title = "Model--theoretic methods in the theory of {H}enselian valued fields {I},{II}",
1277         journal = "Stud. Cerc. Mat.",
1278         volume = 31,
1279         number =1,
1280         year = 1979,
1281         pages = "3--39 ({I}) and 617--656 ({II})",
1282         note = "MathSciNet review: PartI: 82e:12034 and {\mbox{PartII:}} 82e:12035", }
1283 
1284 @article{BAS5,
1285         author = "Basarab, Serban A.",
1286         title = "Relative elimination of quantifiers for Henselian valued fields",
1287         journal = "Ann. Pure Appl. Logic",
1288         volume = 53,
1289         number =1,
1290         year = 1991,
1291         pages = "51--74",
1292         note = "MathSciNet review: 92j:03028", }
1293 
1294 @article{BAS-KU1,
1295         author = "Basarab, Serban A. and Kuhlmann, Franz-Viktor",
1296         title = "An {I}somorphism {T}heorem for {H}enselian algebraic extensions of valued fields",
1297         journal = "Maunscripta Math.",
1298         volume = 77,
1299         number = "2-3",
1300         year = 1991,
1301         pages = "113--126",
1302         note = "MathSciNet review: 93k:12017", }
1303 
1304 @article{BAS-KU2,
1305         author = "Basarab, Serban A. and Kuhlmann, Franz-Viktor",
1306         title = "Correction to: ``{A}n isomorphism theorem for {H}enselian
1307                  algebraic extensions of valued fields'' [{M}anuscripta 
1308                  {M}ath. {77} (1992), no. 2-3, 113--126; {MR} 93k:12017].",
1309         journal = "Maunscripta Math.",
1310         volume = 84,
1311         number = 1,
1312         year = 1994,
1313         pages = "113--114",
1314         note = "MathSciNet review: 95e:12011", }
1315 
1316 @incollection{BAUR1,
1317         author = "Baur, Walter",
1318         title = "Die {T}heorie der {P}aare reell abgeschlossener {K}{\"{o}}rper",
1319         booktitle = " Logic and algorithmic (Zurich, 1980)",
1320         series = "Monograph. Enseign. Math.",
1321         publisher = "Univ. Gen{\`e}ve",
1322         address = "Gen{\`e}ve",
1323         volume = 30,
1324         year = 1982,
1325         pages = "25--34",
1326         note = "MathSciNet review: 83c:03028", }
1327 
1328 @article{BAUR2,
1329         author = "Baur, Walter",
1330         title = "On the elementary theory of pairs of real closed fields~{II}",
1331         journal = "J. Symbolic Logic",
1332         volume = 47,
1333         number = 3,
1334         year = 1982,
1335         pages = "669--679",
1336         note = "MathSciNet review: 84j:03072", }
1337 
1338 @incollection{BDL1,
1339         author = "Becker, Joseph and Denef, Jan and Lipshitz, Leonard",
1340         title = "Further remarks on the elementary theory of formal power
1341                  series rings. {M}odel theory of algebra and arithmetic",
1342         booktitle = "Model theory of algebra and arithmetic (Proc. Conf.,
1343                  Karpacz, 1979)",
1344         series = "Lecture Notes in Math.",
1345         publisher = "Springer", 
1346         address = "Berlin-New York",
1347         volume = 834,
1348         year = 1980,
1349         pages = "1--9",
1350         note = "MathSciNet review: 83a:13013", }
1351 
1352 @incollection{BE-HO1,
1353         author = "Benabdallah, Khalid and Honda, Kin-ya",
1354         title = "Straight bases of abelian $p$-groups",
1355         booktitle = "Abelian group theory (Honolulu, Hawaii, 1983)",
1356         series = "Lecture Notes in Math.",
1357         publisher = "Springer",
1358         address = "Berlin-New York",
1359         volume = 1006,
1360         year = 1983,
1361         pages = "556--561",
1362         note = "MathSciNet review: 85c:20044", }
1363 
1364 @phdthesis{BEL1,
1365         author = "B{\'{e}}lair, Luc",
1366         title = "Topics in the model theory of $p$-adic fields and spectra",
1367         school = "Yale",
1368         year = 1985,  }
1369 
1370 @article{BEL2,
1371         author = "B{\'{e}}lair, Luc",
1372         title = "Substructures and uniform elimination for $p$-adic fields",
1373         journal = "Ann. Pure Appl. Logic",
1374         volume = 39,
1375         year = 1988,
1376         number = 1,
1377         pages = "1--17",
1378         note = "MathSciNet review: 89j:03026", }
1379 
1380 @book{BEL3,
1381         author = "B{\'{e}}lair, Luc",
1382         title = "Th{\'{e}}orie des mod{\`{e}}les des corps $p$-adiques",
1383         series = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ",
1384         publisher = "{\'{E}}quipe de Logique Math{\'e}matique",
1385         address = "Paris",
1386         organization = "Universit{\'e} Paris {VII}",
1387         year = 1987,  }
1388 
1389 @inproceedings{BE-BO,
1390         author = "Benabdallah, Khalid and Bouabdillah, D.",
1391         title = "Straight and strongly straight primary
1392           modules over principal ideal domains. {A}belian groups and modules ",
1393         booktitle = "CISM Courses and Lectures",
1394         series = "Proc. Conf. Udine/Italy 1984",
1395         editor = "R. G{\"o}bel and C. Metelli and A. Orsatti, L. Salce",
1396         volume = 287,
1397         year = 1984,
1398         pages = "115--130",
1399         note = "MathSciNet review: 86i:20072", }
1400 
1401 @incollection{BE-HO2,
1402         author = "Benabdallah, Khalid and Honda, Kin-ya",
1403         title = "Straight bases of abelian $p$-groups",
1404         booktitle = "Albelian group theory, Proc. Conf. Honolulu 1983",
1405         series = "Lecture Notes in Math.",
1406         publisher = "Springer",
1407         address = "Berlin-New York",
1408         volume = 1006,
1409         year = 1983,
1410         pages = "556--561",
1411         note = "MathSciNet review: 85c:20044", }
1412 
1413 @inbook{BOU2,
1414         author = "Bourbaki, Nicolas",
1415         title = "General topology",
1416         chapter = "1-4",
1417         publisher = "Springer--Verlag",
1418         year = 1989,
1419         address = "Berlin--New York",
1420         edition = "reprint of the 1966",
1421         note = "MathSciNet review: 90a:54001a", }
1422 
1423 @article{BOUG,
1424         author = "Boughattas, Sedki",
1425         title = "Optimal results on the existence of an integer part in ordered fields",
1426         journal = "J. Symbolic Logic",
1427         volume = 58,
1428         year = 1993,
1429         number = 1,
1430         pages = "326--333",
1431         note = "MathSciNet review: 94h:03066", }
1432 
1433 @book{BR-SCHK,
1434         author = "Br{\"{o}}cker, Ludwig and Schinke, Johann-Heinrich",
1435         title = "On the $L$-adic spectrum",
1436         series = "Schriftenreihe Math. Inst. Univ. M{\"{u}}nster 2. Ser.",
1437         publisher = "Universit{\"a}t M{\"u}nster, Mathematisches Institut",
1438         volume = 40,
1439         year = 1986,
1440         note = "MathSciNet review: 88c:14031", }
1441 
1442 @article{BRW1,
1443         author = "Brown, Ron",
1444         title = "Valued vector spaces of countable dimension",
1445         journal = "Publ. Math. Debrecen",
1446         volume = 18,
1447         year = 1971,
1448         pages = "149--151 ",
1449         note = "MathSciNet review: 47 {\#}764", }
1450 
1451 @article{BRW2,
1452         author = "Brown, Ron",
1453         title = "Real places and ordered fields",
1454         journal = "Rocky Mountain J. Math.",
1455         volume = 1,
1456         number = 4,
1457         year = 1971,
1458         pages = "633--636 ",
1459         note = "MathSciNet review: 44 {\#}2730", }
1460 
1461 @article{BRW-CR-PE,
1462         author = "Brown, Ron and Craven, Thomas C. and Pelling, M. J.",
1463         title = "Ordered fields satisfying {R}olle's theorem",
1464         journal = "Illinois J. Math.",
1465         volume = 30,
1466         number = 1,
1467         year = 1986,
1468         pages = "66--78 ",
1469         note = "MathSciNet review: 87f:12004", }
1470 
1471 @article{BRW-WAR,
1472         author = "Brown, Ron and Warner, Hoyt D.",
1473         title = "Quadratic extensions of linearly compact fields",
1474         journal = "Trans. Amer. Math. Soc.",
1475         volume = 163,
1476         year = 1972,
1477         pages = "379--399 ", }
1478 
1479 @article{BRU-SCHRO,
1480         author = "Brungs, H. H. and Schr{\"o}der, Martin",
1481         title = "Prime segments of skew fields",
1482         journal = "Canad. J. Math.",
1483         volume = 47,
1484         number = 6,
1485         year = 1995,
1486         pages = "1148--1176",
1487         note = "MathSciNet review: 97c:16021", }
1488 
1489 @inproceedings{CHER3,
1490         author = "Cherlin, Gregory L.",
1491         title = "Undecidability of rational function fields in nonzero characteristic",
1492         booktitle = "Logic colloquium '82 (Florence, 1982)",
1493         series = "Stud. Logic Found. Math.",
1494         publisher = "North-Holland", 
1495         address = "Amsterdam-New York", 
1496         volume = 112,
1497         year = 1984,
1498         pages = "85--95",
1499         note = "MathSciNet review: 86f:03068", }
1500 
1501 @article{CLI,
1502         author = "Clifford, Alfred. H.",
1503         title = "Note on {H}ahn's theorem on ordered abelian groups",
1504         journal = "Proc. Amer. Math. Soc.",
1505         volume = 5,
1506         year = 1954,
1507         pages = "860--863",
1508         note = "MathSciNet review: 16,792b", }
1509 
1510 @article{CO,
1511         author = "Cohen, Paul J.",
1512         title = "Decision procedures for real and $p$-adic fields",
1513         journal = "Comm. Pure Appl. Math.",
1514         volume = 22,
1515         year = 1969,
1516         pages = "131--151",
1517         note = "MathSciNet review: 39 {\#}5342", }
1518 
1519 @book{COHN1,
1520         author = "Cohn, Paul Moritz",
1521         title = "Free rings and their relations",
1522         series = "London Math. Soc. Monographs",
1523         publisher = "Academic Press", 
1524         address = "London-New York",
1525         number = 2,
1526         year = 1971,
1527         note = "MathSciNet review: 51 {\#}8155", }
1528 
1529 @book{COHN2,
1530         author = "Cohn, Paul Moritz",
1531         title = "Free rings and their relations: {S}econd edition",
1532         series = "London Math. Soc. Monographs",
1533         publisher = "Academic Press", 
1534         address = "London-New York",
1535         volume = 19,
1536         year = 1985,
1537         note = "MathSciNet review: 87e:16006", }
1538 
1539 @article{CRA-WHA,
1540         author = "Crampton, T. H. M. and Whaples, G.",
1541         title = "Additive polynomials {II}",
1542         journal = "Trans. Amer. Math. Soc.",
1543         volume = 78,
1544         year = 1955,
1545         pages = "239--252",
1546         note = "MathSciNet review: 17,465c", }
1547 
1548 @article{DAH,
1549         author = "Dahn, Bernd I.",
1550         title = "The limit behaviour of exponential terms",
1551         journal = "Fund. Math.",
1552         volume = 124,
1553         number = 2,
1554         year = 1984,
1555         pages = "169--186",
1556         note = "MathSciNet review: 86f:03058", }
1557 
1558 @article{DAH-GO,
1559         author = "Dahn, Bernd I. and G{\"{o}}ring, Peter",
1560         title = "Notes on exponential-logarithmic terms",
1561         journal = "Fund. Math.",
1562         volume = 127,
1563         number = 1,
1564         year = 1987,
1565         pages = "45--50",
1566         note = "MathSciNet review: 89c:03062 ", }
1567 
1568 @article{DAH-WOL1,
1569         author = "Dahn, Bernd I. and  Wolter, Helmut",
1570         title = "On the theory of exponential fields",
1571         journal = "Z. Math. Logik Grundlag. Math.",
1572         volume = 29,
1573         number = 5,
1574         year = 1983,
1575         pages = "465--480",
1576         note = "MathSciNet review: 85a:12010", }
1577 
1578 @article{DAH-WOL2,
1579         author = "Dahn, Bernd I. and  Wolter, Helmut",
1580         title = "Ordered fields with several exponential functions",
1581         journal = "Z. Math. Logik Grundlag. Math.",
1582         volume = 30,
1583         number = 4,
1584         year = 1984,
1585         pages = "341--348",
1586         note = "MathSciNet review: 86m:03056", }
1587 
1588 @inproceedings{DEL2,
1589         author = "Delon, Fran{\c{c}}oise ",
1590         title = "Hensel fields in equal characteristic $p>0$",
1591         booktitle = "Model theory of algebra and arithmetic (Proc.
1592                  Conf., Karpacz, 1979)",
1593         series = "Lecture Notes in Math.",
1594         publisher = "Springer",
1595         address = "Berlin",
1596         volume = 834,
1597         year = 1980,
1598         pages = "108--116",
1599         note = "MathSciNet review: 82g:03058", }
1600 
1601 @article{DEL3,
1602         author = "Delon, Fran{\c{c}}oise",
1603         title = "Ind{\'e}cidabilit{\'e} de la th{\'e}orie des
1604            anneaux de s{\'e}ries formelles {\`a} plusieurs ind{\'e}termin{\'e}es",
1605         journal = "Fund. Math.",
1606         volume = 112,
1607         number = 3,
1608         year = 1981,
1609         pages = "215--229",
1610         note = "MathSciNet review: 83e:03048", }
1611 
1612 @article{DEL4,
1613         author = "Delon, Fran{\c{c}}oise",
1614         title = "Espaces ultram{\'e}triques",
1615         journal = "J. Symbolic Logic",
1616         volume = 49,
1617         number = 2,
1618         year = 1984,
1619         pages = "405--424",
1620         note = "MathSciNet review: 85i:03116 ", }
1621 
1622 @article{DEL5,
1623         author = "Delon, Fran{\c{c}}oise",
1624         title = "Corps {\'{e}}quivalents {\`{a}} leur corps de s{\'{e}}ries",
1625         journal = "M{\'e}m. Soc. Math. France (N.S.)",
1626         volume = 16,
1627         year = 1984,
1628         pages = "95--103",
1629         note = "MathSciNet review: 86k:12015", }
1630 
1631 @article{DEL6,
1632         author = "Delon, Fran{\c{c}}oise",
1633         title = "Corps et anneaux de {R}olle",
1634         journal = "Proc. Amer. Math. Soc.",
1635         volume = 97,
1636         number = 2,
1637         year = 1984,
1638         pages = "315--319",
1639         note = "MathSciNet review: 87h:12007", }
1640 
1641 @article{DEL7,
1642         author = "Delon, Fran{\c{c}}oise",
1643         title = "P{\'{e}}riodicit{\'{e}} des th{\'{e}}ories
1644           {\'{e}}l{\'{e}}mentaires des corps de s{\'e}ries formelles
1645           it{\'{e}}r{\'{e}}es",
1646         journal = "J. Symbolic Logic",
1647         volume = 51,
1648         number = 2,
1649         year = 1986,
1650         pages = "334--351",
1651         note = "MathSciNet review: 87k:03033", }
1652 
1653 @article{DEL8,
1654         author = "Delon, Fran{\c{c}}oise",
1655         title = "Extensions s{\'{e}}parees et imm{\'{e}}diates de corps valu{\'{e}}s",
1656         journal = "J. Symbolic Logic",
1657         volume = 53,
1658         number = 2,
1659         year = 1988,
1660         pages = "421--428",
1661         note = "MathSciNet review: 89f:12011", }
1662 
1663 @incollection{DEL9,
1664         author = "Delon, Fran{\c{c}}oise",
1665         title = "Model theory of Henselian valued fields",
1666         booktitle ="Logic Colloquium '87",
1667         publisher = "North--Holland Publishing Co.",
1668         series = "Stud. Logic Found. Math.",
1669         volume = 129,
1670         year = 1989,
1671         pages = "1--10",
1672         note = "MathSciNet review: 90j:12022", }
1673 
1674 @article{DEL12,
1675         author = "Delon, Fran{\c{c}}oise",
1676         title = "D{\'e}finition de l'arithm{\'e}tique dans la th{\'e}orie
1677                  des anneaux de s{\'e}ries formelles. ({F}rench)",
1678         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
1679         volume = 286,
1680         number = 2,
1681         year = 1978,
1682         pages = "A87--A89",
1683         note = "MathSciNet review: 82a:12018", }
1684 
1685 @book{DEL13,
1686         author = "Delon, Fran{\c{c}}oise",
1687         title = "Types sur ${C}({X})$. ({F}rench) ",
1688         series = "Study Group on Stable Theories (Bruno Poizat),
1689                  Second year: 1978/79 (French), Exp. No. 5",
1690         publisher = "Secr{\'e}tariat Math.",
1691         address = "Paris",
1692         year = 1981,
1693         note = "MathSciNet review: 82i:03044", }
1694 
1695 @article{DEL14,
1696         author = "Delon, Fran{\c{c}}oise",
1697         title = "Corps portant un nombre fini de valuations. ({F}rench)",
1698         journal = "J. Symbolic Logic",
1699         volume = 52,
1700         number = 4,
1701         year = 1987,
1702         pages = "994--1004",
1703         note = "MathSciNet review: 89g:03052 ", }
1704 
1705 @article{DEL15,
1706         author = "Delon, Fran{\c{c}}oise",
1707         title = "Id{\'e}aux et types sur les corps s{\'e}parablement clos. ({F}rench)",
1708         journal = " M{\'e}m. Soc. Math. France (N.S.)",
1709         volume = 33,
1710         year = 1988,
1711         note = "MathSciNet review: 90m:03067 ", }
1712 
1713 @article{DEL16,
1714         author = "Delon, Fran{\c{c}}oise",
1715         title = "Plongement dense d'un corps ordonn{\'e} dans sa cl{\^o}ture r{\'e}elle ({F}rench)",
1716         journal = "J. Symbolic Logic",
1717         volume = 56,
1718         number = 3,
1719         year = 1991,
1720         note = "MathSciNet review: 93c:12014", }
1721 
1722 @inproceedings{DEL17,
1723         author = "Delon, Fran{\c{c}}oise",
1724         title = "Rolle fields and rings", 
1725         booktitle = "Algebra and order Proc. First Int. Symp. Ordered Algebraic
1726                 Structures Luminy-Marseille, 1984", 
1727         editor = "S. Wolfenstein",
1728         pages = "155--160",
1729         publisher = "Heldermann Verlag",
1730         year = 1986,
1731         address = "Berlin", 
1732         note = "MathSciNet review: 89b:12011",  }
1733 
1734 @article{DEL-ROU,
1735         author = "Delon, Fran{\c{c}}oise and Rouani, Yamina ",
1736         title = "Ind{\'e}cidabilit{\'e} de corps de s{\'e}ries formelles",
1737         journal = "J. Symbolic Logic ",
1738         volume = 53,
1739         number = 4,
1740         year = 1988,
1741         pages = "1227--1234",
1742         note = "MathSciNet review: 90d:12006", }
1743 
1744 @article{DEN,
1745         author = "Denef, Jan",
1746         title = "The rationality of the {P}oincar{\'e} series associated to the $p$-adic points on a variety",
1747         journal = "Invent. Math.",
1748         volume = 77,
1749         number = 1,
1750         year = 1984,
1751         pages = "1--23",
1752         note = "MathSciNet review: 86c:11043", }
1753 
1754 @article{DEN-VDD,
1755         author = "Denef, Jan and van den Dries, Lou",
1756         title = "$p$-adic and real subanalytic sets",
1757         journal = "Ann. of Math. (2)",
1758         volume = 128,
1759         number = 1,
1760         year = 1988,
1761         pages = "79--138",
1762         note = "MathSciNet review: 89k:03034", }
1763 
1764 @article{DEU1,
1765         author = "Deuring, Max",
1766         title = "Verzweigungstheorie bewerteter {K}{\"o}rper",
1767         journal = "Ann. of Math.",
1768         volume = 105,
1769         year = 1931,
1770         pages = "277--307",
1771         note = "European Mathematical Society review: 003.00204", }
1772 
1773 @article{DEU2,
1774         author = "Deuring, Max",
1775         title = "Die {Z}etafunktion einer algebraischen {K}urve vom
1776            {G}eschlechte {E}ins. {II}",
1777         journal = "Nachr. Akad. Wiss. G{\"o}ttingen. Math.-Phys. Kl. IIa",
1778         pages = "13--42",
1779         year = 1955,
1780         note = "MathSciNet review: 17,17c", }
1781 
1782 @book{DEU3,
1783         author = "Deuring, Max",
1784         title = "Lectures on the theory of algebraic functions
1785            of one variable",
1786         series = "Lecture Notes in Math.",
1787         publisher = "Springer-Verlag", 
1788         address = "Berlin-New York",
1789         volume = 314,
1790         year = 1973,
1791         note = "MathSciNet review: 49 {\#}8970", }
1792 
1793 @article{DI,
1794         author = "Dickmann, Max A.",
1795         title = "Elimination of quantifiers for ordered valuation rings",
1796         journal = "J. Symbolic Logic",
1797         volume = 52,
1798         number = 1,
1799         year = 1987,
1800         pages = "116--128",
1801         note = "MathSciNet review: 88b:03045", }
1802 
1803 @article{ELL-RIB,
1804         author = "Elliot, George A. and Ribenboim, Paulo",
1805         title = "Fields of generalized power series",
1806         journal = "Arch. Math.",
1807         volume = 54,
1808         number = 4,
1809         year = 1990,
1810         pages = "365--371",
1811         note = "European Mathematical Society review: 676.13010", }
1812 
1813 @article{END1,
1814         author = "Endler, Otto",
1815         title = "{\"U}ber einen {E}xistenzsatz der {B}ewertungstheorie",
1816         journal = "Math. Ann.",
1817         volume = 150,
1818         year = 1963,
1819         pages = "54--65",
1820         note = "MathSciNet review: 26 {\#}3732", }
1821 
1822 @article{END2,
1823         author = "Endler, Otto",
1824         title = "Bewertungstheorie unter {B}enutzung einer
1825           {V}orlesung von {W}.~{K}rull",
1826         journal = "Bonner Math. Schriften",
1827         volume = 15,
1828         year = 1963,
1829         note = "MathSciNet review: PartI: 27 {\#}3633a and PartII: 27 {\#}3633b ",  }
1830 
1831 @inproceedings{END3,
1832         author = "Endler, Otto",
1833         title = "On the continuity of the roots of polynomials. ({P}ortuguese)",
1834         booktitle = "Proc. Fifth Brazilian Math. Colloq. (1965) (Portuguese)",
1835         publisher = "Conselho Nacional de Pesquisas",
1836         address = " S{\~a}o Paulo",
1837         year = 1965,
1838         pages = "59--70",
1839         note = "MathSciNet review: 34 {\#}7500 ",  }    
1840 
1841 @incollection{END4,
1842         author = "Endler, Otto",
1843         title = "Sobre corpos valorizados completos com corpos de restos perfeitos",
1844         booktitle = "T{\'o}picos de Teria dos N{\'u}meros",
1845         series= "Notas Mat.",
1846         publisher = "IMPA",
1847         address = "Rio de Janiero",
1848         pages = "121--165",
1849         volume = 35,
1850         year = 1966,  }
1851 
1852 @article{END5,
1853         author = "Endler, Otto",
1854         title = "A note on henselian valuation rings",
1855         journal = "Canad. Bull. Math.",
1856         volume = 11,
1857         year = 1968,
1858         pages = "185--189",
1859         note = "MathSciNet review: 37 {\#}6272", }
1860 
1861 @article{END6,
1862         author = "Endler, Otto",
1863         title = "Endlich separable {K}{\"o}rpererweiterungen mit
1864           vorgeschriebenen {B}ewertungsfortsetzungen {I}",
1865         journal = "Abh. Math. Sem. Univ. Hamburg",
1866         volume = 33,
1867         year = 1969,
1868         pages = "80--101",
1869         note = "MathSciNet review: 39 {\#}4124",  }
1870 
1871 @article{END13,
1872         author = "Endler, Otto",
1873         title = "On henselizations of valued fields",
1874         journal = "Bol. Soc. Brazil Mat.",
1875         volume = 4,
1876         number = 2,
1877         year = 1973,
1878         pages = "97--109",
1879         note = "MathSciNet review: 54 {\#}5203",  }
1880 
1881 @article{END7,
1882         author = "Endler, Otto",
1883         title = "{\"U}ber henselsche {E}rweiterungen bewerteter
1884            {K}{\"o}rper und die {F}ortsetzung von {B}ewertungen",
1885         journal = "J. Reine Angew. Math.",
1886         volume = "239/240",
1887         year = 1969,
1888         pages = "306--320",
1889         note = "MathSciNet review: 40 {\#}7232",  }
1890 
1891 @article{END-ENG,
1892         author = "Endler, Otto and Engler, Antonio",
1893         title = "Fields with henselian valuation rings",
1894         journal = "Math. Z.",
1895         volume = 152,
1896         number =2,
1897         year = 1977,
1898         pages = "191--193",
1899         note = "MathSciNet review: 55~{\#}318",  }
1900 
1901 @article{ENG1,
1902         author = "Engler, Antonio Jos{\'e}",
1903         title = "La cl{\^o}ture s{\'e}parable d'un corps dans son compl{\'e}t{\'e}",
1904         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
1905         volume = 283,
1906         number =13,
1907         year = 1976,
1908         pages = "A921--A922",
1909         note = "MathSciNet review: 54 {\#}10225",  }
1910 
1911 @article{ENG2,
1912         author = "Engler, Antonio Jos{\'e}",
1913         title = "Fields with two incomparable henselian
1914             valuation rings",
1915         journal = "Manuscripta Math.",
1916         volume = 23,
1917         number =4,
1918         year = "1977/78",
1919         pages = "373--385",
1920         note = "MathSciNet review: 57 {\#}3108",  }
1921 
1922 @article{ENG3,
1923         author = "Engler, Antonio Jos{\'e}",
1924         title = "The relative separable closure of a
1925            valued field in its completion",
1926         journal = "Manuscripta Math.",
1927         volume = 24,
1928         number =1,
1929         year = "1978",
1930         pages = "83--95",
1931         note = "MathSciNet review: 57 {\#}16272 ",  }
1932 
1933 @article{ER6,
1934         author = "Ershov, Yuri L.",
1935         title = "Fields with solvable theory",
1936         journal = "Dokl. Akad. Nauk. SSSR",
1937         volume = 174,
1938         year = 1967,
1939         pages = "19--20",
1940         note = "[English translation: Sov. Math. Dokl. vol.8 (1967), 575-576,
1941                  European Mathematical Society review: 153.37201]",  }
1942 
1943 @article{ER8,
1944         author = "Ershov, Yuri L.",
1945         title = "Multiply valued fields",
1946         journal = "Dokl. Akad. Nauk. SSSR",
1947         volume = 253,
1948         number = 2,
1949         year = 1980,
1950         pages = "274--277",
1951         note = "[English translation: Sov. Math. Dokl. vol.22 (1980), 63-66,
1952                  MathSciNet review: 81m:03044]",  }
1953 
1954 @article{ER9,
1955         author = "Ershov, Yuri L.",
1956         title = "Multiply valued fields",
1957         journal = "Russian Math. Surveys",
1958         volume = 37,
1959         year = 1982,
1960         pages = "63--107",  }
1961 
1962 @article{FE-SCHRO,
1963         author = "Fest, Markus and Schr{\"o}der, Martin ",
1964         title = "Ein nichtkommutativer konvexer {B}ewertungsring ohne
1965            kofinalen {S}chiefk{\"o}rper",
1966         journal = "Arch. Math. (Basel)",
1967         volume = 53,
1968         number = 2,
1969         year = 1989,
1970         pages = "141--145",
1971         note = "MathSciNet review: 90m:12013",  }
1972 
1973 @article{FL1,
1974         author = "Fleischer, Isidore ",
1975         title = "Maximality and ultracompleteness in normed modules",
1976         journal = "Proc. Amer. Math. Soc.",
1977         volume = 9,
1978         year = 1958,
1979         pages = "151--157",
1980         note = "MathSciNet review: 20 {\#}216",  }
1981 
1982 @article{FL2,
1983         author = "Fleischer, Isidore ",
1984         title = "On {H}ill and {M}ott. {T}rans. {A}mer. {M}ath. {S}oc. 175(1973), 283-297. {MR} 47, 102 ",
1985         journal = "Trans. Amer. Math. Soc.",
1986         volume = 231,
1987         year = 1977,
1988         pages = "273--274",
1989         note = "European Mathematical Society review: 366.06031",  }
1990 
1991 @book{FR-JA,
1992         author = "Fried, Michael D. and Jarden, Moshe",
1993         title = "Field Arithmetic",
1994         series = "Ergeb. Math. Grenzgeb. (3)",
1995         publisher = "Springer Verlag",
1996         address = "Berlin-New York",
1997         volume = 11,
1998         year = 1986,
1999         note = "MathSciNet review: 89b:12010",  }
2000 
2001 @book{FU1,
2002         author = "Fuchs,  L{\'a}szl{\'o}",
2003         title = "Partially ordered algebraic systems",
2004         publisher = "Pergamon Press",
2005         address = "Oxford-London-New York-Paris",
2006         year = 1963,
2007         note = "MathSciNet review: 30~{\#}2090",  }
2008 
2009 @article{FU2,
2010         author = "Fuchs,  L{\'a}szl{\'o}",
2011         title = "Vector spaces and valuations",
2012         journal = "J. Algebra",
2013         volume = 35,
2014         year = 1975,
2015         pages = "23--38",
2016         note = "MathSciNet review: 51 {\#}8212",  }
2017 
2018 @inproceedings{FU3,
2019         author = "Fuchs,  L{\'a}szl{\'o}",
2020         title = "Subfree valued vector spaces",
2021         booktitle = "Abelian group theory, Proc. Second New Mexico
2022                  State Univ. Conf 1976",
2023         series = "Lecture Notes in Math.",
2024         volume = 616,
2025         year = 1977,
2026         pages = "158--167",
2027         note = "MathSciNet review: 58 {\#}854",  }
2028 
2029 @article{GENT,
2030         author = "Gentile, Enzo R.",
2031         title = "On rings with one-sided field of quotients",
2032         journal = "Proc. Amer. Math. Soc.",
2033         volume = 11,
2034         year = 1960,
2035         pages = "380--384",
2036         note = "MathSciNet review: 23~{\#}A187",  }
2037 
2038 @article{GRA1,
2039         author = "Gravett, Kenneth Albert Henry",
2040         title = "Valued linear spaces",
2041         journal = "Quart. J. Math. Oxford Ser. (2)",
2042         volume = 6,
2043         year = 1955,
2044         pages = "309--315",
2045         note = "MathSciNet review: 19,385b",  } 
2046 
2047 @article{GRA2,
2048         author = "Gravett, Kenneth Albert Henry",
2049         title = "Ordered abelian groups",
2050         journal = "Quart. J. Math. Oxford Ser. (2)",
2051         volume = 7,
2052         year = 1956,
2053         pages = "57--63",
2054         note = "MathSciNet review: 19,1037g",  }
2055 
2056 @article{GRE,
2057         author = "Green, Barry",
2058         title = "On the immediate extensions of a valued field.
2059            {C}lassical and categorical algebra",
2060         journal = " Quaestiones Math.",
2061         volume = 9,
2062         number = "1-4",
2063         year = 1986,
2064         pages = "227--244",
2065         note = "MathSciNet review: 88d:12010",  }
2066 
2067 @book{GRB2,
2068         author = "Greenberg, Marvin J.",
2069         title = "Lectures on forms in many variables",
2070         publisher = "W.A. Benjamin Inc.",
2071         address = "New York-Amsterdam",
2072         year = 1969,
2073         note = "MathSciNet review: 39 {\#}2698",  }
2074 
2075 @article{GRI1,
2076         author = "Griffin, Malcolm",
2077         title = "Some results on $v$-multiplication rings",
2078         journal = "Canad. J. Math.",
2079         volume = 19,
2080         year = 1967,
2081         pages = "710--722",
2082         note = "MathSciNet review: 35 {\#}6665",  }
2083 
2084 @article{GRI2,
2085         author = "Griffin, Malcolm",
2086         title = "Families of finite character and essential valuations",
2087         journal = "Trans. Amer. Math. Soc.",
2088         volume = 130,
2089         year = 1968,
2090         pages = "75--85",
2091         note = "MathSciNet review: 36 {\#}1423",  }
2092 
2093 @article{GRI3,
2094         author = "Griffin, Malcolm",
2095         title = "Rings of {K}rull type",
2096         journal = "J. Reine Angew. Math.",
2097         volume = 229,
2098         year = 1968,
2099         pages = "1--27",
2100         note = "MathSciNet review: 36 {\#}3778",  }
2101 
2102 @article{GRU1,
2103         author = "Gruson, Laurent",
2104         title = "Cat{\'e}gories d'espaces de {B}anach ultram{\'e}triques",
2105         journal = "Bull. Soc. Math. France",
2106         volume = 94,
2107         year = 1966,
2108         pages = "287--299",
2109         note = "MathSciNet review: 36~{\#}1957",  }
2110 
2111 @inbook{HAHN,
2112         author = "Hahn, Hans",
2113         title = "{\"U}ber die nichtarchimedischen
2114            {G}r{\"o}{\ss}ensysteme",
2115         publisher = "S.-B. Akad. Wiss. Wien", 
2116         series = "Math.-Naturw. Kl. Abt. IIa",
2117         volume = 116,
2118         year = 1907,
2119         pages = "601--655",  }
2120 
2121 @book{HAS1,
2122         author = "Hasse, Helmut",
2123         title = "Number Theory",
2124         series = "Grundlehren Math. Wiss.",
2125         publisher = "Springer",
2126         address = "Berlin",
2127         volume = 229,
2128         year = 1980,
2129         note = "MathSciNet review: 81c:12001b", }
2130 
2131 @article{HAS-SCHDT1,
2132         author = "Hasse, Helmut and Schmidt, Frank K.",
2133         title = "Noch eine {B}egr{\"u}ndung der {T}heorie der
2134            h{\"o}heren {D}ifferentialquotienten in einem algebraischen 
2135                 {F}unktionenk{\"o}rper eine {U}bestimmten",
2136         journal = "J. Reine Angew. Math.",
2137         volume = 177,
2138         year = 1937,
2139         pages = "215--237",  }
2140 
2141 @article{HE1,
2142         author = "Hensel, Kurt",
2143         title = "{\"U}ber eine neue {B}egr{\"u}ndung der 
2144          {T}heorie der algebraischen {Z}ahlen",
2145         journal = "Jber. Deutsch. Math.-Verein. ",
2146         volume = 6,
2147         year = 1899,
2148         pages = "83--88",  }
2149 
2150 @article{HE2,
2151         author = "Hensel, Kurt",
2152         title = "{\"U}ber die {E}ntwicklung der algebraischen
2153            {Z}ahlen in {P}otenzreihen",
2154         journal = "Math. Ann.",
2155         volume =55,
2156         year = 1902,
2157         pages = "301--336",  }
2158 
2159 @incollection{HE3,
2160         author = "Hensel, Kurt",
2161         title = "{\"U}ber analytische {F}unktionen und
2162            algebraische {Z}ahlen",
2163         publisher= "Berliner Mathematische Gesellschaft",
2164         booktitle = "Sitzungsberichte",
2165         volume =1,
2166         year = 1902,
2167         pages = "29--32",  }
2168 
2169 @article{HE4,
2170         author = "Hensel, Kurt",
2171         title = "Neue {G}rundlagen der {A}rithmetik",
2172         journal = "J. Reine Angew. Math.",
2173         volume =127,
2174         year = 1904,
2175         pages = "51--84",  }
2176 
2177 @article{HE5,
2178         author = "Hensel, Kurt",
2179         title = "{\"U}ber eine neue {Beg}r{\"u}ndung der {T}heorie der
2180             algebraischen {Z}ahlen",
2181         journal = "J. Reine Angew. Math.",
2182         volume =128,
2183         year = 1905,
2184         pages = "1--32",  }
2185 
2186 @article{HE6,
2187         author = "Hensel, Kurt",
2188         title = "{\"U}ber die arithmetischen {E}igenschaften der
2189             algebraischen und transzendenten {Z}ahlen",
2190         journal = "Jber. Deutsch. Math.-Verein.",
2191         volume =14,
2192         year = 1905,
2193         pages = "545--558",  }
2194 
2195 @article{HE7,
2196         author = "Hensel, Kurt",
2197         title = "{\"U}ber die arithmetischen {E}igenschaften
2198            der {Z}ahlen",
2199         journal = "Jber. Deutsch. Math.-Verein.",
2200         volume =16,
2201         year = 1907,
2202         pages = "299--319",  }
2203 
2204 @book{HE8,
2205         author = "Hensel, Kurt",
2206         title = "Theorie der algebraischen Zahlen",
2207         publisher = "Tuebner",
2208         address = "Leipzig",
2209         year = 1908,  } 
2210 
2211 
2212 @article{HE9,
2213         author = "Hensel, Kurt",
2214         title = "{\"{U}}ber die zu einer algebraischen {G}leichung
2215                  geh{\"o}rigen Aufl{\"o}sungsk{\"o}rper",
2216         journal = "J. Reine Angew. Math.",
2217         volume = 136,
2218         year = 1909,
2219         pages = "183--209",  }
2220 
2221 @book{HE10,
2222         author = "Hensel, Kurt",
2223         title = " Zahlentheorie",
2224         publisher = "G{\"o}schen",
2225         address = "Berlin-Leipzig",
2226         year = 1913,  } 
2227 
2228 @article{HEI-PR,
2229         author = "Heinemann, Bernhard. and Prestel, Alexander",
2230         title = " Fields regularly closed with respect to finitely many valuations and orderings",
2231         journal = "CMS Conf. Proc.",
2232         volume =4,
2233         year = 1984,
2234         pages = "297--336", 
2235         note = "MathSciNet review: 86g:12012", }
2236 
2237 @article{HEN-RUB,
2238         author = "Henson, C. Ward and Rubel, Lee A.",
2239         title = " Some applications of {N}evanlinna {T}heory
2240            to mathematical logic: identities of exponential
2241            functions",
2242         journal = "Trans. Amer. Math. Soc.",
2243         volume =282,
2244         number = 1,
2245         year = 1984,
2246         pages = "1--32", 
2247         note = "MathSciNet review: 85h:03015", }
2248 
2249 @book{HILB,
2250         author = "Hilbert, David",
2251         title = "  Grundlagen der Geometrie",
2252         publisher = "Teubner Verlagsgesellschaft",
2253         address = "Stuttgart",
2254         edition = "9th",
2255         year = 1962,
2256         note = "MathSciNet review: 31~{\#}1585", }
2257 
2258 @inproceedings{HI1,
2259         author = "Hill, Paul",
2260         title = "Criteria for freeness in groups and valuated
2261            vector spaces",
2262         booktitle = "Abelian group theory (Proc. Second New Mexico State Univ.
2263                  Conf., Las Cruces, N.M., 1976)",
2264         series = "Lecture Notes in Math.",
2265         publisher = "Springer", 
2266         address = "Berlin",
2267         volume = 616,
2268         year = 1977,
2269         pages = "140--157", 
2270         note = "MathSciNet review: 58 {\#}5978", }
2271         
2272 @article{HI2,
2273         author = "Hill, Paul",
2274         title = "An isomorphism theorem for valuated vector
2275             spaces",
2276         journal = "Proc. Amer. Math. Soc.",
2277         volume = 88,
2278         number = 4,
2279         year = 1983,
2280         pages = "587--590", 
2281         note = "MathSciNet review: 85a:18008", }
2282         
2283 @article{HI-ME,
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2285         title = "On the {T}heory and {C}lassification of {A}belian $p$-groups",
2286         journal = "Math. Z.",
2287         volume = 190,
2288         number = 1,
2289         year = 1985,
2290         pages = "17--38", 
2291         note = "MathSciNet review: 86k:20049", }
2292 
2293 @article{HI-MO,
2294         author = "Hill, Paul and Mott, Joe L.",
2295         title = "Embedding theorems and generalized discrete ordered abelian groups",
2296         journal = "Trans. Amer. Math. Soc.",
2297         volume = 175,
2298         year = 1973,
2299         pages = "238--297", 
2300         note = "MathSciNet review: 47 {\#}102", }
2301                         
2302 @article{HI-WH,
2303         author = "Hill, Paul and White, Errin ",
2304         title = "The projective dimension of
2305            valuated vector spaces",
2306         journal = "J. Algebra",
2307         volume = 74,
2308         number = 2,
2309         year = 1982,
2310         pages = "374--401", 
2311         note = "MathSciNet review: 84d:18014", }
2312 
2313 @inbook{HOL,
2314         author = "H{\"o}lder, Otto ",
2315         title = "Die {A}xiome der {Q}uantit{\"a}t und die {L}ehre vom {M}a{\ss}",
2316         publisher = "Ber. Verh. Kgl. s{\"a}chs. Ges. Wiss. Leipzig", 
2317         series = "Math.-Phys. Kl.",
2318         volume = 53,
2319         year = 1901,
2320         pages = "{\mbox{1-64}}",  }
2321 
2322 @inproceedings{HU-WA,
2323         author = "Hunter, Roger and Walker, Elbert",
2324         title = "Valuated $p$-groups",
2325         booktitle = "Abelian groups theory, Proc. Oberwolfach 1981",
2326         series = "Lecture Notes in Math.",
2327         publisher = "Springer",
2328         editor = "R. G{\"o}bel, E.A. Walker",
2329         volume = 874,
2330         year = 1981,
2331         pages = "350--373", 
2332         note = "MathSciNet review: 83h:20051", } 
2333 
2334 @article{ING,
2335         author = "Ingleton, Aubrey William",
2336         title = "The {H}ahn--{B}anach {T}heorem for nonarchimedean-valued fields",
2337         journal = "Cambridge Philos. Soc. Proc.",
2338         volume = 48,
2339         year = 1952,
2340         pages = "41--45",  }
2341 
2342 @book{IVER,
2343         author = "Iversen, Birger",
2344         title = "Generic local structure of the morphisms
2345            in commutative algebra",
2346         series = "Lecture Notes in Math.",
2347         volume = 310,
2348         year = 1973,
2349         publisher = "Sringer-Verlag", 
2350         address = "Berlin-New York",
2351         note = "MathSciNet review: 50 {\#}13023", } 
2352 
2353 @book{JE-LE,
2354         author = "Jensen, Christian U. and Lenzing, Helmut",
2355         title = " Model {T}heoretic {A}lgebra with particular emphasis on fields, rings, modules",
2356         series = "Algebra Logic Appl.",
2357         publisher = "Gordon and Breach",
2358         address = "New York",
2359         volume = 2,
2360         year = 1989,
2361         note = "MathSciNet review: 91m:03038", } 
2362 
2363 @article{KAP3,
2364         author = "Kaplansky, Irving",
2365         title = " Topological methods in valuation theory",
2366         journal = "Duke Math. J.",
2367         volume = 14,
2368         year = 1947,
2369         pages = "527--541", 
2370         note = "MathSciNet review: 9,172f", }
2371 
2372 @article{KAP-SCHI1,
2373         author = "Kaplansky, Irving and  Schilling, Otto Franz Georg",
2374         title = " Some remarks on relatively complete fields",
2375         journal = "Bull. Amer. Math. Soc.",
2376         volume = 48,
2377         year = 1942,
2378         pages = "744--747", 
2379         note = "MathSciNet review: 4,71g", }
2380 
2381 @article{KH,
2382         author = "Khanduja, Sudesh K.",
2383         title = " A note on a result of {J}ames {A}x",
2384         journal = "J. Algebra",
2385         volume = 140,
2386         number = 2,
2387         year = 1991,
2388         pages = "360--361", 
2389         note = "MathSciNet review: 92j:12012", }
2390 
2391 @article{KHA,
2392         author = "Khanduja, Sudesh K.",
2393         title = "On a result of {J}ames {A}x",
2394         journal = "J. Algebra",
2395         volume = 172,
2396         number = 1,
2397         year = 1995, }
2398 
2399 @article{KN1,
2400         author = "Knebusch, Manfred ",
2401         title = "On the uniqueness of real closures and
2402           the existence of real places",
2403         journal = "Comment. Math. Helv.",
2404         volume = 47,
2405         year = 1972,
2406         pages = "260--269", 
2407         note = "MathSciNet review: 47 {\#}4977", }
2408 
2409 @article{KN2,
2410         author = "Knebusch, Manfred ",
2411         title = "On the extension of real places",
2412         journal = "Comment. Math. Helv.",
2413         volume = 48,
2414         year = 1973,
2415         pages = "354--369", 
2416         note = "MathSciNet review: 49 {\#}2681", }
2417 
2418 @article{KN-WR,
2419         author = "Knebusch, Manfred and Wright, Michael J.",
2420         title = "Bewertungen mit reeller {H}enselisierung",
2421         journal = "J. Reine Angew. Math.",
2422         volume = "286/287",
2423         year = 1976,
2424         pages = "314--321", 
2425         note = "MathSciNet review: 54 {\#}7440", }
2426 
2427 @book{KOB,
2428         author = "Koblitz, Neal",
2429         title = "$p$-adic numbers, $p$-adic analysis,
2430            and {Z}eta--{F}unctions",
2431         series = "Graduate Texts in Math.",
2432         publisher = "Sringer-Verlag",
2433         address = "Berlin-New York",
2434         volume = "58",
2435         year = 1977,
2436         note = "MathSciNet review: 57~{\#}5964", }
2437 
2438 
2439 @article{KOC1,
2440         author = "Kochen, Simon ",
2441         title = "Integer valued rational functions over the
2442           $p$-adic numbers: {A} $p$-adic analogue of the theory of real fields",
2443         journal = "Proc. Sympos. Pure Math.",
2444         volume = 12,
2445         year = 1967,
2446         pages = "57--73 ", 
2447         note = "MathSciNet review: 41 {\#}1685", }
2448 
2449 @inproceedings{KOC2,
2450         author = "Kochen, Simon ",
2451         title = " The {M}odel {T}heory of {L}ocal {F}ields",
2452         booktitle = "Logic Conference Kiel",
2453         series = "Lecture Notes in Math.",
2454         volume = 499,
2455         year = 1975,
2456         pages = "384--425 ", 
2457         note = "MathSciNet review: 58 {\#}27918", }
2458 
2459 @article{KO1,
2460         author = "Koenigsmann, Jochen ",
2461         title = " From $p$-rigid elements to valuations 
2462            (with a {G}alois-characterization of $p$-adic fields)",
2463         journal = "J. Reine Angew. Math.",
2464         volume = 465,
2465         year = 1995,
2466         pages = "165--182 ", 
2467         note = "MathSciNet review: 96m:12003", }
2468 
2469 @article{KO2,
2470         author = "Koenigsmann, Jochen ",
2471         title = " $p$-{H}enselian {F}ields",
2472         journal = "Manuscripta Math.",
2473         volume = 87,
2474         number = 1,
2475         year = 1995,
2476         pages = "89--99 ", 
2477         note = "MathSciNet review: 96c:12010 ", }
2478 
2479 @incollection{KRU1,
2480         author = "Krull, Wolfgang",
2481         title = "Primidealketten in allgemeinen
2482            {R}ingbereichen",
2483         publisher = "Heidelberger Akad. Wiss.",
2484         series = "Math.-Natur. Kl.",
2485         booktitle = "Sitzungsberichte",
2486         year = 1928,
2487         volume = 7,  }
2488 
2489 @article{KRU3,
2490         author = "Krull, Wolfgang",
2491         title = "Idealtheorie in unendlichen
2492            algebraischen {Z}ahlk{\"o}rpern {II}",
2493         journal = "Math. Z.",
2494         year = 1930,
2495         volume = 30,
2496         pages = "527--557",  }
2497 
2498 @article{KRU4,
2499         author = "Krull, Wolfgang",
2500         title = " Ein {S}atz {\"u}ber prim{\"a}re
2501           {I}ntegrit{\"a}tsbereich",
2502         journal = "Math.Ann.",
2503         year = 1930,
2504         volume = 103,
2505         pages = "450--465",  }
2506 
2507 @article{KRU5,
2508         author = "Krull, Wolfgang",
2509         title = "{\"U}ber die {Z}erlegung der {H}auptideale in
2510            allgemeinen {R}ingen",
2511         journal = "Math.Ann.",
2512         year = 1931,
2513         volume = 105,
2514         pages = "1--14",  }
2515 
2516 @incollection{KRU6,
2517         author = "Krull, Wolfgang",
2518         title = "Galoissche {T}heorie bewerteter {K}{\"o}rper",
2519         publisher = "Akad. Wiss. M{\"u}nchen", 
2520         booktitle = "Sitzungsberichte",
2521         year = 1931,
2522         volume = 105,
2523         pages = "1--14",  }
2524 
2525 @book{KRU8,
2526         author = "Krull, Wolfgang",
2527         title = "Idealtheorie ",
2528         series= "Ergeb. Math. Grenzgeb.",
2529         publisher = "Springer",
2530         address = "Berlin",
2531         year = 1935,
2532         volume = 4, }
2533 
2534 @article{KRU9,
2535         author = "Krull, Wolfgang",
2536         title = "{\"U}ber unendliche algebraische
2537           {E}rweiterungen bewerteter {K}{\"o}rper ",
2538         journal = "Rend. Circ. Mat. Palermo (2)",
2539         year = 1952,
2540         volume = 1,
2541         pages = "164--169",
2542         note = "MathSciNet review: 14,840e", }
2543 
2544 @article{KRU10,
2545         author = "Krull, Wolfgang",
2546         title = "Charakterentopologie, {I}somorphismentopologie
2547            und {B}ewertungstopologie ",
2548         journal = "Mem. Mat. Inst. ``Jorge Juan''",
2549         year = 1955,
2550         volume = 16,
2551         note = "MathSciNet review: 18,11b", }
2552 
2553 @incollection{KRU11,
2554         author = "Krull, Wolfgang",
2555         title = "Zur {T}heorie der {B}ewertungen mit
2556            nichtarchimedisch geordneter {W}ertegruppe und 
2557            der nichtarchimedisch geordneten {K}{\"o}rper",
2558         booktitle = "Colloque d'alg{\`e}bre supérieure, tenu {\`a}
2559                 Bruxelles du 19 au 22 d{\'e}cembre 1956",
2560         publisher ="Centre Belge de Recherches Math{\'e}matiques 
2561                 {\'{E}}tablissements Ceuterick, Louvain; Librairie
2562                 Gauthier-Villars, Paris      ",
2563         address = "Bruxelles",
2564         year = 1956,
2565         pages = "45--77",
2566         note = "MathSciNet review: 21~{\#}4951", }
2567 
2568 @article{KRU12,
2569         author = "Krull, Wolfgang",
2570         title = "{\"U}ber einen {E}xistenzsatz der
2571            {B}ewertungstheorie",
2572         journal = "Abh. Math. Sem. Univ. Hamburg",
2573         year = 1959,
2574         volume = 23,
2575         pages = "45--77",
2576         note = "MathSciNet review: 21 {\#}3406", }
2577 
2578 @article{KRU13,
2579         author = "Krull, Wolfgang",
2580         title = "Ordnungsfunktionen und {B}ewertungen von
2581            {K}{\"o}rpern",
2582         journal = "Math. Z.",
2583         year = 1961,
2584         volume = 77,
2585         pages = "135--148",
2586         note = "MathSciNet review: 25~{\#}2137", }
2587 
2588 @article{KRU14,
2589         author = "Krull, Wolfgang",
2590         title = "Eine {B}emerkung zur {B}ewertungstheorie",
2591         journal = "An. Acad. Brasil. Ci{\^e}nc.",
2592         year = 1963,
2593         volume = 35,
2594         pages = "475--481",
2595         note = "MathSciNet review: 30~{\#}1126", }
2596 
2597 
2598 @article{KU3,
2599         author = "Kuhlmann, Franz-Viktor",
2600         title = "Quantifier elimination for henselian
2601            fields relative to additive and multiplicative congruences",
2602         journal = "Israel J. Math.",
2603         year = 1994,
2604         volume = 85,
2605         number = "1-3",
2606         pages = "277--306",
2607         note = "MathSciNet review: 95d:12012", }
2608 
2609 @article{KU-KUS1,
2610         author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma",
2611         title = "On the structure of nonarchimedean exponential fields {II}",
2612         journal = "Comm. Algebra",
2613         year = 1994,
2614         volume = 22,
2615         number = 12,
2616         pages = "5079--5103",
2617         note = "MathSciNet review: 96h:12009", }
2618 
2619 @phdthesis{KUS2,
2620         author = "Kuhlmann, Salma",
2621         title = "Quelques propri{\'e}t{\'e}s des espaces
2622                  vectoriels valu{\'e}s en th{\'e}orie des mod{\`e}les",
2623         school = "Universit{\'e} Paris {VII}",
2624         year = 1991,  }
2625 
2626 @article{KUS3,
2627         author = "Kuhlmann, Salma",
2628         title = "On the structure of nonarchimedean
2629            exponential fields {I}",
2630         journal = "Arch. Math. Logic",
2631         year = 1995,
2632         volume = 34,
2633         number = 3,
2634         pages = "145--182",
2635         note = "MathSciNet review: 96g:12008", }
2636         
2637 @article{KUR1,
2638         author = "K{\"u}rsch{\'a}k, Jozsef",
2639         title = "{\"U}ber {L}imesbildung und allgemeine
2640             {K}{\"o}rpertheorie",
2641         journal = "J.~Reine Angew. Math.",
2642         year = 1913,
2643         volume = 142,
2644         pages = "211--253", }
2645 
2646 @article{LAF,
2647         author = "Lafon, Jean-Pierre ",
2648         title = "Anneaux hens{\'e}liens",
2649         journal = "Bull. Soc. Math. France",
2650         year = 1963,
2651         volume = 91,
2652         pages = "77--107",
2653         note = "MathSciNet review: 27 {\#}174", }
2654 
2655 @incollection{LAM1,
2656         author = "Lam, Tsit Yuen  ",
2657         title = "The theory of ordered fields",
2658         booktitle = "Ring Theory and Algebra {III}",
2659         editor = "B. McDonald",
2660         series = "Lecture Notes in Pure and Appl. Math.",
2661         publisher = "Dekker",
2662         address = "New York",
2663         year = 1980,
2664         volume = 55,
2665         pages = "1--152",
2666         note = "MathSciNet review: 82e:12033 ", }
2667 
2668 
2669 @book{LAM2,
2670         author = "Lam, Tsit Yuen  ",
2671         title = "Orderings, valuations and quadratic forms",
2672         series = "CBMS Regional Conf. Ser. in Math.",
2673         publisher = "Amer. Math. Soc.",
2674         address = "Providence, RI",
2675         year = 1983,
2676         volume = 52,
2677         note = "MathSciNet review: 85e:11024", }
2678 
2679 @article{LANG1,
2680         author = "Lang, Serge ",
2681         title = "On quasi algebraic closure",
2682         journal = "Ann. of Math. (2)",
2683         year = 1952,
2684         volume = 55,
2685         pages = "{\mbox{373-390}}",
2686         note = "MathSciNet review: 13,726d ", }
2687 
2688 @article{LANG2,
2689         author = "Lang, Serge ",
2690         title = "The theory of real places",
2691         journal = "Ann. of Math. (2)",
2692         year = 1953,
2693         volume = 57,
2694         pages = "{\mbox{378-391}}",
2695         note = "MathSciNet review: 14,841b", }
2696 
2697 @book{LEF,
2698         author = "Lefschetz, Solomon ",
2699         title = "Algebraic geometry",
2700         publisher = "Princeton University Press",
2701         year = 1953,
2702         address = "Princeton, N.J.",
2703         note = "MathSciNet review: 15,150h", }
2704 
2705 @book{LOR1,
2706         author = "Lorenz, Falko",
2707         title = "Einf{\"u}hrung in die {A}lgebra, {T}eil {I}",
2708         publisher = "Bibliographisches Institut", 
2709         address = "Mannheim ",
2710         year = 1987,
2711         note = "MathSciNet review: 89j:12001 ", }
2712 
2713 @book{LOR2,
2714         author = "Lorenz, Falko",
2715         title = "Einf{\"u}hrung in die {A}lgebra, {T}eil {II}",
2716         publisher = "Bibliographisches Institut" ,
2717         address = "Mannheim ",
2718         year = 1990,
2719         note = "MathSciNet review: 92j:00006", }
2720 
2721 @phdthesis{MAC1,
2722         author = "Macintyre, Angus",
2723         title = "Classifying pairs of real closed fields",
2724         school = "Standford",
2725         year = 1968,  }
2726 
2727 @article{MAC2,
2728         author = "Macintyre, Angus",
2729         title = "On definable subsets of $p$--adic numbers",
2730         journal = "J. Symbolic Logic",
2731         year = 1976,
2732         volume = 41,
2733         number = 3,
2734         pages = "605--610",
2735         note = "MathSciNet review: 58 {\#}5182 ", }
2736 
2737 @incollection{MAC3,
2738         author = "Macintyre, Angus",
2739         title = "Model--completeness",
2740         booktitle = " Handbook of Mathematical Logic",
2741         publisher = "North-Holland ",
2742         editor = "Jon Barwise",
2743         year = 1977,
2744         address = "Amsterdam-New York-Oxford",
2745         pages = "139--180", }
2746 
2747 @inproceedings{MAC4,
2748         author = "Macintyre, Angus",
2749         title = "The laws of exponentiation",
2750         series = "Lecture Notes in Math.",
2751         booktitle = "Proc. Paris 1979/80",
2752         publisher = "Springer",
2753         year = 1981,
2754         volume = 890,
2755         pages = "185--197",
2756         note = "MathSciNet review: 83f:03037 ", }
2757 
2758 @inproceedings{MAC5,
2759         author = "Macintyre, Angus",
2760         title = "Twenty {Y}ears of $p$--adic {M}odel {T}heory",
2761         series = "Stud. Logic Found. Math.",
2762         booktitle = "Logic Colloquium 1984",
2763         address = "Amsterdam-New York",
2764         publisher = "Norht-Holland",
2765         year = 1986,
2766         volume = 120,
2767         pages = "121--153",
2768         note = "MathSciNet review: 88b:03053 ", }
2769 
2770 @article{MAC-MKE-VDD,
2771         author = "Macintyre, Angus and McKenna, Kenneth and van den Dries, Lou",
2772         title = "Elimination of quantifiers in algebraic structures",
2773         journal = "Adv. Math.",
2774         year = 1983,
2775         volume = 47,
2776         number = 1,
2777         pages = "74--87",
2778         note = "MathSciNet review: 84f:03028 ", }
2779 
2780 @article{MAT2,
2781         author = "Matignon, Michel",
2782         title = "Genre et genre r{\'e}siduel des corps de
2783             fonctions valu{\'e}s",
2784         journal = "Manuscripta Math.",
2785         year = 1987,
2786         volume = 58,
2787         number = "1-2",
2788         pages = "179--214",
2789         note = "MathSciNet review: 89a:11063 ", }
2790 
2791 @article{MCK-WHA,
2792         author = "MacKenzie, R. E. and Whaples, George",
2793         title = "Artin-{S}chreier equations in characteristic zero",
2794         journal = "Amer. J. Math.",
2795         year = 1956,
2796         volume = 78,
2797         pages = "473--485",
2798         note = "MathSciNet review: 19,834c", }
2799 
2800 @article{MIL1,
2801         author = "Miller, Chris",
2802         title = "Exponentiation is hard to avoid",
2803         journal = "Proc. Amer. Math. Soc.",
2804         year = 1994,
2805         volume = 122,
2806         number = 1,
2807         pages = "257--259",
2808         note = "MathSciNet review: 94k:03042 ", }
2809 
2810 @article{MIL2,
2811         author = "Miller, Chris",
2812         title = "A growth dichotomy for o-minimal expansions of ordered fields",
2813         journal = "Oxford Sci. Publ.",
2814         year = 1996,
2815         pages = "385--399",
2816         note = "MathSciNet review: 98a:03052 ", }
2817 
2818 @article{MIN-RIC1,
2819         author = "Mines, Ray and Richman, Fred ",
2820         title = "Valuation theory: {A} constructive view",
2821         journal = "J. Number Theory",
2822         year = 1984,
2823         volume = 19,
2824         number = 1,
2825         pages = "40--62",
2826         note = "MathSciNet review: 85j:03109", }
2827 
2828 @article{MIN-RIC2,
2829         author = "Mines, Ray and Richman, Fred ",
2830         title = "Archimedean valuations",
2831         journal = "J. London Math. Soc. (2)",
2832         year = 1986,
2833         volume = 34,
2834         number = 3,
2835         pages = "403--410",
2836         note = "MathSciNet review: 88d:03114", }
2837 
2838 @book{MON1,
2839         author = "Monna, Antoine Frans",
2840         title = "Analyse non-{A}rchim{\'e}dienne",
2841         series = "Ergeb. Math. Grenzgeb.",
2842         publisher = "Sringer-Verlag",
2843         address = "Berlin-New York",
2844         year = 1970,
2845         volume = 56,
2846         note = "MathSciNet review: 45 {\#}4101", }
2847 
2848 @phdthesis{MOU,
2849         author = "Mourgues, Marie H{\'e}l{\`e}n",
2850         title = "Applications des corps de s{\'e}ries
2851            formelles {\`a} l'{\'e}tude des corps r{\'e}els clos et
2852            des corps exponentiels",
2853         school = " Paris",
2854         year = 1993,  }
2855 
2856 @article{MOU-RES,
2857         author = "Mourgues, Marie H{\'e}l{\`e}n and Ressayre, Jean-Pierre",
2858         title = "Every real closed field has an integer part",
2859         journal = "J. Symbolic Logic",
2860         year = 1993,
2861         volume = 58,
2862         number = 2,
2863         pages = "641--647",
2864         note = "MathSciNet review: 95e:03108", }
2865 
2866 @article{NAG1,
2867         author = "Nagata, Masayoshi",
2868         title = "On the theory of henselian rings {I}",
2869         journal = "Nagoya Math. J.",
2870         year = 1953,
2871         volume = 5,
2872         pages = "45--57",
2873         note = "MathSciNet review: 14,529j", }
2874 
2875 @book{NAG2,
2876         author = "Nagata, Masayoshi",
2877         title = "Local Rings",
2878         series = "Interscience Tracts in Pure and Applied Mathematics",
2879         publisher = "Interscience Publishers",
2880         address = "New York-London",
2881         year = 1962,  }
2882 
2883 @article{NAG4,
2884         author = "Nagata, Masayoshi",
2885         title = "Some remarks on ordered fields",
2886         journal = "Japan J. Math.~(N.S.)",
2887         year = "1975/76",
2888         volume = 1,
2889         number = 1,
2890         pages = "1--4",
2891         note = "MathSciNet review: 52 {\#}13772", }
2892 
2893 @book{NAG5,
2894         author = "Nagata, Masayoshi",
2895         title = "Some remarks on ordered fields",
2896         publisher = "Secr{\'e}tariat Math.",
2897         series = "S{\'e}minaire P. Dubreil, F. Aribaud et M.-P. Malliavin
2898                  (28e ann{\'e}e: 1974/75), Alg{\`e}bre, Exp. No. 26",
2899         address = "Paris",
2900         year = 1975,
2901         note = "MathSciNet review:  53 {\#}379",   }
2902 
2903 @article{NAG6,
2904         author = "Nagata, Masayoshi",
2905         title = "A generalization of the notion of a valuation",
2906         journal = "Amer. J. Math.",
2907         year = 1979,
2908         volume = 101,
2909         number = 1,
2910         pages = "245--257",
2911         note = "MathSciNet review: 80i:12017", }
2912 
2913 @article{NAG-NAK-TUZ,
2914         author = "Nagata, Masayoshi and Nakayama, Tadasi and Tuzuku, Tosiro",
2915         title = "On an existence lemma in valuation theory",
2916         journal = "Nagoya Math. J.",
2917         year = 1953,
2918         volume = 6,
2919         pages = "59--61",
2920         note = "MathSciNet review: 15,597c", }
2921 
2922 @article{NER,
2923         author = " Nerode, Anil",
2924         title = " A decision method for $p$--adic integral
2925             zeros of diophantine equations",
2926         journal = "Bull. Amer. Math. Soc.",
2927         year = 1963,
2928         volume = 69,
2929         pages = "513--517",
2930         note = "MathSciNet review: 29 {\#}5723", }
2931 
2932 @inbook{NEU,
2933         author = "Neukirch, J{\"u}rgen",
2934         title = " Algebraische {Z}ahlentheorie",
2935         series = "Dokumente Gesch. Math.",
2936         publisher = "Springer",
2937         address = "Berlin",
2938         year = 1990,
2939         volume = 6,
2940         pages = "587--628",
2941         note = "MathSciNet review: 92a:01057", }
2942 
2943 @article{OHM3,
2944         author = "Ohm, Jack",
2945         title = " On subfields of rational function fields",
2946         journal = "Arch. Math. (Basel)",
2947         year = 1984,
2948         volume = 42,
2949         number = 2,
2950         pages = "136--138",
2951         note = "MathSciNet review: 86h:12007", }
2952 
2953 @article{OHM5,
2954         author = "Ohm, Jack",
2955         title = " On ruled fields",
2956         journal = "S{\'e}m. Th{\'e}or. Nombres Bordeaux (2)",
2957         year = 1989,
2958         volume = 1,
2959         number = 1,
2960         pages = "27--49",
2961         note = "MathSciNet review: 91g:12006", }
2962 
2963 @article{ORE1,
2964         author = "Ore, Oystein",
2965         title = "Theory of non-commutative polynomials",
2966         journal = "Ann. of Math. (2)",
2967         year = 1933,
2968         volume = 34,
2969         pages = "480--508", }
2970 
2971 @article{OS1,
2972         author = "Ostrowski, Alexander",
2973         title = "{\"U}ber einige {F}ragen der allgemeinen
2974             {K}{\"o}rpertheorie",
2975         journal = "J. Reine Angew. Math.",
2976         year = 1913,
2977         volume = 143,
2978         pages = "255--284", }
2979 
2980 @article{OS2,
2981         author = "Ostrowski, Alexander",
2982         title = "{\"U}ber sogenannte perfekte {K}{\"o}rper",
2983         journal = "J. Reine Angew. Math.",
2984         year = 1917,
2985         volume = 147,
2986         pages = "191--204", }
2987 
2988 @mastersthesis{PA1,
2989         author = "Pank, Matthias",
2990         title = "{\"{U}}ber maximale, unmittelbare Erweiterungen",
2991         school = "Mathematisches Institut",
2992         year = 1973,  }
2993 
2994 @phdthesis{PA2,
2995         author = "Pank, Matthias",
2996         title = "Beitr{\"a}ge zur reinen und angewandten Bewertungstheorie",
2997         school = "Mathematisches Institut",
2998         year = 1976,  }
2999         
3000 
3001 @article{PAS1,
3002         author = "Pas, Johan",
3003         title = "On the angular component map modulo $P$",
3004         journal = "J. Symbolic Logic",
3005         year = 1990,
3006         volume = 55,
3007         number = 3,
3008         pages = "1125--1129",
3009         note = "MathSciNet review: 91h:03039", }
3010 
3011 @article{PAS2,
3012         author = "Pas, Johan",
3013         title = "Uniform $p$-adic cell decomposition and local
3014            zeta functions",
3015         journal = "J.Reine Angew. Math.",
3016         year = 1989,
3017         volume = 399,
3018         pages = "137--172",
3019         note = "MathSciNet review: 91g:11142", }
3020 
3021 @article{PAS3,
3022         author = "Pas, Johan",
3023         title = "Some applications of uniform $p$-adic cell
3024              decomposition",
3025         journal = "Journ{\'e}es {A}rithm{\'e}tiques, 1989 ({L}uminy, 1989),
3026                  {A}st{\'e}risque",
3027         year = 1991,
3028         volume = "198-200",
3029         pages = "265--271",
3030         note = "MathSciNet review: 93c:03039", }
3031 
3032 @book{PC1,
3033         author = "Prie{\ss}-Crampe, Sibylla",
3034         title = "Angeordnete {S}trukturen. {G}ruppen,
3035             {K}{\"o}rper, projektive {E}benen",
3036         series = "Ergeb. Math. Grenzgeb",
3037         publisher = "Sringer-Verlag",
3038         address = "Berlin-New York",
3039         year = 1983,
3040         volume = 98,
3041         note = "MathSciNet review: 85e:51025", }
3042 
3043 @article{PC2,
3044         author = "Prie{\ss}-Crampe, Sibylla",
3045         title = "Der {B}anachsche {F}ixpunktsatz f{\"u}r
3046            ultrametrische {R}{\"a}ume",
3047         journal = "Results Math.",
3048         year = 1990,
3049         volume = 18,
3050         number = "1-2",
3051         pages = "178--186",
3052         note = "MathSciNet review: 1 066 651", }
3053 
3054 @article{PC-RIB1,
3055         author = "Prie{\ss}-Crampe, Sibylla and Ribenboim, Paulo",
3056         title = "Resultats sur points fixes, peignes et series formelles
3057            generalisees",
3058         journal = "C. R. Acad. Sci. Paris S{\'e}r. I Math.",
3059         year = 1992,
3060         volume = 315,
3061         number = 6,
3062         pages = "639--643",
3063         note = "MathSciNet review: 93i:13023", }
3064 
3065 @article{PC-RIB2,
3066         author = "Prie{\ss}-Crampe, Sibylla and Ribenboim, Paulo",
3067         title = "Fixed Points, Combs and Generalized Power Series",
3068         journal = "Abh. Math. Sem. Univ. Hamburg",
3069         year = 1993,
3070         volume = 63,
3071         pages = "227--244",
3072         note = "MathSciNet review: 94d:13028", }
3073 
3074 @article{PC-RIB3,
3075         author = "Prie{\ss}-Crampe, Sibylla and Ribenboim, Paulo",
3076         title = "Equivalence relations and spherically complete ultrametric spaces",
3077         journal = "C. R. Acad. Sci. Paris S{\'e}r. I Math.",
3078         year = 1995,
3079         volume = 320,
3080         number = 10,
3081         pages = "1187--1192",
3082         note = "MathSciNet review:  96c:54052", }
3083 
3084 @article{PC-RIB4,
3085         author = "Prie{\ss}-Crampe, Sibylla and Ribenboim, Paulo",
3086         title = "Generalized ultrametric spaces {I}",
3087         journal = "Abh. Math. Sem. Univ. Hamburg",
3088         year = 1996,
3089         volume = 66,
3090         pages = "55--73",
3091         note = "MathSciNet review: 98g:54069", }
3092 
3093 @article{PC-RIB5,
3094         author = "Prie{\ss}-Crampe, Sibylla and Ribenboim, Paulo",
3095         title = "Generalized ultrametric spaces {II}",
3096         journal = "Abh. Math. Sem. Univ. Hamburg",
3097         year = 1997,
3098         volume = 67,
3099         pages = "19--31",
3100         note = "MathSciNet review: 1 481 524", }
3101 
3102 @article{PC-RIB6,
3103         author = "Prie{\ss}-Crampe, Sibylla and Ribenboim, Paulo",
3104         title = "The skeleton, {H}ahn spaces and immediate extensions of ultrametric
3105             spaces",
3106         journal = "Abh. Math. Sem. Univ. Hamburg",
3107         year = 1995,
3108         volume = 320,
3109         number = 12,
3110         pages = "1459--1464 ",
3111         note = "MathSciNet review: 96d:54025", }
3112 
3113 @article{PC-RIB7,
3114         author = "Prie{\ss}-Crampe, Sibylla and Ribenboim, Paulo",
3115         title = "Homogeneous ultrametric spaces",
3116         journal = "J. of Algebra",
3117         year = 1996,
3118         volume = 186,
3119         pages = "401--435",
3120         note = "MathSciNet review: 98g:54070", }
3121 
3122 @article{PC-RIB11,
3123         author = "Prie{\ss}-Crampe, Sibylla and Ribenboim, Paulo",
3124         title = "The {C}ommon {P}oint {T}heorem for {U}ltrametric {S}paces",
3125         journal = "Geom. Dedicata",
3126         year = 1998,
3127         volume = 72,
3128         pages = "105--110", }
3129 
3130 @book{PON,
3131         author = "Pontryagin, Lev Semenovich",
3132         title = "Topological groups",
3133         publisher = "Gordon and Breach",
3134         year = 1966,
3135         address = "New York-London-Paris",
3136         note = "MathSciNet review: 34 {\#}1439", }
3137 
3138 @unpublished{POP1,
3139         author = "Pop, Florian",
3140         title = "{\"{U}}ber die Struktur der wilden 
3141                 Erweiterungen eines K{\"o}rpers",
3142         note = "Manuscript, Heidelberg",
3143         year = 1987,  }
3144 
3145 @article{POP2,
3146         author = "Pop, Florian",
3147         title = "Galoissche {K}ennzeichnung $p$-adisch
3148             abgeschlossener {K}{\"o}rper",
3149         journal = "J.Reine Angew. Math.",
3150         year = 1988,
3151         volume = 392,
3152         pages = "145--175",
3153         note = "MathSciNet review: 89k:12014", }
3154 
3155 @article{POP3,
3156         author = "Pop, Florian",
3157         title = "On the {G}alois theory of function fields of
3158            one variable over number fields",
3159         journal = "J.Reine Angew. Math.",
3160         year = 1990,
3161         volume = 406,
3162         pages = "200--218",
3163         note = "MathSciNet review: 92d:11127", }
3164 
3165 @article{POP4,
3166         author = "Pop, Florian",
3167         title = "On {G}rothendieck's conjecture of birational
3168              anabelian geometry",
3169         journal = "Ann. of Math. (2)",
3170         year = 1994,
3171         volume = 139,
3172         number = 1,
3173         pages = "145--182",
3174         note = "MathSciNet review:  94m:12007", }
3175 
3176 @article{POP5,
3177         author = "Pop, Florian",
3178         title = "Galois covers of affine smooth curves.
3179            {T}he geometric case of a conjecture of {S}hafarevich. {O}n Abhyankar's
3180             conjecture",
3181         journal = "Invent. Math.",
3182         year = 1995,
3183         volume = 120,
3184         number = 3,
3185         pages = "555--578",
3186         note = "MathSciNet review:  96k:14011", }
3187 
3188 @article{POPE,
3189         author = "Popescu, Elena--Liliana",
3190         title = "A generalization of {H}ensel's {L}emma",
3191         journal = "Rev. Roumaine Math. Pures Appl.",
3192         year = 1993,
3193         volume = 38,
3194         number = 9,
3195         pages = "801--805", }
3196 
3197 @article{POPL-POPN,
3198         author = "Popescu, Liliana and Popescu, Nicolae",
3199         title = "On the residual transcendental extensions of   
3200             a valuation. {K}ey polynomials and augmented valuation",
3201         journal = "Tsukuba J. Math.",
3202         year = 1991,
3203         volume = 15,
3204         number = 1,
3205         pages = "57--78",
3206         note = "MathSciNet review: 92h:12008",  }
3207 
3208 @article{POPN,
3209         author = " Popescu, Nicolae",
3210         title = "On a problem of {N}agata in valuation theory",
3211         journal = "Rev. Roumaine Math. Pures Appl.",
3212         year = 1986,
3213         volume = 31,
3214         number = 7,
3215         pages = "639--641",
3216         note = "MathSciNet review: 88c:12007 ",  }
3217 
3218 @book{PR1,
3219         author = "Prestel, Alexander",
3220         title = "Lectures on {F}ormally {R}eal {F}ields",
3221         series = "Lecture Notes in Math.",
3222         year = 1984,
3223         volume = 1093,
3224         publisher = "Springer",
3225         address = "New York",   
3226         note = "MathSciNet review: 86h:12013 ",  }
3227 
3228 @book{PR3,
3229         author = "Prestel, Alexander",
3230         title = "Einf{\"u}hrung in die mathematische {L}ogik
3231             und {M}odelltheorie",
3232         series = "Vieweg Stud. Aufbaukurs Math.",
3233         year = 1986,
3234         volume = 60,
3235         publisher = "Friedr. {\&} Sohn", 
3236         address = "Braunschweig",
3237         note = "MathSciNet review: 88i:03003",  }
3238 
3239 @article{PR-HEI,
3240         author = "Heinemann, Bernhard and Prestel, Alexander",
3241         title = "Fields regularly closed with respect to 
3242               finitely many valuations and orderings",
3243         journal = "CMS Conf. Proc.",
3244         year = 1984,
3245         volume = 4,
3246         pages = "297--336",
3247         note = "MathSciNet review: 86g:12012",  }
3248 
3249 @book{PR-ROQ,
3250         author = " Prestel, Alexander and Roquette, Peter",
3251         title = " Formally $p$--adic fields",
3252         series = "Lecture Notes in Math.",
3253         year = 1984,
3254         volume = 1050,
3255         publisher = "Springer",
3256         address = "Berlin-Heidelberg-New York",
3257         note = "MathSciNet review: 85m:11090",  }
3258 
3259 @article{RAY1,
3260         author = " Rayner, Francis Jeffrey",
3261         title = " Hensel's {L}emma",
3262         journal = "Quart. J. Math. Oxford Ser. (2)",
3263         year = 1957,
3264         volume = 8,
3265         pages = "307--311",
3266         note = "MathSciNet review: 20 {\#}2332",  }
3267 
3268 @article{RAY2,
3269         author = " Rayner, Francis Jeffrey",
3270         title = " Relatively complete fields",
3271         journal = "Proc. Edinburgh Math. Soc.",
3272         year = "1958/59",
3273         volume = 11,
3274         pages = "131--133",
3275         note = "MathSciNet review: 20 {\#}7014",  }
3276 
3277 @article{RAY3,
3278         author = " Rayner, Francis Jeffrey",
3279         title = " Pseudo-convergent sequences in a
3280             field with a rank one valuation",
3281         journal = "Quart. J. Math. Oxford Ser. (2)",
3282         year = 1967,
3283         volume = 18,
3284         pages = "315--324",
3285         note = "MathSciNet review: 36 {\#}5111",  }
3286 
3287 @article{RAY4,
3288         author = " Rayner, Francis Jeffrey",
3289         title = " Gravett's proof of a theorem of {K}rull",
3290         journal = "Quart. J. Math. Oxford Ser. (2)",
3291         year = 1973,
3292         volume = 24,
3293         pages = "409--410",
3294         note = "[Corrigendum: Quart. J. Math. Oxford Ser. (2) vol. 26 (1975), pg. 384
3295                  MathSciNet review:  52 {\#}365] MathSciNet review: 48 {\#}3937 ",  }
3296 
3297 @article{RAY5,
3298         author = " Rayner, Francis Jeffrey",
3299         title = " An algebraically closed field",
3300         journal = "Glasgow Math. J.",
3301         year = 1968,
3302         volume = 9,
3303         pages = "146-151",
3304         note = "MathSciNet review: 38 {\#}3255" ,  }
3305 
3306 
3307 @incollection{RES,
3308         author = " Ressayre, Jean-Pierre",
3309         title = " Integer parts of real closed exponential fields",
3310         booktitle = "Arithmetic, proof theory, and computational complexity",
3311         series = "Oxford Logic Guides",
3312         publisher = "Oxford University Press",
3313         address = "New York",
3314         year = 1993,
3315         volume = 23,
3316         pages = "278--288",
3317         note = "MathSciNet review: 1~236~467" ,  }
3318 
3319 @article{RIB1,
3320         author = " Ribenboim, Paulo",
3321         title = "Modules sur un anneau de {D}edekind",
3322         journal = " Summa Brasil. Math.",
3323         year = 1952,
3324         volume = 3,
3325         pages = "21--36",
3326         note = "MathSciNet review: 15,5b" ,  }
3327 
3328 
3329 @article{RIB2,
3330         author = " Ribenboim, Paulo",
3331         title = " Le th{\'e}or{\`e}me d'approximation pour
3332             les valuations de {K}rull",
3333         journal = "Math. Z.",
3334         year = 1957,
3335         volume = 68,
3336         pages = "1--18",
3337         note = "MathSciNet review: 19,1035g " ,  }
3338 
3339 @article{RIB3,
3340         author = " Ribenboim, Paulo",
3341         title = " Corps maximaux et complets par des valuations de {K}rull",
3342         journal = "Math. Z.",
3343         year = 1958,
3344         volume = 69,
3345         pages = "466--479",
3346         note = "MathSciNet review: 20 {\#}3861 " ,  }
3347 
3348 @article{RIB4,
3349         author = " Ribenboim, Paulo",
3350         title = "Sur les groupes totalement ordonn{\'e}
3351             et l'arithm{\'e}tique des anneaux de valuation",
3352         journal = "Summa Brasil. Math.",
3353         year = 1958,
3354         volume = 4,
3355         pages = "1--64",
3356         note = "MathSciNet review: 21 {\#}6396" ,  }
3357 
3358 @book{RIB5,
3359         author = " Ribenboim, Paulo",
3360         title = "On the theory of Krull valuations",
3361         publisher = "Sociedade de Matematica de S{\~a}o Paulo",
3362         series = "Boletin",
3363         year = 1959,
3364         volume = 11,
3365         pages = " i--iv, 1--106",
3366         note = "MathSciNet review: 22 {\#}6805" ,  }
3367 
3368 @book{RIB6,
3369         author = " Ribenboim, Paulo",
3370         title = "Th{\'e}orie des groupe ordonn{\'e}s",
3371         publisher = "University Press", 
3372         address = "Bahia Blanca, Argentina",
3373         year = 1959,  }
3374 
3375 @article{RIB7,
3376         author = " Ribenboim, Paulo",
3377         title = "Remarques sur le prolongement des valuations de {K}rull",
3378         journal = "Rend. Circ. Mat. Palermo (2)",
3379         year = 1959,
3380         volume = 8,
3381         pages = " 152--159",
3382         note = "European Mathematical Soceity review:103.27003", }
3383 
3384 @article{RIB8,
3385         author = " Ribenboim, Paulo",
3386         title = "Sur la th{\'e}orie du prolongement des valuations de {K}rull",
3387         journal = "Math. Z.",
3388         year = "1960/61",
3389         volume = 75,
3390         pages = "449--466",
3391         note = "MathSciNet review: 23~{\#}A147", }
3392 
3393 @article{RIB9,
3394         author = "Ribenboim, Paulo",
3395         title = "An existence theorem for fields with {K}rull valuations",
3396         journal = "Trans. Amer. Math. Soc.",
3397         year = 1962,
3398         volume = 105,
3399         pages = "278--294",
3400         note = "MathSciNet review: 25 {\#}5059", }
3401 
3402 @article{RIB10,
3403         author = "Ribenboim, Paulo",
3404         title = "On the decomposition theory for {K}rull valuations",
3405         journal = "Illinois J. Math.",
3406         year = 1962,
3407         volume = 6,
3408         pages = "524--532",
3409         note = "MathSciNet review: 28~{\#}2109", }
3410 
3411 @article{RIB11,
3412         author = "Ribenboim, Paulo",
3413         title = "On the completion of a valuation ring",
3414         journal = "Math. Ann.",
3415         year = 1964,
3416         volume = 155,
3417         pages = "392--396",
3418         note = "MathSciNet review: 29 {\#}2251", }
3419 
3420 @article{RIB13,
3421         author = "Ribenboim, Paulo",
3422         title = " On the existence of fields with few discrete valuations",
3423         journal = "J. Reine Angew. Math.",
3424         year = 1964,
3425         volume = 216,
3426         pages = "43--49",
3427         note = "MathSciNet review: 29 {\#}2250", }
3428 
3429 @article{RIB14,
3430         author = "Ribenboim, Paulo",
3431         title = " A short note on {H}enselian fields",
3432         journal = "Math. Ann.",
3433         year = 1967,
3434         volume = 173,
3435         pages = "83--88",
3436         note = "MathSciNet review: 36 {\#}144", }
3437 
3438 @article{RIB15,
3439         author = "Ribenboim, Paulo",
3440         title = " Valuations and lengths of constructible modules",
3441         journal = "J. Reine Angew. Math.",
3442         year = 1976,
3443         volume = "283/284",
3444         pages = "186--201",
3445         note = "MathSciNet review: 53 {\#}8040", }
3446 
3447 @article{RIB16,
3448         author = "Ribenboim, Paulo",
3449         title = "On a question of {A}nne {M}arie {N}icolas concerning valuation rings",
3450         journal = "Ann. Univ. Ferrara Sez. VII (N.S.)",
3451         year = 1982,
3452         volume = 28,
3453         pages = "81--84",
3454         note = "MathSciNet review: 84m:13004", }
3455 
3456 @inproceedings{RIB18,
3457         author = "Ribenboim, Paulo",
3458         title = "Generalized power series rings",
3459         booktitle = "Lattices, semigroups, and universal algebra, Proc.
3460                  Int. Conf., Lisbon/Port. 1988",
3461         editor = "J. Almeida, G. Bordalo, P. Dwinger",
3462         publisher = "Plenum Press",
3463         address = "New York",
3464         year = 1990,
3465         pages = "271--277",  } 
3466 
3467 @article{RIB19,
3468         author = "Ribenboim, Paulo",
3469         title = " Squares in fields of generalized power series",
3470         journal = "C. R. Math. Rep. Acad. Sci. Canada ",
3471         year = 1990,
3472         volume = 12,
3473         number = 5,
3474         pages = "199--203",
3475         note = "MathSciNet review: 91k:12005", }
3476 
3477 @article{RIB20,
3478         author = "Ribenboim, Paulo",
3479         title = "Algebraic extensions of fields of generalized power series",
3480         journal = "C. R. Math. Rep. Acad. Sci. Canada ",
3481         year = 1990,
3482         volume = 12,
3483         number = 6,
3484         pages = "209--212",
3485         note = "MathSciNet review: 92d:12006", }
3486 
3487 @article{RIB21,
3488         author = "Ribenboim, Paulo",
3489         title = " Rings of generalized power series:
3490              nilpotent elements",
3491         journal = "Abh. Math. Sem. Univ. Hamburg",
3492         year = 1991,
3493         volume = 61,
3494         pages = "15--33",
3495         note = "MathSciNet review: 93a:13013", }
3496 
3497 @article{RIB22,
3498         author = "Ribenboim, Paulo",
3499         title = "Fields: algebraically closed and others",
3500         journal = "Maunscripta Math.",
3501         year = 1992,
3502         volume = 75,
3503         number = 2,
3504         pages = "115--150",
3505         note = "MathSciNet review: 93f:13014", }
3506 
3507 @article{RIB23,
3508         author = "Ribenboim, Paulo",
3509         title = "Some examples of valued fields",
3510         journal = "C. R. Acad. Sci. Paris Ser. I Math",
3511         year = 1992,
3512         volume = 314,
3513         number = 10,
3514         pages = "695--698",
3515         note = "MathSciNet review: 93c:12013", }
3516 
3517 @article{RIB24,
3518         author = "Ribenboim, Paulo",
3519         title = "Extension of {H}ironaka's standard basis
3520             theorem for generalized power series",
3521         journal = "Arch. Math. (Basel)",
3522         year = 1993,
3523         volume = 60,
3524         number = 5,
3525         pages = "436--439",
3526         note = "MathSciNet review: 94d:13029", }
3527 
3528 @article{RIB25,
3529         author = "Ribenboim, Paulo",
3530         title = " Multiplicative structures on power
3531                 series and the construction of skewfields",
3532         journal = "C. R. Acad. Sci. Paris Ser. I Math.",
3533         year = 1993,
3534         volume = 316,
3535         number = 11,
3536         pages = "1117--1121",
3537         note = "MathSciNet review: 93m:16022", }
3538 
3539 @article{RIB26,
3540         author = "Ribenboim, Paulo",
3541         title = "Rings of generalized power series {II}:
3542                 units and zero divisors",
3543         journal = "J. Algebra",
3544         year = 1994,
3545         volume = 168,
3546         number = 1,
3547         pages = "71--89",
3548         note = "MathSciNet review: 95f:13030", }
3549 
3550 
3551 @article{RIB27,
3552         author = "Ribenboim, Paulo",
3553         title = "Special properties of generalized power series",
3554         journal = "J. Algebra",
3555         year = 1995,
3556         volume = 173,
3557         number = 3,
3558         pages = "566--586",
3559         note = "MathSciNet review: 96d:13031", }
3560 
3561 @article{RIB28,
3562         author = "Ribenboim, Paulo",
3563         title = " Some examples of valued fields",
3564         journal = "J. Algebra",
3565         year = 1995,
3566         volume = 173,
3567         number = 3,
3568         pages = "668--678",
3569         note = "MathSciNet review: 96b:12013", }
3570 
3571 @article{RIB29,
3572         author = "Ribenboim, Paulo",
3573         title = "On {R}olle fields, with examples",
3574         journal = "Arch. Math. (Basel)",
3575         year = 1995,
3576         volume = 64,
3577         number = 5,
3578         pages = "402--409",
3579         note = "MathSciNet review: 96c:12011", }
3580 
3581 @article{RIB30,
3582         author = "Ribenboim, Paulo",
3583         title = "The new theory of ultrametric spaces",
3584         journal = "Period. Math. Hungar.",
3585         year = 1996,
3586         volume = 32,
3587         number = "1-2",
3588         pages = "103--111",
3589         note = "MathSciNet review: 97h:13019", }
3590 
3591 @book{RIBES,
3592         author = "Ribes, Luis",
3593         title = "Introduction to profinite groups and
3594                 {G}alois cohomology",
3595         series = "Queen's Papers in Pure and Appl. Math.",
3596         publisher = "Queen's University",
3597         address = "Kingston, ON",
3598         year = 1970,
3599         volume = 24,
3600         note = "MathSciNet review: 41 {\#}5495", }
3601 
3602 @inproceedings{RIC,
3603         author = "Richman, Fred",
3604         title = "A guide to valuated groups",
3605         booktitle = "Abelian group theory (Proc. Second New Mexico State
3606                  Univ. Conf., Las Cruces, N.M., 1976)",
3607         series = "Lecture Notes in Math.",
3608         publisher = "Springer",
3609         address = "New York",
3610         year = 1977,
3611         volume = 616,
3612         pages = "73--86",
3613         note = "MathSciNet review: 58 {\#}929", }
3614 
3615 @article{RIC-WA,
3616         author = "Richman, Fred and Walker, Elbert A. ",
3617         title = "Valuated {G}roups",
3618         journal = "J. Algebra",
3619         year = 1979,
3620         volume = 56,
3621         pages = "145--167",
3622         note = "MathSciNet review: 80k:20053", }
3623 
3624 @article{RICS,
3625         author = "Richardson, Daniel ",
3626         title = "Solution of the identity problem for
3627                 integral exponential functions",
3628         journal = "Z. Math. Logik Grundlag. Math.",
3629         year = 1969,
3630         volume = 15,
3631         pages = " 333--340",
3632         note = "MathSciNet review: 41 {\#}6678", }
3633 
3634 @phdthesis{RO1,
3635         author = "Robinson, Edmund P.",
3636         title = "Affine schemes and $p$--adic geometry",
3637         school = "Cambridge",
3638         year = 1983, }
3639 
3640 @article{RO2,
3641         author = "Robinson, Edmund P.",
3642         title = "The $p$--adic spectrum",
3643         journal = "J. Pure Appl. Algebra",
3644         year = 1986,
3645         volume = 40,
3646         number = 3,
3647         pages = "281--296",
3648         note = "MathSciNet review: 88d:14002", }
3649 
3650 @article{ROB-Z,
3651         author = "Robinson, Abraham and Zakon, Elias",
3652         title = "Elementary properties of ordered abelian groups",
3653         journal = "Trans. Amer. Math. Soc.",
3654         year = 1960,
3655         volume = 96,
3656         pages = "222--236",
3657         note = "MathSciNet review: 22 {\#}5673", }
3658 
3659 @article{ROQ1,
3660         author = "Roquette, Peter",
3661         title = "On the prolongation of valuations",
3662         journal = "Trans. Amer. Math. Soc.",
3663         year = 1958,
3664         volume = 88,
3665         pages = "42--56",
3666         note = "MathSciNet review: 20 {\#}7019", }
3667 
3668 @article{ROQ3,
3669         author = "Roquette, Peter",
3670         title = "Bemerkungen zur {T}heorie der formal
3671                 $p$-adischen {K}{\"o}rper",
3672         journal = "Beitr{\"a}ge Algebra Geom.",
3673         year = 1971,
3674         volume = 1,
3675         pages = "177--193",
3676         note = "MathSciNet review: 45 {\#}8643", }
3677 
3678 @article{ROQ4a,
3679         author = "Roquette, Peter",
3680         title = "Principal ideal theorems of holomorphy
3681                 rings in fields",
3682         journal = "J. Reine Angew. Math.",
3683         year = 1973,
3684         volume = "262/263",
3685         pages = "361--374",
3686         note = "MathSciNet review: 48 {\#}3950", }
3687 
3688 @article{ROQ4b,
3689         author = "Roquette, Peter",
3690         title = "Principal ideal theorems of holomorphy
3691                 rings in fields",
3692         journal = "J. Reine Angew. Math.",
3693         year = 1976,
3694         volume = 280,
3695         pages = "213", }
3696 
3697 @article{ROQ5,
3698         author = "Roquette, Peter",
3699         title = "A criterion for rational places over local fields",
3700         journal = "J. Reine Angew. Math.",
3701         year = 1977,
3702         volume = 292,
3703         pages = "90--108",
3704         note = "MathSciNet review: 56~{\#}325", }
3705 
3706 @article{ROQ9,
3707         author = "Roquette, Peter",
3708         title = " Reciprocity in valued function fields",
3709         journal = "J.~Reine Angew. Math.",
3710         year = 1987,
3711         volume = "375/376",
3712         pages = "238--258",
3713         note = "MathSciNet review: 88f:11058", }
3714 
3715 @article{ROSL1,
3716         author = "Rosenlicht, Maxwell ",
3717         title = "Differential valuations",
3718         journal = "Pacific J. Math.",
3719         year = 1980,
3720         volume = 86,
3721         number = 1,
3722         pages = "301--319",
3723         note = "MathSciNet review: 82a:12017", }
3724 
3725 @article{ROSL2,
3726         author = "Rosenlicht, Maxwell ",
3727         title = "On the value group of a differential valuation",
3728         journal = "Amer. J. Math.",
3729         year = 1979,
3730         volume = 101,
3731         number = 1,
3732         pages = "258--266",
3733         note = "MathSciNet review: 81b:12030", }
3734 
3735 @article{ROSL3,
3736         author = "Rosenlicht, Maxwell ",
3737         title = "On the value group of a differential valuation {II}",
3738         journal = "Amer. J. Math.",
3739         year = 1981,
3740         volume = 103,
3741         number = 5,
3742         pages = "977--996",
3743         note = "MathSciNet review: 83d:12013", }
3744 
3745 @article{ROSL4,
3746         author = "Rosenlicht, Maxwell ",
3747         title = "Hardy fields",
3748         journal = "J. Math. Anal. Appl.",
3749         year = 1983,
3750         volume = 93,
3751         number = 2,
3752         pages = "{\mbox{297--311}}",
3753         note = "MathSciNet review: 85d:12001", }
3754 
3755 @article{ROSL5,
3756         author = "Rosenlicht, Maxwell ",
3757         title = "The rank of a {H}ardy field",
3758         journal = "Trans. Amer. Math. Soc.",
3759         year = 1983,
3760         volume = 280,
3761         number = 2,
3762         pages = "659--671",
3763         note = "MathSciNet review: 85d:12002", }
3764 
3765 @article{ROSL6,
3766         author = "Rosenlicht, Maxwell ",
3767         title = "Rank change on adjoining real powers to {H}ardy fields",
3768         journal = "Trans. Amer. Math. Soc.",
3769         year = 1984,
3770         volume = 284,
3771         number = 2,
3772         pages = "829--836",
3773         note = "MathSciNet review: 85i:12008", }
3774 
3775 @article{ROSL7,
3776         author = "Rosenlicht, Maxwell ",
3777         title = "Growth properties of functions in {H}ardy fields",
3778         journal = "Trans. Amer. Math. Soc.",
3779         year = 1987,
3780         volume = 299,
3781         number = 1,
3782         pages = "261--272",
3783         note = "MathSciNet review: 88b:12010", }
3784 
3785 @book{ROST,
3786         author = "Rosenstein, Joseph G.",
3787         title = "Linear orderings",
3788         series = "Pure Appl. Math.",
3789         year = 1982,
3790         volume = 98,
3791         publisher = "Academic Press",
3792         address = "Boston, MA",
3793         note = "MathSciNet review: 84m:06001", }
3794 
3795 @mastersthesis{ROU,
3796         author = "Rouani, Yamina ",
3797         title = "Ind{\'e}cidabilit{\'e} dans un langage enrichi
3798                 de corps de s{\'e}ries formelles en caract{\'e}ristique positive",
3799         school = "Universit{\'e} Paris VII ",
3800         year = 1986,
3801         note = "Th{\`e}se 3{\`e}me cycle", }
3802 
3803 @article{RY1,
3804         author = "Rychl{\'i}k, Karel",
3805         title = "Zur {B}ewertungstheorie der algebraischen
3806                 {K}{\"o}rper",
3807         journal = "J. Reine Angew. Math.",
3808         year = 1924,
3809         volume = 153,
3810         pages = "94-107", }
3811 
3812 @article{SAN,
3813         author = "Sankaran, N.",
3814         title = "Classification of totally ordered abelian groups",
3815         journal = " J.~Indian Math. Soc. (N.S.)",
3816         year = 1965,
3817         volume = 29,
3818         pages = "9-29",
3819         note = "MathSciNet review: 32~{\#}5748", }
3820 
3821 @article{SAN-VE,
3822         author = "Venkataraman, R. and Sankaran, N.",
3823         title = "Existence of {U}ltracomplete {I}mmediate {E}xtensions for {N}ormed {M}odules",
3824         journal = " J. Algebra",
3825         year = 1970,
3826         volume = 15,
3827         pages = "{\mbox{429-442}}",
3828         note = "MathSciNet review: 41 {\#}6835", }
3829 @book{SCHI1,
3830         author = "Schilling, Otto Franz Georg",
3831         title = "The {T}heory of {V}aluations",
3832         series = "Math. Surveys Monographs",
3833         publisher = "Amer. Math. Soc.",
3834         address = "Providence, RI",
3835         year = 1950,
3836         note = "MathSciNet review: 13,315b", }
3837 
3838 @article{SCHTT1,
3839         author = "Schmitt, Peter H.",
3840         title = "Undecidable theories of valuated abelian groups",
3841         journal = "M{\'e}m. Soc. Math. France (N.S.)",
3842         year = 1984,
3843         volume = 16,
3844         pages = "67--76",
3845         note = "MathSciNet review: 87a:03080", }
3846 
3847 @phdthesis{SCHK,
3848         author = "Schinke, Johann Heimrich",
3849         title = "Das ($p,d$)--adische {S}pektrum",
3850         school = "University of M{\"u}nster",
3851         year = 1985,  }
3852 
3853 @inproceedings{SCHTT2,
3854         author = "Schmitt, Peter H.",
3855         title = "Decidable theories of valuated abelian groups",
3856         booktitle = "Logic colloquium '84",
3857         series = "Stud. Logic Found. Math.",
3858         publisher = "North-Holland", 
3859         address = "Amsterdam-New York",
3860         year = 1986,
3861         number = 120,
3862         pages = "245--276",
3863         note = "MathSciNet review: 87k:03035", }
3864 
3865 @mastersthesis{SCHO1,
3866         author = "Sch{\"o}rner, Erwin",
3867         title = "Transvollst{\"a}ndige und maximale unmittelbare {E}rweiterungen",
3868         school = "Ludwig-Maximilians-Universit{\"a}t M{\"u}nchen",
3869         year = 1994, }
3870 
3871 @article{SCHO2,
3872         author = "Schmitt, Peter H.",
3873         title = "On immediate extensions of ultrametric spaces",
3874         journal = "Results Math.",
3875         year = 1996,
3876         number = "3-4",
3877         volume = 29,
3878         pages = "361--370",
3879         note = "MathSciNet review: 97b:54041", }
3880 
3881 @inproceedings{SCHRO1,
3882         author = "Schr{\"o}der, Martin",
3883         title = "Linearly ordered proper skewfields with rank
3884                 $1$ of natural valuation",
3885         booktitle = " Proc. First Int. Symp. Ordered Algebraic
3886                 Structures Luminy-Marseille, 1984", 
3887         series = "R {\&} E Res. Exp. Math.",
3888         editor = "S. Wolfenstein",
3889         volume = 14,
3890         publisher = "Heldermann-Verlag", 
3891         address = "Berlin",
3892         year = 1986,  }
3893 
3894 @book{SCHRO2,
3895         author = "Schr{\"o}der, Martin",
3896         title = " Angeordnete {S}chiefk{\"o}rper mit
3897                 nat{\"u}rlicher {B}ewertung vom {R}ang 1",
3898         series = "Schriften. Math. Inst. Univ. M{\"u}nster 2. Ser.",
3899         year = 1986,
3900         volume = 39,
3901         publisher = "Univ. M{\"u}nster, Mathematisches Institut",
3902         address = "M{\"u}nster",
3903         note = "MathSciNet review: 87k:12015", }
3904 
3905 @article{SCHRO3,
3906         author = "Schr{\"o}der, Martin",
3907         title = "Bewertungsringe von {S}chiefk{\"o}rpern,
3908                 {R}esultate und offene {P}robleme",
3909         journal = "Results Math.",
3910         year = 1987,
3911         volume = 12,
3912         number = "1-2",
3913         pages = "191--206",
3914         note = "MathSciNet review: 89g:16006 ", }
3915 
3916 @article{SCHRO4,
3917         author = "Schr{\"o}der, Martin",
3918         title = "{\"U}ber {N}.~{I}.~{D}ubrovin's {A}nsatz zur
3919                 {K}onstruktion von nicht vollprimen {P}rimidealen 
3920                 in {K}ettenringen",
3921         journal = "Results Math.",
3922         year = 1990,
3923         volume = 17,
3924         number = "3-4",
3925         pages = "296--306",
3926         note = "MathSciNet review: 91e:16024", }
3927 
3928 @article{SEI,
3929         author = "Seidenberg, Abraham ",
3930         title = "Comments on {L}efschetz's {P}rinciple",
3931         journal = "Amer. Math. Monthly",
3932         year = 1958,
3933         volume = 65,
3934         pages = "685--690",
3935         note = "MathSciNet review: 20 {\#}5201", }
3936 
3937 @book{SER1,
3938         author = "Serre, Jean-Pierre",
3939         title = "Cohomologie Galoisienne",
3940         series = "Lecture Notes in Math.",
3941         year = 1965,
3942         volume = 5,
3943         publisher = "Springer",
3944         address = "New York",
3945         note = "MathSciNet review: 34 {\#}1328", }
3946 
3947 @book{SHE,
3948         author = "Shell, Niel",
3949         title = "Topological fields and near valuations",
3950         series = "Monographs Textbooks Pure Appl. Math.",
3951         year = 1990,
3952         volume = 135,
3953         publisher = "Marcel Dekker, Inc.", 
3954         address = "New York",
3955         note = "MathSciNet review: 91m:12012", }
3956 
3957 @book{TA,
3958         author = "Tarski, Alfred",
3959         title = " A decision method for elementary algebra and
3960                 geometry",
3961         publisher = "University of California Press",
3962         year = 1951,
3963         edition = "2nd",
3964         address = "Berkeley-Los Angeles",
3965         note = "MathSciNet review: 13,423a", }
3966 
3967 @article{TER,
3968         author = "Terjanian, Guy ",
3969         title = "Un contre-exemple {\`a} une conjecture d'{A}rtin",
3970         journal = "C.~R. Acad. Sci. Paris Ser. {\mbox{A-B}}",
3971         year = 1966,
3972         volume = 262,
3973         pages = "A612",
3974         note = "MathSciNet review: 33 {\#}5615", }
3975 
3976 @article{TSEN,
3977         author = "Tsen, Chiungtze C.",
3978         title = "Divisionsalgebren {\"u}ber {F}unktionenk{\"o}rpern",
3979         journal = "Nachr. Ges. Wiss. Goettingen, Math.-Phys. Kl.",
3980         year = 1933,
3981         pages = "335-339",
3982         note = "European Mathematical Society review: 007.29401", }
3983 
3984 @article{VA,
3985         author = "V{\'a}mos, Peter",
3986         title = "Multiple maximally valued fields",
3987         journal = "J. London Math. Soc.",
3988         year = 1978,
3989         volume = 12,
3990         pages = "103--111",
3991         note = "European Mathematical Society review: 318.12109", }
3992 
3993 @phdthesis{VDD1 ,
3994         author = " van den Dries, Lou",
3995         title = "Model Theory of Fields",
3996         school = "University of Utrecht",
3997         year = 1978,  }
3998 
3999 @article{VDD2,
4000         author = "van den Dries, Lou ",
4001         title = " Exponential rings, exponential polynomials and exponential functions",
4002         journal = "Pacific J. Math.",
4003         year = 1984,
4004         volume = 113,
4005         number = 1,
4006         pages = "51--66",
4007         note = "MathSciNet review: 85j:13040", }
4008 
4009 @article{VDD3,
4010         author = "van den Dries, Lou ",
4011         title = "Analytic {H}ardy fields and exponential curves
4012                  in the real plane",
4013         journal = "Amer. J. Math.",
4014         year = 1984,
4015         volume = 106,
4016         number = 1,
4017         pages = "149--167",
4018         note = "MathSciNet review: 85b:12002", }
4019 
4020 @article{VDD4,
4021         author = "van den Dries, Lou ",
4022         title = "Quantifier elimination for linear
4023                 formulas over ordered and valued fields",
4024         journal = "Bull. Soc. Math. Belg. S{\'e}r. B",
4025         year = 1981,
4026         volume = 23,
4027         number = 1,
4028         pages = "{\mbox{19--31}}",
4029         note = "MathSciNet review: 82k:03035", }
4030 
4031 @article{VDD5,
4032         author = "van den Dries, Lou ",
4033         title = " Some applications of a model
4034                 theoretic fact to (semi-) algebraic geometry",
4035         journal = "Indag. Math. (N.S.)",
4036         year = 1982,
4037         volume = 44,
4038         number = 4,
4039         pages = "397--401",
4040         note = "MathSciNet review: 84m:14029", }
4041 
4042 @unpublished{VDD6,
4043         author = "van den Dries, Lou ",
4044         title = "Elementary invariants for henselian
4045                 valuation rings of mixed characteristic, and 
4046                 relative versions",
4047         year = 1983,
4048         note = "Manuscript",  }
4049 
4050 @article{VDD7,
4051         author = "van den Dries, Lou ",
4052         title = " Remarks on {T}arski's problem
4053                 concerning $(\mbox{\bf {\uppercase{r}}},+,\cdot ,\exp)$",
4054         journal = "Stud. Logic Found. Math.",
4055         year = 1984,
4056         volume = 112,
4057         number = 4,
4058         pages = "97--121",
4059         note = "MathSciNet review: 86g:03052", }
4060 
4061 @article{VDD8,
4062         author = "van den Dries, Lou ",
4063         title = "A generalization of the {T}arski-{S}eidenberg
4064             theorem, and some nondefinability results",
4065         journal = "Bull. Amer. Math. Soc. (N.S.)",
4066         year = 1986,
4067         volume = 15,
4068         number = 2,
4069         pages = "189--193",
4070         note = "MathSciNet review: 88b:03048", }
4071 
4072 @book{VDD9,
4073         author = "van den Dries, Lou ",
4074         title = "Tame topology and o-minimal structures",
4075         series = "London Math. Soc. Lecture Note Ser.",
4076         publisher = "Cambridge University Press",
4077         address = "Cambridge",
4078         year = 1998,
4079         volume = 248,
4080         note = "MathSciNet review: 1 633 348", }
4081 
4082 @unpublished{VDD10,
4083         author = "van den Dries, Lou ",
4084         title = "Chapter 1: Logic",
4085         year = 1990,
4086         note = "Manuscript distributed at the Amhurst Conference",  }
4087 
4088 @article{VDD-LEV,
4089         author = "van den Dries, Lou and Levitz, Hilbert ",
4090         title = "On {S}kolem's exponential functions below $2^{2^x}$",
4091         journal = "Trans. Amer. Math. Soc.",
4092         year = 1984,
4093         volume = 286,
4094         number = 1,
4095         pages = "339--349",
4096         note = "MathSciNet review: 86g:03068", }
4097 
4098 @article{VDD-MAC-MAR1,
4099         author = "van den Dries, Lou and  Macintyre, Angus and Marker, David ",
4100         title = "The elementary theory of restricted analytic
4101                functions with exponentiation",
4102         journal = "Ann. of Math. (2)",
4103         year = 1994,
4104         volume = 140,
4105         number = 1,
4106         pages = "183--205",
4107         note = "MathSciNet review: 95k:12015", }
4108 
4109 @article{VDD-MAC-MAR2,
4110         author = "van den Dries, Lou and  Macintyre, Angus and Marker, David ",
4111         title = "Logarithmic-exponential power series",
4112         journal = "J. London Math. Soc. (2)",
4113         year = 1997,
4114         volume = 56,
4115         number = 3,
4116         pages = "417--434",
4117         note = "MathSciNet review: 99d:03063", }
4118 
4119 @article{VDD-MIL,
4120         author = "van den Dries, Lou and Miller, Chris",
4121         title = "  On the real exponential field with restricted
4122                analytic functions",
4123         journal = "Israel J. Math.",
4124         year = 1994,
4125         volume = 85,
4126         number = "1-3",
4127         pages = "19-56",
4128         note = "European Mathematical Society review: 823.03017", }
4129 
4130 @article{VDP1,
4131         author = "van der Put, Marius",
4132         title = "Espaces de {B}anach non-archim{\'e}diens",
4133         journal = "Bull. Soc. Math. France",
4134         year = 1969,
4135         volume = 97,
4136         pages = "309--320",
4137         note = "MathSciNet review: 43~{\#}3773", }
4138 
4139 @book{VDW2,
4140         author = "van der Waerden, Bartel L.",
4141         title = "Algebra {II}",
4142         publisher = "Springer",
4143         year =  1991,
4144         note = "MathSciNet review: 91h:00009b",   }
4145 
4146 @article{WA2,
4147         author = "Warner, Seth",
4148         title = "Residual fields in valuation theory",
4149         journal = "Math. Scand.",
4150         year = 1985,
4151         volume = 56,
4152         number = 2,
4153         pages = "203--221",
4154         note = "MathSciNet review: 87e:12014", }
4155 
4156 @article{WA,
4157         author = "Warner, Seth",
4158         title = "Finite extensions of valued fields",
4159         journal = "Canad. Math. Bull.",
4160         year = 1986,
4161         volume = 29,
4162         number = 1,
4163         pages = "64--49",
4164         note = "MathSciNet review: 87c:12012", }
4165 
4166 @book{WA4,
4167         author = "Warner, Seth",
4168         title = "Topological rings",
4169         series = "North-Holland Math. Stud.",
4170         year = 1993,
4171         volume = 178,
4172         publisher = "North-Holland ",
4173         address = "Amsterdam",
4174         note = "MathSciNet review: 95a:16058", }
4175 
4176 @book{WE,
4177         author = "Weil Andr{\'e}",
4178         title = "Foundations of {A}lgebraic {G}eometry",
4179         publisher = "Amer. Math. Soc.",
4180         year = 1962,
4181         note = "MathSciNet review: 26~{\#}2439", }
4182 
4183 @phdthesis{WEI1,
4184         author = "Weispfenning, Volker",
4185         title = "Elementary theories of valued fields",
4186         school = "Heidelberg",
4187         year = 1971,  }
4188 
4189 @article{WEI2,
4190         author = "Weispfenning, Volker",
4191         title = "Two model theoretic proofs of {R}{\"u}ckert's
4192                  {N}ullstellensatz",
4193         journal = "Trans. Amer. Math. Soc.",
4194         year = 1975,
4195         volume = 203,
4196         pages = "331--342",
4197         note = "MathSciNet review: 51 {\#}5296", }
4198 
4199 @article{WEI3,
4200         author = "Weispfenning, Volker",
4201         title = "On the elementary theory of {H}ensel fields",
4202         journal = "Ann. Math. Logic",
4203         year = 1976,
4204         volume = 10,
4205         number = 1,
4206         pages = "59--93",
4207         note = "MathSciNet review: 55~{\#}5437", }
4208 
4209 @article{WEI4,
4210         author = "Weispfenning, Volker",
4211         title = "Nullstellens{\"a}tze -- A model theoretic framework",
4212         journal = "Z. Math. Logik Grundlag. Math.",
4213         year = 1977,
4214         volume = 23,
4215         number = 6,
4216         pages = "539--545",
4217         note = "MathSciNet review: 57 {\#}16056", }
4218 
4219 @article{WEI5,
4220         author = "Weispfenning, Volker",
4221         title = " Elimination of quantifiers for certain 
4222                 ordered and lattice-ordered abelian groups",
4223         journal = "Bull. Soc. Math. Belg. Ser. B",
4224         year = 1981,
4225         volume = 33,
4226         number = 1,
4227         pages = "131--155",
4228         note = "MathSciNet review: 82h:03022", }
4229 
4230 @inproceedings{WEI6,
4231         author = "Weispfenning, Volker",
4232         title = "Valuation rings and boolean products",
4233         booktitle = "Proc. Conf. F.N.R.S.",
4234         year = 1982,
4235         address = "Bruxelles",  }
4236 
4237 @inproceedings{WEI7,
4238         author = "Weispfenning, Volker",
4239         title = "Quantifier elimination and decision
4240                 procedures for valued fields",
4241         booktitle = "Models and sets ",
4242         series = "Lecture Notes in Math.",
4243         publisher = "Springer",
4244         address = "Berlin-New York",
4245         year = 1984,
4246         volume = 1103,
4247         pages = "419--472",
4248         note = "MathSciNet review: 86m:03059", }
4249 
4250 @inproceedings{WEI8,
4251         author = "Weispfenning, Volker",
4252         title = "Aspects of quantifier elimination in algebra",
4253         booktitle = "Universal algebra and its links with logic, algebra,
4254                  combinatorics and computer science ",
4255         series = "R {\&} E Res. Exp. Math.",
4256         publisher = "Heldermann",
4257         address = "Berlin",
4258         year = 1984,
4259         volume = 4,
4260         pages = " 85--105",
4261         note = "MathSciNet review: 87b:03066", }
4262 
4263 @inproceedings{WEI9,
4264         author = "Weispfenning, Volker",
4265         title = "Quantifier eliminable ordered abelian groups",
4266         booktitle = "Algebra and order (Luminy-Marseille, 1984)",
4267         series = "R {\&} E Res. Exp. Math.",
4268         publisher = "Heldermann",
4269         address = "Berlin",
4270         year = 1986,
4271         volume = 14,
4272         pages = "113--126",
4273         note = "MathSciNet review: 88f:03024", }
4274 
4275 @article{WEI10,
4276         author = "Weispfenning, Volker",
4277         title = " The complexity of linear problems in fields",
4278         journal = "J. Symbolic Comput.",
4279         year = 1988,
4280         volume = 5,
4281         number = "1-2",
4282         pages = "3--27",
4283         note = "MathSciNet review: 89g:11123", }
4284 
4285 @article{WEI11,
4286         author = "Weispfenning, Volker",
4287         title = "Existential equivalence of ordered abelian 
4288                 groups with parameters",
4289         journal = "Arch. Math. Logic",
4290         year = 1990,
4291         volume = 29,
4292         number = 4,
4293         pages = "237--248",
4294         note = "MathSciNet review: 91h:03044", }
4295 
4296 @article{WIL,
4297         author = "Wilkie, Alex J.",
4298         title = "Model completeness results for expansions of the ordered
4299                  field of real numbers by restricted {P}faffian functions and
4300                 the exponential function",
4301         journal = "J. Amer. Math. Soc.",
4302         year = 1996,
4303         volume = 9,
4304         number = 4,
4305         pages = "1051--1094",
4306         note = "MathSciNet review: 98j:03052", }
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4308 @inproceedings{WOL1,
4309         author = "Wolter, Helmut",
4310         title = "On the model theory of exponential fields",
4311         series = "Stud. Logic Found. Math.",
4312         booktitle = "Logic colloquium '84 (Manchester, 1984)",
4313         publisher = "North-Holland", 
4314         address = "Amsterdam-New York",
4315         year = 1986,
4316         volume = 120,
4317         pages = "343--353",
4318         note = "MathSciNet review: 88a:03082", }
4319 
4320 @article{WOL2,
4321         author = "Wolter, Helmut",
4322         title = "On the ``problem of the last root'' for
4323                 exponential terms",
4324         journal = "Z. Math. Logik Grundlag. Math.",
4325         year = 1985,
4326         volume = 31,
4327         number = 2,
4328         pages = "163--168",
4329         note = "MathSciNet review: 86m:03061", }
4330 
4331 @article{WOL3,
4332         author = "Wolter, Helmut",
4333         title = "Some remarks on exponential functions in ordered fields",
4334         journal = "Z. Math. Logik Grundlag. Math.",
4335         year = 1986,
4336         volume = 32,
4337         number = 3,
4338         pages = "229--236",
4339         note = "MathSciNet review: 87i:03072", }
4340 
4341 @article{WOL4,
4342         author = "Wolter, Helmut",
4343         title = "Orderings in exponential fields of
4344                 term-defined functions",
4345         journal = "Z. Math. Logik Grundlag. Math.",
4346         year = 1989,
4347         volume = 35,
4348         number = 2,
4349         pages = "187--192",
4350         note = "MathSciNet review: 90k:03064", }
4351 
4352 @article{WOL5,
4353         author = "Wolter, Helmut",
4354         title = "Consequences of Schanuel's condition for
4355                 zeros of exponential terms",
4356         journal = "Math. Log. Q.",
4357         year = 1993,
4358         volume = 39,
4359         number = 4,
4360         pages = "559-565",
4361         note = "European Mathematical Society review: 799.03041", }
4362 
4363 @article{ZAR-SA1,
4364         author = "Zariski, Oscar and Samuel, Pierre",
4365         title = "Consequences of {S}chanuel's conjecture for
4366                 zeros of exponential terms",
4367         journal = "Z. Math. Logik Grundlag. Math.",
4368         year = 1989,
4369         volume = 35,
4370         number = 2,
4371         pages = "187--192",
4372         note = "MathSciNet review: 90k:03064", }
4373 
4374 @unpublished{ZI,
4375         author = "Ziegler, Martin",
4376         title = "Die elementare {T}heorie der henselschen {K}{\"o}rper",
4377         year = 1972,
4378         note = "Inaugural Dissertation", 
4379         address = " K{\"o}ln",  }
4380 
4381 @book{BACH,
4382         author = "Bachman, George",
4383         title = "Introduction to $p$-adic Numbers and Valuation Theory",
4384         publisher = "Academic Press",
4385         address = "New York-London",
4386         year = 1964,
4387         note = "MathSciNet review: 30 {\#}90",   }
4388 
4389 @phdthesis{BAST1,
4390         author = "Bastos, Gervasio G.",
4391         title = "Sobre um {P}roblema de {E}xis{\^e}ncia na {T}eoria das {V}aloriza{\c{c}}{\~o}es",
4392         year = 1972,
4393         address = "Rio de Janeiro",
4394         school = "IMPA",  }
4395 
4396 @phdthesis{HILL,
4397         author = "Hill, L.C.",
4398         title = "On {P}rescibing {H}enselizations for {V}alued {F}ields",
4399         year = 1972,
4400         address = "Rochester, New York",
4401         school = "University of Rochester",  }
4402 
4403 @article{RIB31,
4404         author = "Ribenboim, Paulo",
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4406         journal = "Summa Brazil. Math.",
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4408         volume = 3,
4409         pages = "213-253", }
4410 
4411 @book{RIB32,
4412         author = "Ribenboim, Paulo",
4413         title = "T{\'o}picos de Teoria dos {N}{\'u}meros (Portuguese)",
4414         series = "Notas Mat.",
4415         publisher = "Instituto de Matem{\'a}tica Pura e Aplicada,
4416                  Conselho Nacional de Pesquisas",
4417         address = "Rio de Janeiro",
4418         year = 1966,
4419         number = 35,
4420         note = "MathSciNet review:35~{\#}112", }
4421 
4422 @book{SER2,
4423         author = "Serre, Jean-Pierre",
4424         title = "Corps Locaux",
4425         publisher = "Hermann",
4426         address = "Paris",
4427         edition = 2,
4428         series = "Publications de l'Université de Nancago, No. VIII",
4429         year = 1968,
4430         pages = 245,
4431         note = "MathSciNet review: 50 {\#}7096",  }
4432 
4433 @book{RIB33,
4434         author = "Ribenboim, Paulo",
4435         title = "Collected papers of {P}aulo {R}ibenboim",
4436         series = " Queen's Papers in Pure and Appl. Math., 104",
4437         publisher = "Queen's University", 
4438         address = "Kingston, ON",
4439         year = 1997,
4440         volume = "1-7",
4441         note = "MathSciNet reviews: (1 624 577), (1 628 951), (1~628~704),
4442                 (1~628 700), (1~630~244), (1~627~416), (1~627~412)", }
4443 
4444 @book{ALL12,
4445         author = "Alling, Norman ",
4446         title = "Collected papers of {N}orman {A}lling",
4447         series = " Queen's Papers in Pure and Appl. Math., 107",
4448         publisher = "Queen's University", 
4449         address = "Kingston, ON",
4450         year = 1998,
4451         note = "MathSciNet review: 1 629 912 ", }
4452 
4453 @article{RIB34,
4454         author = "Ribenboim, Paulo",
4455         title = "Multiplicative structures on power series and the construction
4456                 of skewfields",
4457         journal = "J. Algebra",
4458         year = 1996,
4459         volume = 185,
4460         number = 2,
4461         pages = "267--297",
4462         note = "MathSciNet review: 98d:16054 ", }
4463 
4464 @article{PC-RIB12,
4465         author = "Prie{\ss}-Crampe, Sibylla and Ribenboim, Paulo",
4466         title = "Homogeneous ultrametric spaces, semi-valued groups and fields.",
4467         journal = "C. R. Math. Rep. Acad. Sci. Canada ",
4468         year = 1996,
4469         volume = 18,
4470         number = 1,
4471         pages = "1--16",
4472         note = "MathSciNet review: 97a:54032", }
4473 
4474 @article{RIB35,
4475         author = "Ribenboim, Paulo",
4476         title = "Ordering the set of antichains of an ordered set",
4477         journal = "Collect. Math.",
4478         year = 1995,
4479         volume = 46,
4480         number = "1-2",
4481         pages = "159--170",
4482         note = "MathSciNet review: 97a:06006 ", }
4483 
4484 @article{GLA-RIB,
4485         author = "Glass, A. M. W. and Ribenboim, Paulo",
4486         title = "Automorphisms of the ordered multiplicative
4487                 group of positive rational numbers",
4488         journal = " Proc. Amer. Math. Soc.",
4489         year = 1994,
4490         volume = 122,
4491         number = 1,
4492         pages = "15--18",
4493         note = "MathSciNet review: 96d:06021", }
4494 
4495 @article{RIB-KON,
4496         author = " Ribenboim, Paulo and Kong, Tat Yung",
4497         title = "Chaining partially ordered sets",
4498         journal = "C. R. Acad. Sci. Paris S{\'e}r. I Math",
4499         year = 1994,
4500         volume = 319,
4501         number = 6,
4502         pages = "533--537",
4503         note = "MathSciNet review: 95g:06007 ", }
4504 
4505 @article{RIB38,
4506         author = "Ribenboim, Paulo",
4507         title = "Noetherian rings of generalized power series",
4508         journal = "J. Pure Appl. Algebra",
4509         year = 1992,
4510         volume = 79,
4511         number = 3,
4512         pages = "293--312",
4513         note = "MathSciNet review: 93e:13042", }
4514 
4515 @article{RIB39,
4516         author = "Ribenboim, Paulo",
4517         title = "The local Fermat problem: $p$-adic methods and their
4518                 applications",
4519         journal = "Oxford Sci. Publ.",
4520         year = 1992,
4521         pages = "73--90",
4522         note = "MathSciNet review: 93e:11038 ", }
4523 
4524 @inbook{BOU1,
4525         author = "Bourbaki, Nicholas",
4526         title = "Communative Algebra",
4527         chapter = 6,
4528         publisher = "Hermann",
4529         address = "Paris",
4530         year = 1964,  }
4531 
4532 @article{MACL2,
4533         author = "MacLane, Saunders",
4534         title = "The uniqueness of power series
4535            representations of certain fields with valuations",
4536         journal = "Ann. of Math.",
4537         year = 1938,
4538         volume = 39,
4539         pages = "370--382", }
4540 
4541 @article{COH-ZA,
4542         author = "Cohen, Irving S. and Zariski, Oscar",
4543         title = "A fundamental inequality in the theory
4544                  of extensions of valuations",
4545         journal = "Illinois J. Math.",
4546         year = 1957,
4547         volume = 1,
4548         pages = "1-8",
4549         note = "MathSciNet review: 18,788e",  }
4550 
4551 @book{HAS2,
4552         author = "Hasse, Helmut",
4553         title = "Zahlentheorie",
4554         publisher = "Akademie Verlag",
4555         year = 1949,   }
4556 
4557 @inbook{BOU3,
4558         author = "Bourbaki, Nicholas",
4559         title = "Alg{\`e}bre",
4560         publisher = "Hermann {\&} Cie",
4561         year = 1952,
4562         address = "Paris",
4563         chapter = 6,
4564         series = "Groupes Ordonn{\'e}s",  }
4565 
4566 @article{CON,
4567         author = "Conrad, P.F.",
4568         title = "Embedding Theorems for abelian groups with valuations",
4569         journal = "Amer. J. Math.",
4570         volume = 75,
4571         year = 1953,
4572         pages = "1--29",  }
4573 
4574 @article{ZEL1,
4575         author = "Zelinsky, Daniel",
4576         title = "Linearly compact modules and rings",
4577         journal = "Amer. J. Math.",
4578         volume = 75,
4579         year = 1953,
4580         pages = "79--90",  }
4581 
4582 @article{CHEV2,
4583         author = "Chevalley, Claude",
4584         title = "Algebrai {F}unctions of {O}ne {V}ariable. {M}ath {S}urveys {VI}",
4585         journal = "Amer. Math. Soc.",
4586         year = 1953,  }
4587 
4588 @article{MAH1,
4589         author = "Mahler, Kurt",
4590         title = "Uber {P}seudobewertungen {I}",
4591         journal = "Acta. Math.",
4592         volume = 66,
4593         year = 1936,
4594         pages = "79--119",  }
4595 
4596 @book{AR1,
4597         author = "Artin, Emil",
4598         title = "Algebraic numbers and algebraic functions",
4599         publisher = "Gordon and Breach",
4600         year = 1967,
4601         address = "New York-London-Paris",
4602         note = "European Mathematical Society review: 194.35301",  }
4603 
4604 @article{SCHM,
4605         author = "Schmidt, Friederich Karl",
4606         title = "Mehrfach perfekte {K}{\"o}rper",
4607         journal = "Math. Ann.",
4608         volume = 108,
4609         year = 1933,
4610         pages = "1--25",  }
4611 
4612 @article{NEU1,
4613         author = "Neukirch, J{\"u}rgen",
4614         title = "Kennzeichnung der $p$-adischen und der endlichen
4615                 algebraischen {Z}ahlk{\"o}rper",
4616         journal = "Invent. Math.",
4617         volume = 6,
4618         year = 1969,
4619         pages = "296--314", 
4620         note = "MathSciNet review:  39 {\#}5528",  }
4621 
4622 @article{NEU2,
4623         author = "Neukirch, J{\"u}rgen",
4624         title = "Zur {V}erzweigungstheorie der allgemeinen {K}rullschen
4625                 {B}ewertungen",
4626         journal = "Abh. Math. Sem. Univ. Hamburg",
4627         volume = 32,
4628         year = 1968,
4629         pages = "207--215", 
4630         note = "MathSciNet review:   38 {\#}3254 ",  }
4631 
4632 
4633 @article{POP-POP1,
4634         author = "Popescu, Liliana and Popescu, Nicolae",
4635         title = "Sur la d{\'e}finition des prolongements r{\'e}siduels
4636                 transcendents d'une valuation sur un corps ${K}$ {\`a} ${K(X)}$",
4637         journal = "Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.)",
4638         volume = "33(81)",
4639         number = 3,
4640         year = 1989,
4641         pages = "257--264",
4642         note = "MathSciNet review: 92b:12012",  }
4643 
4644 @article{POPN1,
4645         author = "Popescu, Nicolae",
4646         title = "Sur une classe de polyn{\^o}mes irr{\'e}ductibles",
4647         journal = "C.~R.~Acad. Sci. Paris S{\'e}r. I Math",
4648         volume = 297,
4649         number = 1,
4650         year = 1983,
4651         pages = "9--11",
4652         note = "MathSciNet review: 85a:12005",  }
4653 
4654 @article{POPN-ZAH1,
4655         author = "Popescu, Nicolae and Zaharescu, Alexandru",
4656         title = "On the structure of the irreducible polynomials over local fields",
4657         journal = "J. Number Theory",
4658         volume = 52,
4659         number = 1,
4660         year = 1995,
4661         pages = "98--118",
4662         note = "MathSciNet review: 96c:12002",  }
4663 
4664 @incollection{KRAS1,
4665         author = "Krasner, Marc",
4666         title = "Nombre des extensions d'un degre donne d'un corps p-adique",
4667         booktitle = "Le tendences geometriques en algebre et theorie des nombres",
4668         series = "Colloques Int. Centre nat. Rech. Sci",
4669         year = "1966",
4670         pages = "143--169",
4671         publisher = "Clermont-Ferand",
4672         note = "European Mathematical Society review: 143.06403",  }
4673 
4674 @unpublished{POPN-ZAH2,
4675         author = "Popescu, Nicolae and Zaharescu, Alexandru",
4676         title = "On the roots of a class of lifting polynomials",
4677         note = "[unpublished paper]",  }
4678 
4679 @article{POPN-ZAH3,
4680         author = "Popescu, Nicolae and Zaharescu, Alexandru",
4681         title = "On a class of valuations on $K(X)$",
4682         journal = "An. {\c{S}}tiin{\c{t}}. Univ. Ovidius Constan{\c{t}}a Ser. Mat.",
4683         volume = 2,
4684         year = 1994,
4685         pages = "120--136",
4686         note = "MathSciNet review: 96k:13001",  }
4687 
4688 @book{JUN,
4689         author = "Jung, H.W.E.",
4690         title = "Einfuhrung indie theorie der algebraischen functionen 
4691                 zweier verranderlicher",
4692         publisher = "Academie-Verlag",
4693         address = "Berlin",
4694         year = 1951,  }
4695 
4696 @article{POPN-VRA,
4697         author = "Popescu, Nicolae and Vraciu, Constantin",
4698         title = "On the extension of valuations on a field ${K}$ to ${K(X)}$ {I}. ",
4699         journal = "Rend. Sem. Mat. Univ. Padova",
4700         volume = 87,
4701         year = 1992,
4702         pages = "151--168",
4703         note = "MathSciNet review: 93i:12013",  }
4704 
4705 @article{ZAR1,
4706         author = "Zariski, Oscar",
4707         title = "The reduction of the singularities of an algebraic surface ",
4708         journal = "Ann. of Math.",
4709         volume = 40,
4710         year = 1939,
4711         pages = "639--689",
4712         note = "MathSciNet review: 1,26d ",  }
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4714 @article{AL-POPN-POPA,
4715         author = "Alexandru, Victor and Popescu, Nicolae and Popescu, Angel",
4716         title = "Completion of r.t. extensions of local fields {I}",
4717         journal = "Math.~Z. ",
4718         year = 1996,
4719         volume = 221,
4720         number = 4,
4721         pages = "675--682 ",
4722         note = "MathSciNet review:  97d:12008", }
4723 
4724 @article{AL-POPN2,
4725         author = "Alexandru, Victor and Popescu, Nicolae",
4726         title = "Some elementary remarks about $n$-local fields",
4727         journal = "Rend. Sem. Mat. Univ. Padova",
4728         year = 1994,
4729         volume = 92,
4730         pages = "17--28",
4731         note = "MathSciNet review: 96c:12013", }
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4733 @article{GRE3,
4734         author = "Green, Barry",
4735         title = "Immediate extensions of valuation rings",
4736         journal = "Arch. Math.",
4737         year = 1989,
4738         volume = 53,
4739         pages = "146--150",
4740         note = "European Mathematical Society review: 682.13005", }
4741 
4742 @article{ER10,
4743         author = "Ershov, Yu.L.",
4744         title = "Boolean families of valuation rings",
4745         journal = "Algebra and Logic",
4746         year = 1992,
4747         volume = 31,
4748         number = 3,
4749         pages = "170--181",
4750         note = "[Translation from Algebra i Logika 31, No.3, 276-296
4751                 (1992)]. European Mathematical Society review: 791.12004", }
4752 
4753 @article{ER11,
4754         author = "Ershov, Yuri L.",
4755         title = "Relative regular closedness and $\pi$-valuations",
4756         journal = "Algebra and Logic",
4757         year = 1992,
4758         volume = 31,
4759         number = 6,
4760         pages = "342--360",
4761         note = "[Translation from Algebra i Logika 31, No.6, 592-623 (1992)].
4762                  European Mathematical Society review: 791.12005", }
4763 
4764 @article{ER12,
4765         author = "Ershov, Yuri L.",
4766         title = "Undeciability of certain fields",
4767         journal = "Soviet Math. Dokl.",
4768         year = 1965,
4769         volume = 161,
4770         number = 1,
4771         pages = "349--352", }
4772 
4773 @article{DEL10,
4774         author = "Delon, Fran{\c{c}}oise",
4775         title = "Definissabilite avec parametres exterieurs dans 
4776                 ${Q}_p$ et ${R}$",
4777         journal = "Proc. Amer. Math. Soc.",
4778         year = 1989,
4779         volume = 106,
4780         number = 1,
4781         pages = "193-198",
4782         note = "European Mathematical Society review: 726.03028", }
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4784 @article{DEL11,
4785         author = "Delon, Fran{\c{c}}oise",
4786         title = "Indecidabilite de la theorie des paires immediates
4787                  de corps values henseliens",
4788         journal = "J. Symbolic Logic",
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4790         volume = 56,
4791         number = 4,
4792         pages = "1236-1242",
4793         note = "European Mathematical Society review: 746.03028", }
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4795 @article{FACC1,
4796         author = "Facchini, Alberto",
4797         title = "Torsion-free covers and pure-injective envelopes over
4798                 valuation domains",
4799         journal = "Israel J. Math.",
4800         year = 1985,
4801         volume = 52,
4802         number = "1-2",
4803         pages = "1129--139",
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4806 @article{EFR1,
4807         author = "Efrat, Ido",
4808         title = "On the model companion
4809                  for $e$-fold $p$-adically valued fields",
4810         journal = "Manuscripta Math.",
4811         year = 1991,
4812         volume = 73,
4813         number = 4,
4814         pages = "359--371",
4815         note = "MathSciNet review:  93a:12012 ", }
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4818         author = "Efrat, Ido",
4819         title = "On virtually projective groups",
4820         journal = "Michigan Math. J.",
4821         year = 1995,
4822         volume = 42,
4823         number = 3,
4824         pages = "435--447",
4825         note = "MathSciNet review:  96i:12005", }
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4827 @article{VAM1,
4828         author = "V{\'a}mos, Peter",
4829         title = "Kaplansky fields and $p$-algebraically closed fields",
4830         journal = "Comm. Algebra",
4831         year = 1999,
4832         volume = 27,
4833         number = 2,
4834         pages = "629--643",
4835         note = "MathSciNet review:  1 671 954", }
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4837 @article{VAM2,
4838         author = "V{\'a}mos, Peter",
4839         title = "Decomposition problems for modules over valuation domains",
4840         journal = "J. London Math. Soc. (2)",
4841         year = 1990,
4842         volume = 41,
4843         number = 1,
4844         pages = "10--26",
4845         note = "MathSciNet review:  91g:13011", }
4846 
4847 @article{DL1,
4848         author = "Denef, Jan and Loeser, Fran{\c{c}}ois",
4849         title = "Germs of arcs on singular algebraic varieties and motivic
4850                 integration",
4851         journal = "Invent. Math.",
4852         year = 1999,
4853         volume = 135,
4854         number = 1,
4855         pages = "201--232",
4856         note = "MathSciNet review:  1 664 700", }
4857 
4858 @article{DL2,
4859         author = "Denef, Jan and Loeser, Fran{\c{c}}ois",
4860         title = "Motivic {I}gusa zeta functions",
4861         journal = "J. Algebraic Geom.",
4862         year = 1998,
4863         volume = 7,
4864         number = 3,
4865         pages = "505--537",
4866         note = "MathSciNet review:  1 618 144", }
4867 
4868 @article{DEN2,
4869         author = "Denef, Jan ",
4870         title = "Poles of $p$-adic complex powers and Newton polyhedra",
4871         journal = "Nieuw Arch. Wisk. (4)",
4872         year = 1995,
4873         volume = 13,
4874         number = 3,
4875         pages = "289--295",
4876         note = "MathSciNet review:  96m:11106", }
4877 
4878 @article{LIP1,
4879         author = "Lipshitz, Leonard",
4880         title = "$p$-adic zeros of polynomials",
4881         journal = "J. Reine Angew. Math.",
4882         year = 1988,
4883         volume = 390,
4884         pages = "208--214",
4885         note = "MathSciNet review:  90d:11131", }
4886 
4887 @article{BDL2,
4888         author = "Becker, Joseph and Denef, Jan and Lipshitz, Leonard",
4889         title = "The approximation property for some $5$-dimensional Henselian rings",
4890         journal = "Trans. Amer. Math. Soc.",
4891         year = 1983,
4892         volume = 276,
4893         number = 1,
4894         pages = "301--309",
4895         note = "MathSciNet review:  84j:13027", }
4896 
4897 @article{BL1,
4898         author = "Becker, Joseph and Lipshitz, Leonard",
4899         title = "Remarks on the elementary theories of formal and convergent power series",
4900         journal = "Fund. Math.",
4901         year = "1979/80",
4902         volume = 105,
4903         number = 3,
4904         pages = "229--239",
4905         note = "MathSciNet review:  82i:14004a", }
4906 
4907 @article{DE-LI1,
4908         author = "Denef, Jan and Lipshitz, Leonard",
4909         title = "Ultraproducts and approximation in local rings {II}",
4910         journal = " Math. Ann.",
4911         year = 1980,
4912         volume = 253,
4913         number = 1,
4914         pages = "1--28",
4915         note = "MathSciNet review:  82g:13021", }
4916 
4917 @article{BDLV,
4918         author = "Becker, Joseph and Denef, Jan and Lipshitz, Leonard and van den Dries, Lou",
4919         title = "Ultraproducts and approximations in local rings {I}",
4920         journal = "Invent. Math.",
4921         year = 1979,
4922         volume = 51,
4923         number = 2,
4924         pages = "189--203",
4925         note = "MathSciNet review:  80k:14009", }
4926 
4927 @article{FES1,
4928         author = "Fesenko, Ivan B.",
4929         title = "On deeply ramified extensions",
4930         journal = "J. London Math. Soc. (2)",
4931         year = 1998,
4932         volume = 57,
4933         number = 2,
4934         pages = "325--335",
4935         note = "MathSciNet review:  1 644 189", }
4936 
4937 @inbook{FES2,
4938         author = "Fesenko, Ivan B.",
4939         title = "Abelian extensions of complete discrete
4940                  valuation fields. {N}umber theory",
4941         series = "London Math. Soc. Lecture Note Ser.",
4942         publisher = "Cambridge Univ. Press",
4943         year = 1996,
4944         volume = 235,
4945         pages = "47--74",
4946         note = "MathSciNet review:  99d:11128", }
4947 
4948 @article{FES3,
4949         author = "Fesenko, Ivan B.",
4950         title = "On general local reciprocity maps",
4951         journal = "J. Reine Angew. Math.",
4952         year = 1996,
4953         volume = 473,
4954         pages = "207--222",
4955         note = "MathSciNet review:  97b:11141", }
4956 
4957 @article{FES4,
4958         author = "Fesenko, Ivan B.",
4959         title = "On norm subgroups of complete discretely valued fields",
4960         journal = "Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom.",
4961         year = 1993,
4962         volume = 124,
4963         number = 2,
4964         pages = "54--57",
4965         note = "[translation in Vestnik St. Petersburg Univ.
4966                  Math. 26 (1993), no. 2, 47--49]  MathSciNet
4967                  review:  97a:11190", }
4968 
4969 @article{FES5,
4970         author = "Fesenko, Ivan B.",
4971         title = "Hasse-Arf property and abelian extensions",
4972         journal = "Math. Nachr.",
4973         year = 1995,
4974         volume = 174,
4975         pages = "81--87",
4976         note = " MathSciNet review:  96f:11152", }
4977 
4978 @article{FES6,
4979         author = "Fesenko, Ivan B.",
4980         title = "Abelian local $p$-class field theory",
4981         journal = "Math. Ann.",
4982         year = 1995,
4983         volume = 301,
4984         number = 3,
4985         pages = "561--586",
4986         note = " MathSciNet review:  96b:11154", }
4987 
4988 @article{FES7,
4989         author = "Fesenko, Ivan B.",
4990         title = "Local class field theory: the perfect residue field case",
4991         journal = "Izv. Ross. Akad. Nauk Ser. Mat.",
4992         year = 1993,
4993         volume = 57,
4994         number = 4,
4995         pages = "72--91",
4996         note = " MathSciNet review:  94h:11107", }
4997 
4998 @article{FES8,
4999         author = "Fesenko, Ivan B.",
5000         title = "Convergence of a block asynchronous process",
5001         journal = "Vestnik Leningrad. Univ. Mat. Mekh. Astronom.",
5002         year = 1991,
5003         volume = 133,
5004         number = 3,
5005         pages = "59--63",
5006         note = "[translation in Vestnik Leningrad Univ. Math.
5007                  24 (1991), no. 3, 55--58]  MathSciNet review:
5008                   94g:15022", }
5009 
5010 @book{FES-VOS1,
5011         author = "Fesenko, Ivan B. and Vostokov, S. V.",
5012         title = "Local fields and their extensions. A constructive
5013                 approach. With a foreword by I. R. Shafarevich.",
5014         series = "Transl. Math. Monographs",
5015         publisher = "Amer. Math. Soc.",
5016         year = 1993,
5017         volume = 121,
5018         address = "Providence, RI",
5019         note = "MathSciNet review: 94d:11095", }
5020 
5021 @article{FES-VOS2,
5022         author = "Fesenko, Ivan B. and Vostokov, S. V.",
5023         title = "Basic concepts in class field theory and 
5024                 reciprocity laws",
5025         journal = "Math. Today",
5026         year = 1990,
5027         volume = 6,
5028         pages = "8--31",
5029         note = "MathSciNet review: 93m:11124", }
5030 
5031 @article{FES9,
5032         author = "Fesenko, Ivan B.",
5033         title = "A multidimensional local theory of class fields {II}",
5034         journal = "Algebra i Analiz",
5035         year = 1991,
5036         volume = 3,
5037         number = 5,
5038         pages = "168--189",
5039         note = "[translation in St. Petersburg Math. J. 3 (1992),
5040                  no. 5, 1103--1126]  MathSciNet review: 93k:11110", }
5041 
5042 @article{FES10,
5043         author = "Fesenko, Ivan B.",
5044         title = "Theory of local fields. {L}ocal class field theory.
5045                 {M}ultidimensional local class field theory",
5046         journal = "Algebra i Analiz",
5047         year = 1992,
5048         volume = 4,
5049         number = 3,
5050         pages = "1--41",
5051         note = "MathSciNet review: 93i:11138", }
5052 
5053 @article{FES11,
5054         author = "Fesenko, Ivan B.",
5055         title = "Class field theory of multidimensional local fields of
5056                  characteristic $0$ with residue field of positive characteristic",
5057         journal = "Algebra i Analiz",
5058         year = 1991,
5059         volume = 3,
5060         number = 3,
5061         pages = "165--196",
5062         note = "[translation in St. Petersburg Math. J. 3 (1992),
5063                  no. 3, 649--678] MathSciNet review: 93e:11146", }
5064 
5065 @article{FES12,
5066         author = "Fesenko, Ivan B.",
5067         title = "A multidimensional local theory of class fields",
5068         journal = "Dokl. Akad. Nauk SSSR",
5069         year = 1991,
5070         volume = 318,
5071         number = 1,
5072         pages = "47--50",
5073         note = "MathSciNet review: 92h:19008", }
5074 
5075 @inbook{FES13,
5076         author = "Fesenko, Ivan B.",
5077         title = "On class field theory of multidimensional local fields
5078                  of positive characteristic. {A}lgebraic $K$-theory",
5079         series = "Adv. Soviet Math.",
5080         year = 1991,
5081         volume = 4,
5082         publisher = "Amer. Math. Soc.",
5083         address = "Providence, RI",
5084         pages = "103--127",
5085         note = "MathSciNet review: 92f:11167", }
5086 
5087 @article{FES-VOS-ZHU,
5088         author = "Fesenko, Ivan B. and Vostokov, S. V. and Zhukov, I. B.",
5089         title = "On the theory of multidimensional local fields. Methods
5090                  and constructions",
5091         journal = "Algebra i Analiz",
5092         year = 1990,
5093         volume = 2,
5094         number = 4,
5095         pages = "91--118",
5096         note = "[translation in Leningrad Math. J. 2 (1991), no. 4, 775--800]
5097                  MathSciNet review: 91m:11105", }
5098 
5099 @article{FES14,
5100         author = "Fesenko, Ivan B.",
5101         title = "$K$-groups of a multidimensional local field",
5102         journal = "Ukrain. Mat. Zh.",
5103         year = 1989,
5104         volume = 41,
5105         number = 2,
5106         pages = "266--268, 289",
5107         note = "MathSciNet review: 90c:11089", }
5108 
5109 @article{FES15,
5110         author = "Fesenko, Ivan B.",
5111         title = "The generalized {H}ilbert symbol in the $2$-adic case",
5112         journal = "Vestnik Leningrad. Univ. Mat. Mekh. Astronom.",
5113         year = 1985,
5114         volume = 124,
5115         number = 4,
5116         pages = "112--114",
5117         note = "MathSciNet review: 87g:11159", }
5118 
5119 @inbook{HU-KN,
5120         author = "Huber, Roland and Knebusch, Manfred ",
5121         title = "On valuation spectra. {R}ecent advances in real 
5122                 algebraic geometry and quadratic forms",
5123         publisher = "Amer. Math. Soc.",
5124         address = "Providence, RI",
5125         series = "Contemp. Math.",
5126         year = 1994,
5127         volume = 155,
5128         pages = "167--206",
5129         note = "MathSciNet review: 95f:13002", }
5130 
5131 @book{HUB1,
5132         author = "Huber, Roland",
5133         title = "Bewertungsspektrum und rigide Geometrie",
5134         publisher = "Universit{\"a}t Regensburg, Fachbereich Mathematik",
5135         series = "Regensburger Math. Schriften",
5136         address = "Regensburger",
5137         year = 1993,
5138         volume = 23,
5139         note = "MathSciNet review: 95c:32036", }
5140 
5141 @article{HUB2,
5142         author = "Huber, Roland",
5143         title = "{\'{E}}tale cohomology of {H}enselian rings and cohomology of
5144                  abstract {R}iemann surfaces of fields",
5145         journal = "Math. Ann.",
5146         year = 1993,
5147         volume = 295,
5148         number = 4,
5149         pages = "703--708",
5150         note = "MathSciNet review: 94a:14018", }
5151 
5152 @article{MOT-ROB1,
5153         author = "Motzkin, Elhanan and Robba, Philippe",
5154         title = "Ensembles d'analyticit{\'e} en analyse $p$-adique",
5155         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
5156         year = 1969,
5157         volume = 269,
5158         pages = "A450--A453",
5159         note = "MathSciNet review: 42 {\#}3311", }
5160 
5161 @article{ROB1,
5162         author = "Robba, Philippe",
5163         title = "Prolongement analytique en analyse ultram{\'e}trique",
5164         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
5165         year = 1972,
5166         volume = 274,
5167         pages = "A830--A833",
5168         note = "MathSciNet review: 45 {\#}2211", }
5169 
5170 @book{ROB-CHR,
5171         author = "Robba, Philippe and Christol, Gilles",
5172         title = " {\'{E}}quations diff{\'e}rentielles $p$-adiques. 
5173                 {A}pplications aux sommes exponentielles",
5174         series = "Actualit{\'e}s Math.",
5175         publisher = "Herman",
5176         address = "Paris",
5177         year = 1994,
5178         note = "MathSciNet review:  97g:12005",  }
5179 
5180 @book{DWO,
5181         author = "Dwork, B.",
5182         title = " Work of Philippe Robba. $p$-adic analysis",
5183         series = "Lecture Notes in Math.",
5184         publisher = "Springer",
5185         address = "Berlin",
5186         year = 1990,
5187         volume = 1454,
5188         note = "MathSciNet review:  92d:01041",  }
5189 
5190 @article{BEL-ROB1,
5191         author = "B{\'e}zivin, Jean-Paul and Robba, Philippe",
5192         title = "A new $p$-adic method for proving irrationality
5193                 and transcendence results",
5194         journal = "Ann. of Math. (2)",
5195         year = 1989,
5196         volume = 129,
5197         number = 1,
5198         pages = "151--160",
5199         note = "MathSciNet review: 90e:11107", }
5200 
5201 
5202 @article{DWO-ROB1,
5203         author = "Dwork, B. and Robba, Philippe",
5204         title = "Effective $p$-adic bounds for solutions of homogeneous
5205                 linear differential equations",
5206         journal = "Trans. Amer. Math. Soc.",
5207         year = 1980,
5208         volume = 259,
5209         number = 2,
5210         pages = "559--577",
5211         note = "MathSciNet review: 81k:12022", }
5212 
5213 @book{AMI,
5214         author = "Amice, Yvette",
5215         title = "Les nombres $p$-adiques",
5216         publisher = "Presses Universitaires de France",
5217         address = "Paris",
5218         year = 1975,
5219         series = "Collection SUP: Le Math{\'e}maticien, No.14",
5220         note = "MathSciNet review: 56 {\#}5510",  }
5221 
5222 @article{MAR-END,
5223         author = "Marques, Cristina Maria and Endler, Otto",
5224         title = "$p$-adic holomorphy rings and {K}ochen rings",
5225         journal = " J. Pure Appl. Algebra",
5226         year = 1995,
5227         volume = 98,
5228         number = 1,
5229         pages = "57--65",
5230         note = "MathSciNet review: 95m:12006", }
5231 
5232 @inproceedings{END9,
5233         author = "Endler, Otto",
5234         title = "On Henselian valuations ({P}ortuguese)",
5235         booktitle = "Proc. Ninth Brazilian Math. Colloq.",
5236         Publisher = "Inst. Mat. Pura Apl.", 
5237         address = "S{\~a}o Paulo",
5238         year = 1977,
5239         volume = 1,
5240         pages = "149--154",
5241         note = "MathSciNet review: 80k:12035", }
5242 
5243 @article{END10,
5244         author = "Endler, Otto",
5245         title = "Finite separable field extensions with prescribed
5246                  extensions of valuations {II}",
5247         journal = "Manuscripta Math.",
5248         year = 1975,
5249         volume = 17,
5250         number = 4,
5251         pages = "383--408",
5252         note = "MathSciNet review: 53 {\#}380", }
5253 
5254 @inproceedings{END11,
5255         author = "Endler, Otto",
5256         title = "An existence theorem in the theory of algebraic number
5257                  fields of infinite order ({P}ortuguese)",
5258         booktitle = "Proc. Ninth Brazilian Math. Colloquium",
5259         publisher = "Conselho Nacional de Pesquisas",
5260         address = "S{\~a}o Paulo",
5261         year = 1965,
5262         pages = "113--115",
5263         note = "MathSciNet review: 35 {\#}161", }
5264 
5265 @inproceedings{END12,
5266         author = "Endler, Otto",
5267         title = "On the continuity of the roots of polynomials. ({P}ortuguese)",
5268         booktitle = "Proc. Fifth Brazilian Math. Colloquium (1965) (Portuguese)",
5269         publisher = "Conselho Nacional de Pesquisas",
5270         address = "S{\~a}o Paulo",
5271         year = 1965,
5272         pages = "59--70",
5273         note = "MathSciNet review: 34~{\#}7500", }
5274 
5275 @inbook{FES16,
5276         author = "Fesenko, Ivan B.",
5277         title = "Complete discrete valuation fields. {A}belian local class
5278                  field theories.",
5279         series = "Handbook of Algebra",
5280         pages = " 221--268",
5281         publisher = "North-Holland",
5282         year = 1996,
5283         volume = 1,
5284         note = "MathSciNet review: 98a:11162",   }
5285 
5286 
5287 @inbook{FES17,
5288         author = "Fesenko, Ivan B.",
5289         title = " A generalized symbol in multidimensional local fields (Russian)",
5290         series = "Rings and modules. Limit theorems of probability theory, No. 2 (Russian)",
5291         pages = " 88--92",
5292         publisher = "Leningrad. Univ.",
5293         year = 1988,
5294         volume = 214,
5295         address = "Leningrad",
5296         note = "MathSciNet review: 90d:11133",   }
5297 
5298 @inbook{VOS-FES3,
5299         author = "Vostokov, S. V. and Fesenko, Ivan B.",
5300         title = " Torsion in Milnor's higher functors for multidimensional
5301                  local fields(Russian)",
5302         series = "Rings and modules. Limit theorems of probability theory, No. 1 (Russian)",
5303         pages = "75--87",
5304         publisher = "Leningrad. Univ.",
5305         year = 1986,
5306         volume = 213,
5307         address = "Leningrad",
5308         note = "MathSciNet review: 88a:11128",   }
5309 
5310 @inproceedings{KN3,
5311         author = "Knebusch, Manfred",
5312         title = "Manis valuations and {P}r{\"u}fer extensions",
5313         booktitle = "Singularities Symposium---\L ojasiewicz 70
5314                  (Krakow, 1996; Warsaw, 1996), 141--146, Banach Center
5315                   Publ., 44",
5316         year = 1998,
5317         publisher = "Polish Acad. Sci.",
5318         address = "Warsaw",
5319         note = "MathSciNet review: 1 677 355", }
5320 
5321 @article{KNE-ZH,
5322         author = "Knebusch, Manfred and  Zhang, Digen",
5323         title = "Manis valuations and {P}r{\"u}fer extensions {I}",
5324         journal = "Doc. Math.",
5325         year = 1996,
5326         volume = 1,
5327         number = 8,
5328         pages = "149--197",
5329         note = "[electronic journal] MathSciNet review: 97d:13001", }
5330 
5331 @book{ROB2,
5332         author = "Robba, Philippe",
5333         title = "Th{\'e}orie de {G}alois $p$-adique (French)",
5334         publisher = "Secr{\'e}tariat Math.",
5335         year = 1977,
5336         series = "Groupe d'{\'{E}}tude d'Analyse Ultram{\'e}trique, 3e ann{\'e}e
5337                  (1975/76), Fasc. 1, Exp. No. 14",
5338         address = "Paris",
5339         note = "MathSciNet review: 58 {\#}16674",   }
5340 
5341 
5342 @book{ROB3,
5343         author = "Robba, Philippe",
5344         title = "Prolongement analytique pour les fonctions de plusieurs
5345                  variables sur un corps valu{\'e}",
5346         publisher = "Secr{\'e}tariat Math.",
5347         year = 1973,
5348         series = "S{\'e}minaire Delange-Pisot-Poitou (13e ann{\'e}e: 1971/72),
5349                  Th{\'e}orie des nombres, Fasc. 1, Exp. No. 6",
5350         address = "Paris",
5351         note = "MathSciNet review: 53 {\#}8489",   }
5352 
5353 @book{MOT-ROB2,
5354         author = "Motzkin, Elhanan and Robba, Philippe",
5355         title = "Ensembles d'analyticité en analyse $p$-adique. ({F}rench)",
5356         publisher = "Secr{\'e}tariat Math.",
5357         year = 1969,
5358         series = "S{\'e}minaire Delange-Pisot-Poitou: 1968/69, 
5359                 Th{\'e}orie des Nombres, Fasc. 1, Exp. 8a",
5360         address = "Paris",
5361         note = "MathSciNet review: 41 {\#}7155 ",   }
5362 
5363 @book{ROB4,
5364         author = "Robba, Philippe",
5365         title = "D{\'e}composition en {\'e}l{\'e}ments simples
5366                  d'une fonction analytique sur un corps ultram{\'e}trique.
5367                 {A}pplication au prolongement analytique. ({F}rench)",
5368         publisher = "Secr{\'e}tariat Math.",
5369         year = 1970,
5370         series = "S{\'e}minaire Delange-Pisot-Poitou (11e ann{\'e}e (1969/70)),
5371                  Th{\'e}orie des nombres, Fasc. 2, Exp. 22",
5372         address = "Paris",
5373         note = "MathSciNet review: 45 {\#}1848",   }
5374 
5375 @book{ROB5,
5376         author = "Robba, Philippe",
5377         title = "Lemmes de {H}ensel pour les op{\'e}rateurs diff{\'e}rentiels
5378                  et les op{\'e}rateurs aux diff{\'e}rences 
5379                   (d'apr{\'e}s {A}. {D}uval). ({F}rench)",
5380         series = "Algebra colloquium (Rennes, 1985)",
5381         publisher = "10--24, Univ. Rennes I",
5382         address = "Rennes",
5383         year = 1985,
5384         pages = "10--24",
5385         note = "MathSciNet review: 88a:12008", }
5386 
5387 @book{ROB6,
5388         author = "Robba, Philippe",
5389         title = "Philippe {L}emme de {H}ensel pour les op{\'e}rateurs diff{\'e}rentiels. (French)
5390                 {D}'apr{\'e}s un travail en commun avec {B}. {D}work",
5391         publisher = "Secr{\'e}tariat Math.",
5392         year = 1975,
5393         series = "Groupe d'{\'{E}}tude d'Analyse Ultram{\'e}trique, 2e ann{\'e}e
5394                  (1974/75), Exp. No. 16",
5395         address = "Paris",
5396         note = "MathSciNet review: 58 {\#}27989c",  }
5397 
5398 @article{TEI1,  
5399         author = "Teichm{\"u}ller, Oswald",
5400         title = "Discret bewertete perfecte {K}{\"o}rper mit
5401                  unvollkommenen {R}estlassenk{\"o}rper",
5402         journal = "J. Reine Angew. Math.",
5403         volume = 176,
5404         year = 1936,
5405         pages = "141-152",  }
5406 
5407 @article{VDPOOR,        
5408         author = " Van der Poorten, A. J. ",
5409         title = "$p$-adic methods in the study of {T}aylor coefficients
5410                  of rational functions",
5411         journal = "Bull. Austral. Math. Soc.",
5412         volume = 29,
5413         number = 1,
5414         year = 1984,
5415         pages = "109--117",
5416         note = "MathSciNet review: 86g:11073",  }
5417 
5418 @article{MYA-REM,       
5419         author = " Myasnikov, A. G. and Remeslennikov, V. N.",
5420         title = " Recursive $p$-adic numbers and elementary theories of
5421                  finitely generated pro-$p$-groups. ({R}ussian)",
5422         journal = " Izv. Akad. Nauk SSSR Ser. Mat.",
5423         volume = 51,
5424         number = 3,
5425         year = 1987,
5426         pages = "613--634",
5427         note = "[translation in Math. USSR-Izv. 30 (1988), no. 3, 577--597]
5428                 MathSciNet review: 89c:20044",  }
5429 
5430 @article{BIE-GRO,       
5431         author = "Bieri, Robert and Groves, J. R. J.",
5432         title = " The geometry of the set of characters induced by valuations",
5433         journal = "J. Reine Angew. Math.",
5434         volume = 347,
5435         year = 1984,
5436         pages = "168--195",
5437         note = "MathSciNet review: 86c:14001 ",  }
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5439 @article{VDP2,  
5440         author = "van der Put, Marius",
5441         title = "Continuous derivations of valued fields",
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5443         volume = 101,
5444         year = 1973,
5445         pages = "71--112", }
5446 
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5449         title = "Zero-dimensional branches of rank one on algebraic varieties",
5450         journal = "Ann. of Math",
5451         volume = 40,
5452         year = 1939,
5453         pages = " 507--520", 
5454         note = "MathSciNet review: 1,26c", }
5455 
5456 @unpublished{WITT1,
5457         author = "Witt, Ernst",
5458         title = "Schiefk{\"o}rper {\"u}ber diskret bewerteten {K}{\"o}rpern",
5459         note = "[unpublished paper]",
5460         year = 1936,  }
5461 
5462 @article{TRA,   
5463         author = "Transier, Ren{\'e} ",
5464         title = "Verallgemeinerte formal $p$-adische K{\"o}rper ",
5465         journal = "Arch. Math. (Basel) ",
5466         volume = 32,
5467         year = 1979,
5468         number = 6,
5469         pages = " 572--584", 
5470         note = "MathSciNet review: 80m:12030 ", }
5471 
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5473         author = "Deck, K. and Harrison, D. K.",
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5475         journal = "J. Algebra ",
5476         volume = 143,
5477         year = 1991,
5478         number = 2,
5479         pages = " 470--486", 
5480         note = "MathSciNet review:  93b:12008", }
5481 
5482 @unpublished{BEL4,
5483         author = "B{\'e}lair, Luc",
5484         title = "Types dans les corps valu{\'e}s
5485                  munis d'applications coefficients",
5486         year = 1998,
5487         note = "[to appear in Illinois J. Math.]",  }
5488 
5489 @article{RIB36, 
5490         author = "Ribenboim, Paulo",
5491         title = "Some examples of lattice-orders in real closed fields",
5492         journal = "Arch. Math. (Basel)",
5493         volume = 61,
5494         year = 1993,
5495         number = 1,
5496         pages = "59--63", 
5497         note = "MathSciNet review:  94e:12005", }
5498 
5499 @article{RIB40, 
5500         author = "Ribenboim, Paulo",
5501         title = "Infinite families of nonprincipal prime ideals",
5502         journal = "Hiroshima Math. J.",
5503         volume = 22,
5504         year = 1992,
5505         number = 1,
5506         pages = "125--127", 
5507         note = "MathSciNet review:   93k:13005", }
5508 
5509 @article{RIB41, 
5510         author = "Ribenboim, Paulo",
5511         title = "The ascending chain condition for real ideals",
5512         journal = "Manuscripta Math.",
5513         volume = 57,
5514         year = 1986,
5515         number = 1,
5516         pages = "109--124", 
5517         note = "MathSciNet review:  87k:13027", }
5518 
5519 @article{RIB42, 
5520         author = "Ribenboim, Paulo",
5521         title = "Remarks on existentially closed fields and {D}iophantine
5522                 equations",
5523         journal = "Rend. Sem. Mat. Univ. Padova",
5524         volume = 71,
5525         year = 1984,
5526         pages = "229--237", 
5527         note = "MathSciNet review:  86h:12009", }
5528 
5529 @incollection{BEN-RIB1, 
5530         author = "Benhissi, A. and Ribenboim, Paulo",
5531         title = "Ordered rings of generalized power series",
5532         booktitle = "Ordered algebraic structures",
5533         publisher = "Kluwer Acad. Publ.",
5534         address = "Dordrecht",
5535         year = 1993,
5536         pages = "99--109", 
5537         note = "MathSciNet review:  95d:06008", }
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5539 @article{PAS4,  
5540         author = "Pas, Johan ",
5541         title = "Local zeta functions and {M}euser's invariant functions",
5542         journal = "J. Number Theory",
5543         volume = 38,
5544         number = 3,
5545         year = 1991,
5546         pages = "287--299", 
5547         note = "MathSciNet review: 92h:11104", }
5548 
5549 
5550 @article{PAS5,  
5551         author = "Pas, Johan ",
5552         title = "Cell decomposition and local zeta functions in a tower
5553                  of unramified extensions of a $p$-adic field",
5554         journal = " Proc. London Math. Soc. (3)",
5555         volume = 60,
5556         number = 1,
5557         year = 1990,
5558         pages = "37--67", 
5559         note = "MathSciNet review:  91g:11143", }
5560 
5561 @phdthesis{HUP,
5562         author = "H{\"u}per, H.J.",
5563         title = "{\"{U}}ber ordnungsvertr{\"a}glich
5564                  bewertete, angeordnete {K}{\"o}rper",
5565         school = "Munich",
5566         year = "1977",  }
5567 
5568 @inproceedings{KU5,
5569         author = "Kuhlmann, Franz-Viktor",
5570         title = "Abelian groups with contractions {II}: weak o-minimality",
5571         booktitle = "Abelian groups and modules",
5572         publisher = "Kluwer Acad. Publ.",
5573         address = "Dordrecht",
5574         series = "Math. Appl.",
5575         pages = "323--342",
5576         year = 1995,  }
5577 
5578 @inproceedings{KU4,
5579         author = "Kuhlmann, Franz-Viktor",
5580         title = "Abelian groups with contractions {I}",
5581         booktitle = " Abelian group theory and related topics",
5582         publisher = "Amer. Math. Soc.",
5583         address = "Providence, RI",
5584         series = "Contemp. Math.",
5585         volume = 171,
5586         pages = "217--241",
5587         year = 1994,  }
5588 
5589 
5590 @book{MAT1a,
5591         author = "Matignon, Michel",
5592         title = "Genre topologique des corps valu{\'e}s. (French)",
5593         publisher = "Secr{\'e}tariat Math.",
5594         year = 1985,
5595         series = "Study Group on Ultrametric Analysis, 11th year,
5596                  1983/84, Exp. No. 14",
5597         address = "Paris",
5598         note = "MathSciNet review: 848 977",   }
5599 
5600 
5601 @inproceedings{MAT1b,
5602         author = "Matignon, Michel",
5603         title = "Genre topologique des corps valu{\'e}s. ({F}rench)",
5604         year = 1983,
5605         booktitle = "Seminar on Number Theory, 1983--1984 (Talence, 
5606                 1983/1984), Exp. No. 1",
5607         note = "MathSciNet review: 784 055",   }
5608 
5609 @article{RIM, 
5610         author = "Rim, Dock Sang",
5611         title = "Relatively complete fields",
5612         journal = "Duke Math. J.",
5613         volume = 24,
5614         year = 1957,
5615         pages = "197--200",   }
5616 
5617 @book{ZA-SA1,
5618         author = "Zariski, Oscar and Samuel, Pierre",
5619         title = "Commutative Algebra {I}",
5620         series = "Graduate Texts in Math.",
5621         publisher = "Springer-Verlag", 
5622         address = "New York-Heidelberg-Berlin",
5623         volume = 28,
5624         year = 1975,
5625         note = "MathSciNet review:  52 {\#}5641",   }
5626 
5627 book{ZA-SA2,
5628         author = "Zariski, Oscar and Samuel, Pierre",
5629         title = "Commutative algebra {II}",
5630         series = "Graduate Texts in Math.",
5631         publisher = "Springer-Verlag", 
5632         address = "New York-Heidelberg-Berlin",
5633         year = 1975,
5634         note = "MathSciNet review:  52 {\#}5641",   }
5635 
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5638         title = "Valuation methods in division rings",
5639         journal = "J. Algebra",
5640         volume = 177,
5641         year = 1995,
5642         number = 3,
5643         pages = "870--898",
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5645 
5646 @incollection{HYO,
5647         author = "Hyodo, Osamu",
5648         title = "Wild ramification in the imperfect residue field case",
5649         booktitle = "Galois representations and arithmetic algebraic 
5650                 geometry",
5651         series = "Adv. Stud. Pure Math.",
5652         publisher = "North-Holland",
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5655         volume = 12,
5656         pages = "287--314",
5657         note = "MathSciNet review: 89j:11116",  }
5658 
5659 @article{LUB,
5660         author = "Lubin, Jonathan",
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5665         number = 3,
5666         pages = "321--346",
5667         note = "MathSciNet review: 96g:11140",   }
5668 
5669 @article{KEA,
5670         author = "Keating, Kevin",
5671         title = "Automorphisms and extensions of $k((t))$",
5672         journal = "J. Number Theory",
5673         volume = 41,
5674         year = 1992,
5675         number = 3,
5676         pages = "314--321",
5677         note = "MathSciNet review: 93d:13015",   }
5678 
5679 @article{KI-RO,
5680         author = "Kim, K. H. and Roush, Fred W.",
5681         title = "Diophantine unsolvability over $p$-adic function fields",
5682         journal = "J. Algebra",
5683         volume = 176,
5684         year = 1995,
5685         number = 1,
5686         pages = "83--110",
5687         note = "MathSciNet review: 96f:11165",   }
5688 
5689 
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5692         title = " Power series solutions of algebraic differential equations",
5693         journal = "Math. Ann.",
5694         volume = 267,
5695         year = 1984,
5696         number = 2,
5697         pages = "213--238",
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5700 @article{MA-MI,
5701         author = "Marker, David and Miller, Chris",
5702         title = "Levelled o-minimal structures. Real algebraic and analytic
5703                  geometry ({S}egovia, 1995)",
5704         journal = "Rev. Mat. Univ. Complut. Madrid",
5705         volume = 10,
5706         year = 1997,
5707         pages = "241--249",
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5709 
5710 @incollection{CHER4,
5711         author = "Cherlin, Gregory L.",
5712         title = "Definability in power series rings of nonzero characteristic",
5713         booktitle = "Models and sets (Aachen, 1983)",
5714         series = "Lecture Notes in Math.",
5715         volume = 1103,
5716         pages = "102--112",
5717         publisher = "Springer", 
5718         address = "Berlin-New York",
5719         year = 1984,   
5720         note = "MathSciNet review: 86h:03059",  }
5721 
5722 @article{HOFB,
5723         author = "Hofberger, Harald",
5724         title = "Real-local fields and the canonical operation of the 
5725                 automorphism group on the space of orderings",
5726         journal = "Comm. Algebra",
5727         volume = 21,
5728         year = 1993,
5729         number = 11,
5730         pages = "4029--4050",
5731         note = "MathSciNet review: 94j:12003",   }
5732 
5733 @unpublished{HSIA1,
5734         author = "Hsia, Liang-Chung",
5735         title = "Closure of Periodic Points Over Nonarchimedean Field",
5736         note = "[preprint]",  }
5737 
5738 @article{LI1,
5739         author = "Li, Hua-Chieh",
5740         title = "$p$-adic periodic points and {S}en's theorem",
5741         journal = "J. Number Theory",
5742         volume = 56,
5743         year = 1996,
5744         number = 2,
5745         pages = "309--318",
5746         note = "MathSciNet review: 96m:11102 ",   }
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5748 @article{ARR-VIV,
5749         author = "Arrowsmith, David K. and Vivaldi, Franco",
5750         title = "Geometry of $p$-adic {S}iegel discs",
5751         journal = "Phys. D.",
5752         volume = 71,
5753         year = 1994,
5754         number = "1-2",
5755         pages = "222--236",
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5757 
5758 @article{COL,
5759         author = "Coleman, Robert F.",
5760         title = "$p$-adic {B}anach spaces and families of modular forms",
5761         journal = "Invent. Math.",
5762         volume = 127,
5763         year = 1997,
5764         number = 3,
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5768 @incollection{GOSS,
5769         author = "Goss, David",
5770         title = "A short introduction to rigid analytic spaces",
5771         booktitle = "The arithmetic of function fields (Columbus, OH, 1991)",
5772         series = "Ohio State Univ. Math. Res. Inst. Publ.",
5773         volume = 2,
5774         publisher = " de Gruyter", 
5775         adress = "Berlin",
5776         pages = "131--141",
5777         year = 1992,
5778         note = "MathSciNet review: 93m:14020",   }
5779 
5780 @incollection{HERM,
5781         author = "Herman, M. and Yoccoz, J.-C.",
5782         title = "Generalizations of some theorems of small divisors to
5783                 non-Archimedean fields",
5784         booktitle = "Geometric dynamics (Rio de Janeiro, 1981)",
5785         series = "Lecture Notes in Math.",
5786         volume = 1007,
5787         publisher = "Springer", 
5788         adress = "Berlin-New York",
5789         pages = "408--447",
5790         year = 1983,
5791         note = "MathSciNet review: 85i:12012",   }
5792   
5793 @article{HSIA2,
5794         author = "Hsia, Liang-Chung",
5795         title = "A weak {N}{\'e}ron model with applications to $p$-adic
5796                  dynamical systems",
5797         journal = "Compositio Math.",
5798         volume = 100,
5799         year = 1996,
5800         number = 3,
5801         pages = "277--304",
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5807         journal = "Compositio Math.",
5808         volume = 100,
5809         year = 1996,
5810         number = 3,
5811         pages = "351--364",
5812         note = "MathSciNet review: 97c:11109",   }
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5814 @article{RA-TO-VI,
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5816         title = "Ultrametricity for physicists",
5817         journal = "Rev. Modern Phys.",
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5824 @article{TATE,
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5826         title = "Rigid analytic spaces",
5827         journal = "Invent. Math.",
5828         volume = 12,
5829         year = 1971,
5830         pages = "257--289",
5831         note = "MathSciNet review: 46 {\#}5323",   }
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5833 @article{TH-VE-WE,
5834         author = "Thiran, E. and Verstegen, D. and Weyers, J.",
5835         title = "$p$-adic dynamics",
5836         journal = "J. Statist. Phys.",
5837         volume = 54,
5838         year = 1989,
5839         number = "3-4",
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5842 
5843 @book{VER,
5844         author = "Verstegen, D.",
5845         title = "$p$-adic dynamical systems",
5846         booktitle = " Number theory and physics (Les Houches, 1989)",
5847         series = " Springer Proc. Phys.",
5848         volume = 47,
5849         pages = " 235--242",
5850         publisher = "Springer", 
5851         address = "Berlin",
5852         year = 1990,   
5853         note = "MathSciNet review: 91m:58140",  }
5854 
5855 @article{VOL,
5856         author = "Volovich, I. V.",
5857         title = "$p$-adic string",
5858         journal = "Classical Quantum Gravity",
5859         volume = 4,
5860         year = 1987,
5861         number = 4,
5862         pages = "L83--L87",
5863         note = "MathSciNet review: 88h:81217",   }
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5865 @unpublished{MAR,
5866         author = "Marshall, Murray",
5867         title = "Orderings, cuts and formal power series",
5868         note = "Manuscript",   
5869         year = 1997,   }
5870 
5871 @article{ADA,
5872         author = "Adachi, Norio",
5873         title = "A valuational interpretation of {K}ummer's
5874                  theory of ideal numbers",
5875         journal = "Proc. Japan Acad. Ser. A Math. Sci.",
5876         volume = 61,
5877         year = 1985,
5878         number = 7,
5879         pages = "235--238",
5880         note = "MathSciNet review: 87b:12007",   }
5881 
5882 @article{ADAM,
5883         author = "Adams, Helen E.",
5884         title = "Filtrations and valuations on rings",
5885         journal = "Pacific J. Math.",
5886         volume = 43,
5887         year = 1972,
5888         pages = "7--14",
5889         note = "MathSciNet review: 47~{\#}6787",   }
5890 
5891 @incollection{AR2,
5892         author = "Artin, Emil",
5893         title = "Algebraic numbers and algebraic functions {I}",
5894         booktitle = "Institute for Mathematics and Mechanics",
5895         publisher = "New York University", 
5896         address = "New York",
5897         year = 1951,
5898         note = "MathSciNet review: 13,628d",  }
5899 
5900 @misc{AR3,
5901         author = "Artin, Emil", 
5902         title = "Theory of algebraic numbers",
5903         note = "Notes by Gerhard W{\"u}rges from lectures held at the 
5904                 Mathematisches Institut, G{\"o}ttingen, Germany, in the Winter
5905                 Semester, 1956/7. Translated by George Striker George 
5906                 Striker, Schildweg 12, G{\"o}ttingen 1959.  MathSciNet 
5907                 review: 24 {\#}A1884",   }
5908 
5909 @inproceedings{AUB,
5910         author = "Aubert, K. E.",
5911         title = "Corps valu{\'e}s de {K}rull ({F}rench)",
5912         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 6",
5913         publisher = "Fac. Sci. Paris", 
5914         address = "Paris",
5915         year = 1954,   }
5916 
5917 @book{NAR-BECK-BACH,
5918         author = "Narici, Lawrence and Beckenstein, Edward and Bachman, George",
5919         title = "Functional analysis and valuation theory",
5920         series = "Pure Appl. Math.",
5921         volume = 5,
5922         year = 1971,
5923         publisher = "Marcel Dekker, Inc.", 
5924         address = "New York",
5925         note = "MathSciNet review: 50 {\#}14142",   }
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5927 @article{BAST2,
5928         author = "Bastos, Gervasio G.",
5929         title = "A generalized {K}rasner lemma and applications. ({P}ortuguese)",
5930         journal = "Bol. Soc. Brasil. Mat.",
5931         volume = 3,
5932         year = 1972,
5933         number = 2,
5934         pages = "141--145",
5935         note = "MathSciNet review: 57 {\#}5979",  }
5936 
5937 @article{BAST3,
5938         author = "Bastos, Gervasio G.",
5939         title = "Some results on the degree of imperfection of complete valued fields",
5940         journal = "Manuscripta Math.",
5941         volume = 25,
5942         year = 1978,
5943         number = 4,
5944         pages = "315--322",
5945         note = "MathSciNet review: 80a:12029",  }
5946 
5947 @article{BAST4,
5948         author = "Bastos, Gervasio G.",
5949         title = "A characterization of complete subfields of a complete valuated field",
5950         journal = "Bol. Soc. Brasil. Mat.",
5951         volume = 6,
5952         year = 1975,
5953         number = 1,
5954         pages = "53--56",
5955         note = "MathSciNet review: 57 {\#}5977",  }
5956 
5957 @article{BENZ1,
5958         author = "Benz, Herbert",
5959         title = "{\"{U}}ber diskret fastbewertete perfekte {R}inge und die 
5960                 {A}rithmetik der {H}auptordnungen in {A}lgebren. ({G}erman)",
5961         journal = "J. Reine Angew. Math.",
5962         volume = 209,
5963         year = 1962,
5964         pages = "72--81",
5965         note = "MathSciNet review: 26 {\#}139",  }
5966 
5967 @article{BERG,
5968         author = "Bergman, George M.",
5969         title = "A weak {N}ullstellensatz for valuations",
5970         journal = " Proc. Amer. Math. Soc.",
5971         volume = 28,
5972         year = 1971,
5973         pages = "32--38",
5974         note = "MathSciNet review: 42 {\#}7661",  }
5975 
5976 @article{BERR1,
5977         author = "Berrondo, Fran{\c{c}}ois",
5978         title = "Prolongement des valuations discr{\`e}tes aux extensions
5979                  de dimension finie s{\'e}parables. ({F}rench)",
5980         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
5981         volume = 274,
5982         year = 1972,
5983         pages = "A151--A154",
5984         note = "MathSciNet review:  44 {\#}6660 ",  }
5985 
5986 @article{BERR2,
5987         author = "Berrondo, Fran{\c{c}}ois",
5988         title = "Crit{\`e}res d'irr{\'e}ductibilit{\'e} des polyn{\^o}mes sur les anneaux
5989                  de valuation hens{\'e}liens. ({F}rench)",
5990         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
5991         volume = 276,
5992         year = 1973,
5993         pages = "A1269--A1272",
5994         note = "MathSciNet review: 52 {\#}3146  ",  }
5995 
5996 @article{BERR3,
5997         author = "Berrondo, Fran{\c{c}}ois",
5998         title = "Un corps non alg{\'e}briquement clos complet pour deux
5999                 valuations ind{\'e}pendantes",
6000         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
6001         volume = 282,
6002         year = 1976,
6003         number = 13,
6004         pages = "A675--A677",
6005         note = "MathSciNet review: 53 {\#}8031 ",  }
6006 
6007 @article{BRW3,
6008         author = "Brown, Ron",
6009         title = "Automorphisms and isomorphisms of real {H}enselian fields",
6010         journal = "Trans. Amer. Math. Soc.",
6011         volume = 307,
6012         number = 2,
6013         year = 1988,
6014         pages = "675--703",
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6016 
6017 @article{CAN1,
6018         author = "Cantor, David G.",
6019         title = "On the {S}tone-{W}eierstrass approximation theorem for
6020                  valued fields",
6021         journal = "Pacific J. Math.",
6022         volume = 21,
6023         year = 1967,
6024         pages = "473--478",
6025         note = "MathSciNet review: 35 {\#}1578", }
6026 
6027 @article{CHAO1,
6028         author = "Chao, Nieh Ling",
6029         title = "Discrete-valued complete fields with residue class 
6030                 fields of characteristic $p$",
6031         journal = "J. Chinese Math. Soc. (N.S.)",
6032         volume = 1,
6033         year = 1951,
6034         pages = "377--394",
6035         note = "MathSciNet review: 17,349g", }
6036 
6037 @article{CHEN-QI,
6038         author = "Chen, Bing Hui and Qi, Zhi Nan",
6039         title = "On Henselian valuation rings. (Chinese)",
6040         journal = "Kexue Tongbao (Chinese)",
6041         volume = 26,
6042         year = 1981,
6043         number = 19,
6044         pages = "1161--1163",
6045         note = "MathSciNet review: 731 175", }
6046         
6047 @article{CHE-RAS-WAT,
6048         author = "Chernoff, P. R. and Rasala, R. A. and Waterhouse, W. C.",
6049         title = "The {S}tone-{W}eierstrass theorem for valuable fields",
6050         journal = "Pacific J. Math.",
6051         volume = 27,
6052         year = 1968,
6053         pages = "233--240",
6054         note = "MathSciNet review: 38 {\#}3253", }
6055 
6056 @article{COHEN,
6057         author = "Cohen, Jo-Ann D.",
6058         title = "Extensions of valuation and absolute valued topologies",
6059         journal = "Pacific J. Math.",
6060         volume = 125,
6061         year = 1986,
6062         number = 1,
6063         pages = "39--44",
6064         note = "MathSciNet review:  87k:12013", }
6065 
6066 @article{DANK,
6067         author = "Dankert, Gabrielle",
6068         title = "Hensel's lemma for {L}aurent series",
6069         journal = "Bull. Acad. Polon. Sci. S{\'e}r. Sci. Math. Astronom. Phys.",
6070         volume = 18,
6071         year = 1970,
6072         pages = "287--291",
6073         note = "MathSciNet review:  41 {\#}6791", }
6074 
6075 @incollection{DAU1,
6076         author = "Dauns, John",
6077         title = "Mathiak valuations",
6078         booktitle = "Ordered algebraic structures",
6079         series = "Lecture Notes in Pure and Appl. Math.",
6080         volume = 99,
6081         publisher = "Dekker", 
6082         address = "New York",
6083         year = 1985,
6084         pages = "33--75",
6085         note = "MathSciNet review:  88f:16020", }
6086         
6087 @article{DUR,
6088         author = "D{\"u}rbaum, Hansj{\"u}rgen",
6089         title = "Zur {T}heorie der nichtkommutamutativen {B}ewertungen.
6090                 ({G}erman)",
6091         journal = "Proc. Amer. Math. Soc.",
6092         volume = 4,
6093         year = 1953,
6094         pages = "418--422",
6095         note = "MathSciNet review:  14,944c", }
6096 
6097 @article{KOW-DUR,
6098         author = "Kowalsky, Hans-Joachim and D{\"u}rbaum, Hansj{\"u}rgen",
6099         title = "Arithmetische {K}ennzeichnung von {K}{\"o}rpertopologien. ({G}erman)",
6100         journal = "J. Reine Angew. Math.",
6101         volume = 191,
6102         year = 1953,
6103         pages = "135--152",
6104         note = "MathSciNet review:  15,98a", }
6105 
6106 @article{EGG,
6107         author = "Eggert, Norman H.",
6108         title = "Dependence of valuations",
6109         journal = "J. Reine Angew. Math.",
6110         volume = 253,
6111         year = 1972,
6112         pages = "186--192",
6113         note = "MathSciNet review:  46 {\#}1769", }
6114 
6115 @article{FF-MAR,
6116         author = "Fernandez-Ferreir{\'o}s, P. and Mart{\'i}nez, J.",
6117         title = "Separable fields with valuation. ({S}panish)",
6118         journal = "Rev. Acad. Cienc. Zaragoza~(2)",
6119         volume = 38,
6120         year = 1983,
6121         pages = "5--9",
6122         note = "MathSciNet review: 85i:12013", }
6123 
6124 @article{FL3,
6125         author = "Fleischer, Isidore",
6126         title = "Sur les corps topologiques et les valuations. ({F}rench)",
6127         journal = "C. R. Acad. Sci. Paris",
6128         volume = 236,
6129         year = 1953,
6130         pages = "1320--1322",
6131         note = "MathSciNet review: 14,720f", }
6132 
6133 @article{FL4,
6134         author = "Fleischer, Isidore",
6135         title = "Sur les corps localement born{\'e}s. ({F}rench)",
6136         journal = "C. R. Acad. Sci. Paris",
6137         volume = 237,
6138         year = 1953,
6139         pages = "546--548",
6140         note = "MathSciNet review: 15,195e", }
6141 
6142 @article{FL5,
6143         author = "Fleischer, Isidore",
6144         title = "Sur les espaces normés non-archimédiens. ({F}rench)",
6145         journal = "Indagationes Math.",
6146         volume = 16,
6147         year = 1954,
6148         pages = "165--168",
6149         note = "[Also published in: Nederl. Akad. Wetensch. Proc. Ser.
6150                  A. {57} (1954).] MathSciNet review: 15,964a", }
6151 
6152 @inproceedings{FL6,
6153         author = "Fleischer, Isidore",
6154         title = "Corps maximalement complets. ({F}rench)",
6155         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 8",
6156         publisher = "Fac. Sci. Paris", 
6157         address = "Paris",
6158         year = 1954, 
6159         note = "MathSciNet review: 22 {\#}6793",  }
6160 
6161 @inproceedings{FL7,
6162         author = "Fleischer, Isidore",
6163         title = "Caract{\'e}risation topologique des corps valu{\'e}s. ({F}rench)",
6164         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 7",
6165         publisher = "Fac. Sci. Paris", 
6166         address = "Paris",
6167         year = 1954, 
6168         note = "MathSciNet review: 22 {\#}6792",  }
6169 
6170 @inproceedings{FL8,
6171         author = "Fleischer, Isidore",
6172         title = "Prolongement des valuations. ({F}rench)",
6173         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 16",
6174         publisher = "Fac. Sci. Paris", 
6175         address = "Paris",
6176         year = 1954, 
6177         note = "MathSciNet review: 22 {\#}6802",  }
6178 
6179 @inproceedings{FL9,
6180         author = "Fleischer, Isidore",
6181         title = "Espaces vectoriels sur un corps valu{\'e} de {K}rull. ({F}rench)",
6182         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 15",
6183         publisher = "Fac. Sci. Paris", 
6184         address = "Paris",
6185         year = 1954, 
6186         note = "MathSciNet review: 22 {\#}6800",  }
6187 
6188 @inproceedings{FL10,
6189         author = "Fleischer, Isidore",
6190         title = "Valuations sur les corps premiers. ({F}rench)",
6191         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 19",
6192         publisher = "Fac. Sci. Paris", 
6193         address = "Paris",
6194         year = 1954, 
6195         note = "MathSciNet review: 22 {\#}6804",  }
6196 
6197 @inproceedings{HER-KRA-FLE,
6198         author = "Hertzig, D. and Krasner, Marc and Fleischer, Isidore ",
6199         title = "Lemme de {H}ensel et ses g{\'e}n{\'e}ralisations;
6200                 lemme de {H}ensel dans les anneaux locaux. ({F}rench)",
6201         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 18--18A",
6202         publisher = "Fac. Sci. Paris", 
6203         address = "Paris",
6204         year = 1954, 
6205         note = "MathSciNet review: 22 {\#}6803",  }
6206 
6207 @article{FLE-TRA,
6208         author = "Fleischer, Isidore and Traynor, Tim",
6209         title = "Continuity of homomorphisms on a {B}aire group",
6210         journal = "Proc. Amer. Math. Soc.",
6211         volume = 93,
6212         year = 1985,
6213         number = 2,
6214         pages = "367--368",
6215         note = "MathSciNet review: 85m:22003",  }
6216 
6217 @article{FUKA1,
6218         author = "Fukawa, Masami",
6219         title = "An extension theorem on valuations",
6220         journal = "J. Math. Soc. Japan",
6221         volume = 17,
6222         year = 1965,
6223         pages = "67--71",
6224         note = "MathSciNet review: 32 {\#}4127 ",  }
6225 
6226 @article{FUKA2,
6227         author = "Fukawa, Masami",
6228         title = "On the theory of valuations",
6229         journal = "J. Fac. Sci. Univ. Tokyo Sect. I",
6230         volume = 12,
6231         year = 1965,
6232         pages = "57--79",
6233         note = "MathSciNet review: 32 {\#}4126 ",  }
6234 
6235 @article{GRT1,
6236         author = "Gr{\"a}ter, Joachim",
6237         title = "{\"{U}}ber {B}ewertungen endlich dimensionaler
6238                  {D}ivisionsalgebren. ({G}erman)",
6239         journal = "Resultate Math.",
6240         volume = 7,
6241         year = 1984,
6242         number = 1,
6243         pages = "54--57",
6244         note = "MathSciNet review: 86d:12017",  }
6245 
6246 @article{GRT2,
6247         author = "Gr{\"a}ter, Joachim",
6248         title = "Lokalinvariante {B}ewertungen. ({G}erman)",
6249         journal = "Math. Z.",
6250         volume = 192,
6251         year = 1986,
6252         number = 2,
6253         pages = "183--194",
6254         note = "MathSciNet review: 87i:12021",  }
6255 
6256 @inproceedings{GUE,
6257         author = "Gu{\'e}rindon, J.",
6258         title = "Espaces vectoriels norm{\'e}s sur un corps valu{\'e} complet,
6259                  et unicit{\'e} du prolongement de sa valuation dans ses
6260                  extensions alg{\'e}briques de degr{\'e} fini. ({F}rench)",
6261         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 15",
6262         publisher = "Fac. Sci. Paris", 
6263         address = "Paris",
6264         year = 1954, 
6265         note = "MathSciNet review: 22 {\#}6799",  }
6266 
6267 @article{GUN-REM,
6268         author = "G{\"u}ntzer, Ulrich and Remmert, Reinhold",
6269         title = "Bewertungstheorie und {S}pektralnorm. ({G}erman)",
6270         journal = "Abh. Math. Sem. Univ. Hamburg",
6271         volume = 38,
6272         year = 1972,
6273         pages = "32--48",
6274         note = "MathSciNet review:  46 {\#}5294",  }
6275 
6276 @article{HAI,
6277         author = "Haifawi, Mahmoud",
6278         title = "Normed spaces over valued fields",
6279         journal = "J. Reine Angew. Math.",
6280         volume = 261,
6281         year = 1973,
6282         pages = "153--156",
6283         note = "MathSciNet review:  48 {\#}842",  }
6284 
6285 @article{HAY,
6286         author = " Hayashida, Tsuyoshi",
6287         title = "Note on Archimedean valuations",
6288         journal = "K{\=o}dai Math. Sem. Rep.",
6289         volume = 1,
6290         year = 1949,
6291         number = "5-6",
6292         pages = "7--8",
6293         note = "MathSciNet review:  11,711f",  }
6294 
6295 @article{HEER,
6296         author = "Heerema, Nickolas",
6297         title = "On ramified complete discrete valuation rings",
6298         journal = "Proc. Amer. Math. Soc.",
6299         volume = 10,
6300         year = 1959,
6301         pages = "490--496",
6302         note = "MathSciNet review:  21 {\#}6364",  }
6303 
6304 @inproceedings{HERT,
6305         author = "Hertzig, D.",
6306         title = "La m{\'e}thode de {M}ac{L}ane pour l'{\'e}tude des extensions non 
6307                 ramifi{\'e}es des corps (discr{\`e}tement) valu{\'e}s complets. ({F}rench)",
6308         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 12",
6309         publisher = "Fac. Sci. Paris", 
6310         address = "Paris",
6311         year = 1954, 
6312         note = "MathSciNet review: 22~{\#}6796",  }
6313 
6314 @article{HUCK1,
6315         author = "Huckaba, James A.",
6316         title = "Some results on pseudo valuations",
6317         journal = "Duke Math. J.",
6318         volume = 37,
6319         year = 1970,
6320         pages = "1--9",
6321         note = "MathSciNet review:  40~{\#}7254",  }
6322 
6323 @article{HUCK2,
6324         author = "Huckaba, James A.",
6325         title = "Extensions of pseudo valuations",
6326         journal = "Pacific J. Math.",
6327         volume = 29,
6328         year = 1969,
6329         pages = "295--302",
6330         note = "MathSciNet review:  39 {\#}5563",  }
6331 
6332 @article{KAP4,
6333         author = "Kaplansky, Irving",
6334         title = "The {W}eierstrass theorem in fields with valuations",
6335         journal = "Proc. Amer. Math. Soc.",
6336         volume = 1,
6337         year = 1950,
6338         pages = "356--357",
6339         note = "MathSciNet review:  12,6e",  }
6340 
6341 @article{KEL,
6342         author = "Keller, Hans Arwed",
6343         title = "On valued, complete fields and their automorphisms",
6344         journal = "Pacific J. Math.",
6345         volume = 121,
6346         year = 1986,
6347         number = 2,
6348         pages = "397--406",
6349         note = "MathSciNet review:  87f:12017",  }
6350 
6351 @article{KIY1,
6352         author = "Kiyek, Karl-Heinz",
6353         title = "Ein {S}truktursatz f{\"u}r {P}seudobewertungen. ({G}erman)",
6354         journal = "Math. Z.",
6355         volume = 118,
6356         year = 1970,
6357         number = 2,
6358         pages = "139--156",
6359         note = "MathSciNet review:  43 {\#}4802",  }
6360 
6361 @article{KIY2,
6362         author = "Kiyek, Karl-Heinz",
6363         title = "Homogene Pseudobewertungen. ({G}erman)",
6364         journal = "Arch. Math. (Basel)",
6365         volume = 22,
6366         year = 1971,
6367         pages = "602--611",
6368         note = "MathSciNet review:  46 {\#}158",  }
6369 
6370 @article{KLO-WEI,
6371         author = "Klotzek, Benno and Weinert, Hanns Joachim",
6372         title = "Bemerkungen zur {T}heorie der bewerteten {K}{\"o}rper. ({G}erman)",
6373         journal = "Math. Nachr.",
6374         volume = 39,
6375         year = 1969,
6376         pages = "97--115",
6377         note = "MathSciNet review:  39 {\#}1438",  }
6378 
6379 @article{KN4,
6380         author = "Knebusch, Manfred",
6381         title = "On the extension of real places",
6382         journal = "Comment. Math. Helv.",
6383         volume = 48,
6384         year = 1973,
6385         pages = "354--369",
6386         note = "MathSciNet review:  49 {\#}2681",  }
6387 
6388 @article{KRAS2,
6389         author = "Krasner, Marc",
6390         title = "Th{\'e}orie non ab{\'e}lienne des corps de classes pour les
6391                  extensions finies et s{\'e}parables des corps valu{\'e}s
6392                  complets: principes fondamentaux; espaces de polynomes 
6393                  et transformation ${T}$; lois d'unicit{\'e}, d'ordination
6394                  et d'existence. ({F}rench)",
6395         journal = "C. R. Acad. Sci. Paris",
6396         volume = 222,
6397         year = 1946,
6398         pages = "626--628",
6399         note = "MathSciNet review:   7,510c ",  }
6400 
6401 @book{KRAS3,
6402         author = "Krasner, Marc",
6403         title = "Valuations des anneaux et des corps non commutatifs. ({F}rench)",
6404         publisher = "Secr{\'e}tariat Math.",
6405         year = 1970,
6406         series = "S{\'e}minaire Delange-Pisot-Poitou: 1969/70,
6407                  Th{\'e}orie des Nombres, No. 2, Exp. 20",
6408         address = "Paris",
6409         note = "MathSciNet review: 45 {\#}257",   }
6410 
6411 @article{LAZ1,
6412         author = "Lazard, Michel",
6413         title = "Bemerkungen zur {T}heorie der bewerteten {K}{\"o}rper
6414                  und {R}inge. ({G}erman)",
6415         journal = "Math. Nachr.",
6416         volume = 12,
6417         year = 1954,
6418         pages = "67--73",
6419         note = "MathSciNet review:   16,561a",  }
6420 
6421 @inproceedings{LAZ2,
6422         author = "Hertzig, D.",
6423         title = "D{\'e}termination des anneaux $p$-adiques et $\pi $-adiques
6424                  dont les anneaux des restes sont parfaits. ({F}rench)",
6425         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 9",
6426         publisher = "Fac. Sci. Paris", 
6427         address = "Paris",
6428         year = 1954, 
6429         note = "MathSciNet review: 22 {\#}6794",  }
6430 
6431 @inproceedings{LAZ3,
6432         author = "Hertzig, D.",
6433         title = "Construction des corps valu{\'e}s complets 
6434                 h{\'e}t{\'e}rotypiques non ramifi{\'e}s {\`a} partir de 
6435                 leurs corps des restes (non suppos{\'e}s parfaits). ({F}rench)",
6436         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 11",
6437         publisher = "Fac. Sci. Paris", 
6438         address = "Paris",
6439         year = 1954, 
6440         note = "MathSciNet review: 22 {\#}6795",  }
6441 
6442 @article{LEN1,
6443         author = "Lensko{\u{i}}, Dmitri{\u{i}} N.",
6444         title = "A remark {\`a} propos of {H}ensel's lemma. ({R}ussian)",
6445         journal = "Izv. Vyssh Uchebn. Zaved. Mat.",
6446         volume = 4,
6447         number = 17,
6448         year = 1960,
6449         pages = "128--132",
6450         note = "MathSciNet review:   24 {\#}A1271",  }
6451 
6452 @phdthesis{LOO1,
6453         author = "Loonstra, Frans",
6454         title = "Analytische {U}ntersuchungen {\"u}ber {B}ewertete
6455                  {K}{\"o}rper. ({G}erman)",
6456         school = "University of Amsterdam",
6457         year = 1941,  }
6458 
6459 @article{LOO2,
6460         author = "Loonstra, Frans",
6461         title = "Im {K}leinen kompakte nichtarchimedisch bewertete {K}{\"o}rper. ({G}erman)",
6462         journal = "Nederl. Akad. Wetensch., Proc.",
6463         volume = 45,
6464         year = 1942,
6465         pages = " 665--668",
6466         note = "MathSciNet review:   6,144f",  }
6467 
6468 @article{MACL3,
6469         author = " MacLane, Saunders",
6470         title = "The universality of formal power series fields",
6471         journal = "Bull. Amer. Math. Soc.",
6472         volume = 45,
6473         year = 1939,
6474         pages = "888--890",
6475         note = "MathSciNet review:  1,102c",  }
6476 
6477 @article{MACL4,
6478         author = " MacLane, Saunders",
6479         title = "Note on the relative structure of $p$-adic fields",
6480         journal = "Ann. of Math. (2)",
6481         volume = 41,
6482         year = 1940,
6483         pages = "751--753",
6484         note = "MathSciNet review:  2,123a",  }
6485 
6486 @article{SCH-MAC,
6487         author = "Schmidt, F. K. and MacLane, Saunders",
6488         title = "The generation of inseparable fields",
6489         journal = "Proc. Nat. Acad. Sci. U. S. A.",
6490         volume = 27,
6491         year = 1941,
6492         pages = "583--587",
6493         note = "MathSciNet review:  3,263b",  }
6494 
6495 @inproceedings{CO-MA-HE,
6496         author = "Cohn, Paul Moritz and Mahdavi-Hezavehi, M.",
6497         title = "Extensions of valuations on skew fields",
6498         booktitle = "Ring theory, Antwerp 1980 
6499                 (Proc. Conf., Univ. Antwerp, Antwerp, 1980)",
6500         series = "Lecture Notes in Math.",
6501         publisher = "Springer", 
6502         address = "Berlin",
6503         pages = "28--41",
6504         volume = 825,
6505         year = 1980,
6506         note = "MathSciNet review: 81m:12024", }
6507 
6508 @article{COH-MAH,
6509         author = "Cohn, Paul and Mahler, Kurt",
6510         title = "On the composition of pseudo-valuations",
6511         journal = "Nieuw Arch. Wiskunde (3)",
6512         volume = 1,
6513         year = 1953,
6514         pages = "161--198",
6515         note = "MathSciNet review:  15,395a",  }
6516 
6517 @article{MAH2,
6518         author = "Mahler, Kurt",
6519         title = "An interpolation series for continuous 
6520                 functions of a $p$-adic variable",
6521         journal = "J. Reine Angew. Math.",
6522         volume = 199,
6523         year = 1958,
6524         pages = "23--24",
6525         note = "MathSciNet review:  20 {\#}2321",  }
6526 
6527 @article{MAN1,
6528         author = "Manley, P. L.",
6529         title = "A note on valuation fields",
6530         journal = "Bull. Calcutta Math. Soc.",
6531         volume = 69,
6532         year = 1977,
6533         number = 6,
6534         pages = "349--351",
6535         note = "MathSciNet review:  81c:12038",  }
6536 
6537 @article{MATH1,
6538         author = "Mathiak, Karl",
6539         title = "Bewertungen nicht kommutativer {K}{\"o}rper. ({G}erman)",
6540         journal = "J. Algebra",
6541         volume = 48,
6542         year = 1977,
6543         number = 2,
6544         pages = "217--235",
6545         note = "MathSciNet review:  58 {\#}5614",  }
6546 
6547 @article{MATH2,
6548         author = "Mathiak, Karl",
6549         title = "Zur Bewertungstheorie nicht kommutativer {K}{\"o}rper. ({G}erman)",
6550         journal = "J. Algebra",
6551         volume = 73,
6552         year = 1981,
6553         number = 2,
6554         pages = "586--600",
6555         note = "MathSciNet review:  83c:12026",  }
6556 
6557 @article{MATH3,
6558         author = "Mathiak, Karl",
6559         title = "Der {A}pproximationssatz f{\"u}r {B}ewertungen
6560                  nicht kommutativer {K}{\"o}rper. ({G}erman)",
6561         journal = "J. Algebra",
6562         volume = 76,
6563         year = 1982,
6564         number = 1,
6565         pages = " 280--295",
6566         note = "MathSciNet review:  83m:12044",  }
6567 
6568 @book{MATH4,
6569         author = "Mathiak, Karl",
6570         title = "Valuations of skew fields and projective 
6571                 {H}jelmslev spaces",
6572         series = "Lecture Notes in Math.",
6573         volume = 1175,
6574         year = 1986,
6575         publisher = "Springer-Verlag",
6576         address = "Berlin-New York",
6577         note = "MathSciNet review:  87g:16002",  }
6578 
6579 @article{MAT-REV,
6580         author = "Matignon, Michel and Reversat, Marc",
6581         title = "Sous-corps ferm{\'e}s d'un corps valu{\'e}. ({F}rench)",
6582         journal = "J. Algebra",
6583         volume = 90,
6584         year = 1984,
6585         number = 2,
6586         pages = " 491--515",
6587         note = "MathSciNet review:  85k:12007",  }
6588 
6589 @article{MAT3,
6590         author = "Matignon, Michel",
6591         title = "Sous-corps ferm{\'e}s du compl{\'e}t{\'e} de la cl{\^o}ture
6592                  alg{\'e}brique d'un corps local. ({F}rench)",
6593         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
6594         volume = 288,
6595         year = 1979,
6596         number = 23,
6597         pages = " A1051--A1054",
6598         note = "MathSciNet review:  80e:12019",  }
6599 
6600 @article{MOC,
6601         author = "Mo{\v{c}}ko{v{r}}, Ji{\v{r}}{\'i} ",
6602         title = "The completion of valued fields and nonstandard models",
6603         journal = "Comment. Math. Univ. St. Paul.",
6604         volume = 30,
6605         year = 1981,
6606         number = 1,
6607         pages = "1--16",
6608         note = "MathSciNet review:  84d:12024",  }
6609 
6610 @article{MON2,
6611         author = "Monna, Antoine Frans",
6612         title = "$P$-adic numbers. ({D}utch)",
6613         journal = "Simon Stevin",
6614         volume = 28,
6615         year = 1951,
6616         pages = "40--54",
6617         note = "MathSciNet review:  12,676f",  }
6618 
6619 @article{MOR2,
6620         author = "Moriya, Mikao",
6621         title = "Charakterisierung der nicht-archimedischen 
6622                 {B}ewertungen durch {G}r{\"o}ssenordnungen. ({G}erman)",
6623         journal = "Math. J. Okayama Univ.",
6624         volume = 3,
6625         year = 1953,
6626         pages = "29--38",
6627         note = "MathSciNet review:  15,680a",  }
6628 
6629 @article{MOTH1,
6630         author = "Mothon, Bernard",
6631         title = "Prolongements de valuations dans un cas non commutatif.
6632                 ({F}rench)",
6633         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
6634         volume = 291,
6635         year = 1980,
6636         number = 1,
6637         pages = "A5--A6",
6638         note = "MathSciNet review:   81i:12030",  }
6639 
6640 @article{NAK1,
6641         author = "Nakano, Takeo",
6642         title = "A generalized valuation and its value groups",
6643         journal = "Comment. Math. Univ. St. Paul.",
6644         volume = 12,
6645         year = 1964,
6646         pages = "1--22",
6647         note = "MathSciNet review:   29 {\#}2249",  }
6648 
6649 @article{ONO1,
6650         author = "Ono, Takashi",
6651         title = "On the extension property of normed spaces over fields
6652                  with non-archimedean valuations",
6653         journal = "J. Math. Soc. Japan",
6654         volume = 5,
6655         year = 1953,
6656         pages = "1--5",
6657         note = "MathSciNet review:   15,717a",  }
6658 
6659 @article{PIR,
6660         author = "Pirtle, Elbert M.",
6661         title = "Noncommutative valuation rings",
6662         journal = "Publ. Inst. Math. (Belgrad) (N.S.)",
6663         volume = "39(53)",
6664         year = 1986,
6665         pages = "83--87",
6666         note = "MathSciNet review:  88b:16007",  }
6667 
6668 @article{PLO,
6669         author = "P\l oski, Arkadiusz",
6670         title = "Remarque sur le lemme de {H}ensel. ({F}rench)",
6671         journal = "Bull. Acad. Polon. Sci. S{\'e}r. Sci. Math.",
6672         volume = 28,
6673         year = 1980,
6674         number = "3-4",
6675         pages = "115--116",
6676         note = "MathSciNet review:  82m:13020",  }
6677 
6678 @incollection{PRO,
6679         author = "Prolla, Joao B.",
6680         title = "Topics in functional analysis over valued division rings",
6681         booktitle = "North-Holland Mathematics Studies, 77",
6682         volume = 89,
6683         series = "Notas Mat.", 
6684         publisher = "North-Holland",    
6685         address = "Amsterdam-New York",
6686         year = 1982,  
6687         note = "MathSciNet review: 84g:46107",  }
6688 
6689 @article{VDP-VT,
6690         author = "van der Put, Marius and van Tiel, J.",
6691         title = "Espaces nucl{\'e}aires non archim{\'e}diens. ({F}rench)",
6692         journal = "Indag. Math.",
6693         volume = 29,
6694         year = 1967,
6695         pages = "556--561",
6696         note = "[Also in:  Nederl. Akad. Wetensch. Proc. Ser. A 70.]
6697                  MathSciNet review: 37 {\#}4550",  }
6698 
6699 @article{RHO,
6700         author = "Rhodes, C. P. L.",
6701         title = "A note on primary decompositions of a pseudovaluation",
6702         journal = "Pacific J. Math.",
6703         volume = 47,
6704         year = 1973,
6705         pages = "507--513",
6706         note = "MathSciNet review:  48 {\#}3942",   }
6707 
6708 @book{VRO,
6709         author = " van Rooij, A. C. M.",
6710         title = "Non-{A}rchimedean functional analysis",
6711         series = "Monographs Textbooks Pure Appl. Math.",
6712         volume = 51,
6713         publisher = "Marcel Dekker, Inc.", 
6714         address = "New York",
6715         year = 1978,
6716         note = "MathSciNet review:  81a:46084",  }
6717 
6718 @article{SCHI2,
6719         author = "Schilling, Otto Franz Georg",
6720         title = " Noncommutative valuations",
6721         journal = "Bull. Amer. Math. Soc.",
6722         volume = 51,
6723         year = 1945,
6724         pages = "297--304", 
6725         note = "MathSciNet review:  6,201a", }
6726 
6727 @book{SCHR1,
6728         author = "Schrot, Mary Dolor{\`e}s",
6729         title = "Pseudo-valuations sur les domaines de Dedekind. ({F}rench)",
6730         publisher = "Secr{\'e}tariat Math.",
6731         year = 1968,
6732         series = "S{\'e}minaire Delange-Pisot-Poitou: 1966/67, 
6733                 Th{\'e}orie des Nombres Fasc. 2, Expose 10",
6734         address = "Paris",
6735         note = "MathSciNet review:  40 {\#}145",   }
6736 
6737 @book{SCHR2,
6738         author = "Schrot, Mary Dolor{\`e}s",
6739         title = "Pseudo-valuations sur les corps globaux. ({F}rench)",
6740         publisher = "Secr{\'e}tariat Math.",
6741         year = 1968,
6742         series = "S{\'e}minaire Delange-Pisot-Poitou: 1966/67, 
6743                 Th{\'e}orie des Nombres Fasc. 2, Expose 14",
6744         address = "Paris",
6745         note = "MathSciNet review:  40~{\#}144",   }
6746 
6747 @article{STRA1,
6748         author = "Strano, Rosario",
6749         title = "Sulla henselizzazione stretta di un corpo valutato",
6750         journal = " Ann. Univ. Ferrara VII (N.S.))",
6751         volume = 21,
6752         year = 1975,
6753         pages = "117--130", 
6754         note = "MathSciNet review: 53 {\#}5579", }
6755 
6756 @article{STRA2,
6757         author = "Strano, Rosario",
6758         title = "Alcune proprietà dei corpi henseliani",
6759         journal = " Ann. Univ. Ferrara VII (N.S.))",
6760         volume = 21,
6761         year = 1975,
6762         pages = "69--86", 
6763         note = "MathSciNet review: 53 {\#}5552", }
6764 
6765 @article{SZP1,
6766         author = "Szpiro, Lucien",
6767         title = "Fonctions d'ordre et valuations. ({F}rench)",
6768         journal = "Bull. Soc. Math. France",
6769         volume = 94,
6770         year = 1966,
6771         pages = "301--311", 
6772         note = "MathSciNet review: 36 {\#}2613", }
6773 
6774 @article{VAL1,
6775         author = "Valabrega, Paolo ",
6776         title = "Anelli Henseliani topologici {I}, {II}. ({I}talian)",
6777         journal = "Ann. Mat. Pura Appl. (4)",
6778         volume = 91,
6779         year = 1972,
6780         pages = "283--303, 305--316", 
6781         note = "MathSciNet review: 47 {\#}1806", }
6782 
6783 @article{VID1,
6784         author = "Vidal, Robert",
6785         title = "Anneaux de valuation discr{\`e}te, complets, non 
6786         n{\'e}cessairement commutatifs",
6787         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
6788         volume = 283,
6789         year = 1976,
6790         number = 6,
6791         pages = "A281--A284", 
6792         note = "MathSciNet review: 55 {\#}387", }
6793 
6794 @article{VID2,
6795         author = "Vidal, Robert",
6796         title = " Un exemple d'anneau de valuation discr{\`e}te complet, 
6797                 non commutatif qui n'est pas un anneau de {C}ohen. ({F}rench)",
6798         journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B",
6799         volume = 284,
6800         year = 1977,
6801         number = 23,
6802         pages = "A1489--A1492", 
6803         note = "MathSciNet review: 55 {\#}12773 ", }
6804 
6805 @article{VID3,
6806         author = "Vidal, Robert",
6807         title = "Anneaux de valuation discr{\`e}te complets non commutatifs. ({F}rench)",
6808         journal = "Trans. Amer. Math. Soc. ",
6809         volume = 267,
6810         year = 1981,
6811         number = 1,
6812         pages = "65--81", 
6813         note = "MathSciNet review: 82j:16008", }
6814 
6815 @article{VIS1,
6816         author = " Viswanathan, T. M.",
6817         title = "A characterisation of Henselian valuations via the norm",
6818         journal = "Bol. Soc. Brasil. Mat.",
6819         volume = 4,
6820         year = 1973,
6821         number = 1,
6822         pages = "51--53", 
6823         note = "MathSciNet review: 50 {\#}7109 ", }
6824 
6825 @article{VIS2,
6826         author = " Viswanathan, T. M.",
6827         title = "Hahn valuations and (locally) compact rings",
6828         journal = "J. Algebra",
6829         volume = 17,
6830         year = 1971,
6831         number = 1,
6832         pages = "94--109", 
6833         note = "MathSciNet review: 42 {\#}4465", }
6834 
6835 @article{WAD,
6836         author = "Wadsworth, Adrian R.",
6837         title = "Extending valuations to finite-dimensional division algebras",
6838         journal = "Proc. Amer. Math. Soc.",
6839         volume = 98,
6840         year = 1986,
6841         number = 1,
6842         pages = " 20--22", 
6843         note = "MathSciNet review: 87i:16025", }
6844 
6845 @article{WA5,
6846         author = "Warner, Seth",
6847         title = "Half Henselian valuations",
6848         journal = "C. R. Math. Rep. Acad. Sci. Canada",
6849         volume = 6,
6850         year = 1984,
6851         number = 5,
6852         pages = "255--259", 
6853         note = "MathSciNet review: 86e:12012", }
6854 
6855 @article{WRI1,
6856         author = "Wright, Michael J.",
6857         title = "On the number of prolongations of a finite rank valuation",
6858         journal = "Canad. J. Math.",
6859         volume = 23,
6860         year = 1971,
6861         pages = "553--556", 
6862         note = "MathSciNet review: 44 {\#}6698", }
6863 
6864 @article{ZEL2,
6865         author = "Zelinsky, Daniel",
6866         title = "Complete fields from local rings",
6867         journal = "Proc. Nat. Acad. Sci. U. S. A.",
6868         volume = 37,
6869         year = 1951,
6870         pages = "379--381", 
6871         note = "MathSciNet review: 13,7h", }
6872 
6873 @mastersthesis{KU6,
6874         author = "Kuhlmann, Franz-Viktor",
6875         title = "Zur Konstruktion von rationalen Stellen 
6876                 $p$-adischer und anderer bewerteter Funktionenkoerper", 
6877         school = "University of Muenster",
6878         year = 1981,  }
6879 
6880 @phdthesis{KU7,
6881         author = "Kuhlmann, Franz-Viktor",
6882         title = "Henselian function fields", 
6883         school = "University of Heidelberg", 
6884         year = 1989,  } 
6885 
6886 @misc{KU8,
6887         author = "Kuhlmann, Franz-Viktor",
6888         title = "Valuation theory of fields, abelian groups and modules",
6889         howpublished = "Habilitation",
6890         year = "1994/95",   }
6891 
6892 @article{KU-KUS-SHE,
6893         author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma and Shelah, Saharon ",
6894         title = "Exponentiation in power series fields",
6895         journal = "Proc. Amer. Math. Soc. ",
6896         year = 1997,
6897         volume = 125,
6898         number = 11,
6899         pages = "3177--3183",
6900         note = "MathSciNet review: 97m:12007",  }
6901 
6902 @incollection{KU-KUS2,
6903         author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma and Shelah, Saharon ",
6904         title = "Ax-{K}ochen-{E}rshov principles for valued and ordered vector spaces",
6905         booktitle= "Ordered algebraic structures (Cura{\c{c}}ao, 1995)",
6906         publisher = "Kluwer Acad. Publ.", 
6907         address = "Dordrecht", 
6908         year = 1997,
6909         pages = "237--259",
6910         note = "MathSciNet review: 98h:03049",  }
6911 
6912 @inproceedings{KU9,
6913         author = "Kuhlmann, Franz-Viktor",
6914         title = "Generalized {A}x-{K}ochen-{E}rshov-principles",
6915         booktitle = "Proceedings of the 8th Easter Conference
6916                  on Model Theory (Wendisch-Rietz, 1990)",
6917         series = "Seminarberichte",
6918         volume = 110,
6919         pages = "113--120",
6920         publisher = "Humboldt Univ.", 
6921         address = "Berlin",
6922         year = 1990,
6923         note = "MathSciNet review: 1 107 761",  }
6924 
6925 @inproceedings{KU10,
6926         author = "Kuhlmann, Franz-Viktor",
6927         title = "Some remarks on maximality properties of valued fields",
6928         booktitle = "Proceedings of the fourth Easter conference on model
6929                  theory (Gross K{\"o}ris, 1986)",
6930         series = "Seminarberichte",
6931         volume = 86,
6932         pages = "137--142",
6933         publisher = "Humboldt Univ.", 
6934         address = "Berlin",
6935         year = 1986,
6936         note = "MathSciNet review: 884 724",  }
6937 
6938 @article{KUS4,
6939         author = "Kuhlmann, Salma",
6940         title = "Valuation bases for extensions of valued vector spaces",
6941         journal = "Forum Math. ",
6942         year = 1996,
6943         volume = 8,
6944         number = 6,
6945         pages = "723--735",
6946         note = "MathSciNet review: 97h:12015",  }
6947 
6948 @article{KUS5,
6949         author = "Kuhlmann, Salma",
6950         title = "Isomorphisms of lexicographic powers of the reals",
6951         journal = "Proc. Amer. Math. Soc.",
6952         year = 1995,
6953         volume = 123,
6954         number = 9,
6955         pages = "2657--2662",
6956         note = "MathSciNet review: 95k:06001",  }
6957 
6958 @article{All-KUS,
6959         author = "Alling, Norman L. and Kuhlmann, Salma",
6960         title = "On $\eta\sb \alpha$-groups and fields",
6961         journal = "Order",
6962         year = 1994,
6963         volume = 11,
6964         number = 1,
6965         pages = "85--92",
6966         note = "MathSciNet review: 95h:06001", }
6967 
6968 @article{KUS6,
6969         author = "Kuhlmann, Salma",
6970         title = "Groupes ab{\'e}liens divisibles ordonn{\'e}s. ({F}rench)",
6971         journal = "Proc. Amer. Math. Soc.",
6972         year = 1995,
6973         volume = 123,
6974         number = 9,
6975         pages = "2657--2662",
6976         note = "MathSciNet review: 95k:06001",  }
6977 
6978 @book{KUS7,
6979         author = "Kuhlmann, Salma",
6980         title = "Groupes ab{\'e}liens divisibles ordonn{\'e}s. ({F}rench)",
6981         series = "S{\'e}minaire sur les Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ",
6982         volume = 1,
6983         publisher = " Publ. Math. Univ. Paris VII",
6984         address = "Paris",
6985         organization = "Universit{\'e} Paris {VII}",
6986         year = 1990, 
6987         note = "MathSciNet review: 91k:03093",  }
6988 
6989 @unpublished{KU-KUS3,
6990         author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma",
6991         title = "The exponential rank of nonarchimedean exponential fields",
6992         note = "to appear in the Proceedings of the Special Semester
6993                 in Real Algebraic Geometry and Ordered Structures, 
6994                 Baton Rouge 1996; prepublication in: The Fields 
6995                 Institute Preprint Series, Toronto (June 1997), 
6996                 21 pages; also in: Structures Algebriques Ordonnees, 
6997                 Seminaire Paris VII (1997)",  }
6998 
6999 @unpublished{KU11,
7000         author = "Kuhlmann, Franz-Viktor",
7001         title = "Valuation theoretic and model theoretic aspects of
7002                  local uniformization",
7003         note = " [to appear in the Proceedings of the Conference on 
7004                 the Resolution of Singularities Tirol 1997, 79 pages]",  }
7005 
7006 @inproceedings{KU12,
7007         author = "Kuhlmann, Franz-Viktor",
7008         title = "Some valuation theoretical concepts for the examination of
7009                  the model theory of valued fields",
7010         booktitle = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ",
7011         series = "Seminaire 1985-1986",
7012         organization = "Universit{\'e} Paris {VII}",
7013         year = 1986,  }
7014 
7015 @inproceedings{KU13,
7016         author = "Kuhlmann, Franz-Viktor",
7017         title = "Maximality properties of valued fields: some new results",
7018         booktitle = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ",
7019         series = "Seminaire 1986-1987",
7020         organization = "Universit{\'e} Paris {VII}",
7021         year = 1987,  }
7022 
7023 @inproceedings{KU14,
7024         author = "Kuhlmann, Franz-Viktor",
7025         title = "The model theory of valued fields - a short survey",
7026         booktitle = "Proceedings of the Fifth Easter Conference on Model Theory",
7027         series = "Seminarberichte",
7028         volume = 93,
7029         publisher = "Humboldt Univ.", 
7030         address = "Berlin",
7031         year = 1987,  }
7032 
7033 @techreport{KU-KUS4,
7034         author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma",
7035         title = "Residue fields of arbitrary convex valuations on restricted
7036                   analytic fields with exponentiation {I}",
7037         institution = "The Fields Institute ", 
7038         address = "Toronto",
7039         year = 1996,
7040         note = "also in: Structures Algebriques Ordonnees,
7041                  Seminaire Paris VII (1997) ",  }
7042 @techreport{KU15,
7043         author = "Kuhlmann, Franz-Viktor",
7044         title = "Introduction to ramification theory", 
7045         institution = "The Fields Institute",
7046         year = 1997,
7047         note = "Conference handout",   }
7048 
7049 @inproceedings{KU-KUS5,
7050         author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma",
7051         title = "Explicit construction of exponential-logarithmic power series",
7052         booktitle = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ",
7053         series = "Seminaire ",
7054         organization = "Universit{\'e} Paris {VII}",
7055         year = 1997,  } 
7056 
7057 @techreport{KU16,
7058         author = "Kuhlmann, Franz-Viktor",
7059         title = "Valuation independence: a characterization of the 
7060                 Galois groups of tame valued field extensions", 
7061         institution = "The Fields Institute",
7062         year = "1997", }
7063 
7064 @techreport{KU17,
7065         author = "Kuhlmann, Franz-Viktor",
7066         title = "A theorem on spherically complete valued abelian
7067                  groups", 
7068         institution = "The Fields Institute",
7069         year = "1997", }
7070 
7071 @techreport{KU18,
7072         author = "Kuhlmann, Franz-Viktor",
7073         title = "On local uniformization in arbitrary characteristic", 
7074         institution = "The Fields Institute",
7075         year = "1997", }
7076 
7077 @misc{KU19,
7078         author = "Kuhlmann, Franz-viktor and Lombardi, H.",
7079         title = "Construction du hens'elis'e d'un corps valu'e", 
7080         note = "Prepublications de l'Equipe de Math'ematiques de 
7081                 Besancon (1998) ",  }
7082 
7083 @misc{KU20,
7084         author = "Kuhlmann, Franz-Viktor", 
7085         title = "Elementary properties of power series fields over
7086                  finite fields", 
7087         institution = "The Fields Institute",
7088         year = 1998, 
7089         note = "prepublication in: Structures Algebriques Ordonnees,
7090                  Seminaire Paris VII (1997), and submitted to J. Symb. Logic",   }
7091 
7092 @misc{KUS8,
7093         author = "Kuhlmann, Salma", 
7094         title = "Infinitary properties for valued and 
7095                 ordered vector spaces", 
7096         institution = "The Fields Institute",
7097         year = 1997, 
7098         note = "[to appear in the J. Symb. Logic]",   }  
7099 
7100 @inproceedings{KUS9,
7101         author = "Kuhlmann, Salma",
7102         title = "Chaines uniquements transitives",
7103         booktitle = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ",
7104         series = "Seminaire 1985-1986",
7105         organization = "Universit{\'e} Paris {VII}",
7106         year = 1986,  } 
7107 
7108 @inproceedings{KUS10,
7109         author = "Kuhlmann, Salma",
7110         title = "A remark on the classification problem for ordered structures",
7111         booktitle = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ",
7112         series = "Seminaire 1987-1988",
7113         organization = "Universit{\'e} Paris {VII}",
7114         year = 1988,  }   
7115 
7116 @article{AR4,
7117         author = "Artin, Emil",
7118         title = "{\"{U}}ber die {B}ewertungen algebraischer Zahlk{\"o}rper",
7119         journal = "J. Reine Angew. Math.",
7120         volume = 167,
7121         pages = "157--159",
7122         year = 1932,   }
7123 
7124 @book{BENZ2,
7125         author = "Benz, Herbert",
7126         title = "{\"{U}}ber eine {B}ewertungstheorie der {A}lgebren und 
7127                 ihre {B}edeuting fur die {A}rithmetik",
7128         series = "Schriftenreihe Inst. Math. Deutsch. Akad. Wiss. Berlin",
7129         publisher = "Akademie-Verlag",
7130         address = "Berlin",  
7131         year = 1961,   }
7132 
7133 
7134 
7135 @article{COH-SEI,
7136         author = "Cohen, Irving S. and Seidenberg, A.",
7137         title = " Prime ideals and integral dependence",
7138         journal = "Bull. Amer. Math. Soc.", 
7139         volume = 52,
7140         year = 1946,
7141         pages = "252--261",
7142         note = "MathSciNet review: 7,410a",  }
7143  
7144 @article{COH1,
7145         author = "Cohen, Irving S.",
7146         title = " On non-{A}rchimedean normed spaces",
7147         journal = "Indagationes Math.",
7148         volume = 10,
7149         year = 1948,
7150         pages = "244--249",
7151         note = "[also in: Nederl. Akad. Wetensch., Proc. 51, (1948)
7152                  693--698.]  MathSciNet review: 10,48a",   }
7153 
7154 @article{TAI1,
7155         author = "Tai, Zitzung",
7156         title = "Pseudokonvergenz und die {P}erfektheit 
7157                 bewerteter {K}{\"o}rper. ({C}hinese)",
7158         journal = "Acta Math. Sinica",
7159         volume = 5,
7160         year = 1955,
7161         pages = "489--495",
7162         note = "[author also known as: Zhi-zhong Dai] MathSciNet review: 17,939b",   }
7163 
7164 @article{TAI2,
7165         author = "Tai, Zitzung",
7166         title = "On discrete valuations",
7167         journal = " Chinese Math.",
7168         volume = 4,
7169         year = 1963,
7170         pages = "18--23",
7171         note = "[author also known as: Zhi-zhong Dai] MathSciNet review: 29 {\#}2252",   }
7172 
7173 @article{TAI3,
7174         author = "Tai, Zitzung",
7175         title = "On complete fields with multiple valuation. ({C}hinese)",
7176         journal = "Shuxue Jinzhan",
7177         volume = 9,
7178         year = 1966,
7179         pages = "401--406",
7180         note = "[author also known as: Zhi-zhong Dai] MathSciNet review: 40 {\#}5593",   }
7181 
7182 @book{DIA4,
7183         author ="Dai, Zitzung",
7184         title = "Fuzhi lun gaiyao. ({C}hinese) [Elements of valuation theory]",
7185         series = "Gaodeng Xuexiao Jiaoxue Cankao Shu. [Advanced Textbooks
7186                  and Reference Works]",
7187         publisher = "Renmin Jiaoyu Chubanshe", 
7188         address = "Beijing",
7189         year = 1981,
7190         note = "[author also known as: Zhi-zhong Tai] MathSciNet review: 87i:12020",  }
7191 
7192 @article{ZEN-DAI1,
7193         author = "Zeng, Guang Xing and  Dai, Zhi-zhong",
7194         title = "Real Hilbert rings. ({C}hinese)",
7195         journal = "Acta Math. Sinica",
7196         volume = 40,
7197         year = 1997,
7198         number = 2,
7199         pages = "175--184",
7200         note = "[author also known as: Zhi-zhong Tai] MathSciNet review: 98i:13042",   }
7201 
7202 @incollection{ZEN-DAI2,
7203         author = "Zeng, Guang Xing and  Dai, Zhi-zhong",
7204         title = "Valuation theory and generalizations of {H}ilbert's
7205                 17th problem",
7206         booktitle = "Rings, groups, and algebras",
7207         sereis = "Lecture Notes in Pure and Appl. Math.",
7208         volume = 181,
7209         publisher = "Dekker", 
7210         address = "New York",
7211         year = 1996,
7212         pages = "39--50",
7213         note = "[author also known as: Zhi-zhong Tai] MathSciNet review:  97g:12006",   }
7214 
7215 @article{DIA5,
7216         author =" Dai, Zhi-zhong",
7217         title = "Real places and real valuations on a commutative ring",
7218         journal = " Acta Math. Sinica (N.S.)",
7219         volume = 10,
7220         year = 1994,
7221         pages = "24--29",
7222         note = "[special issue.] [author also known as: Zhi-zhong Tai] MathSciNet review: 95b:13003",  }
7223 
7224 @article{DIA6,
7225         author ="Dai, Zhi-zhong",
7226         title = "Preorderings and real places of a commutative ring. ({C}hinese)",
7227         journal = " Acta Math. Sinica ",
7228         volume = 36,
7229         year = 1993,
7230         number = 4,
7231         pages = "441--450",
7232         note = "[author also known as: Zhi-zhong Tai]  MathSciNet review:  94m:13032",  }
7233 
7234 @article{DIA7,
7235         author ="Dai, Zhi-zhong",
7236         title = "Some remarks on ordered fields. ({C}hinese)",
7237         journal = "J. Math. Res. Exposition",
7238         volume = 2,
7239         year = 1982,
7240         number = 2,
7241         pages = "7--10",
7242         note = "[author also known as: Zhi-zhong Tai] MathSciNet review:   83m:12042",  }
7243 
7244 @article{DIA8,
7245         author ="Dai, Zhi-zhong",
7246         title = "Henselian valued fields.  ({C}hinese)",
7247         journal = "J. Math. Res. Exposition",
7248         volume = 2,
7249         year = 1982,
7250         number = 1,
7251         pages = "153--161",
7252         note = "[author also known as: Zhi-zhong Tai] MathSciNet review:  83k:12024",  }
7253 
7254 @article{TAI9,
7255         author = "Tai, Zhi-zhong",
7256         title = "Riemann-Roch theorem for the algebraic function
7257                  domains of one variable. ({C}hinese)",
7258         journal = "Shuxue Jinzhan",
7259         volume = 7,
7260         year = 1964,
7261         pages = "231--239",
7262         note = "[author also known as: Zhi-zhong Dai] MathSciNet review: 32 {\#}5653",   }
7263 
7264 @article{HART,
7265         author = "Hartman, Peter",
7266         title = "Ein {B}eweis des {H}enselschen {L}emmas f{\"u}r 
7267                 maximal bewertete {K}{\"o}per",
7268         journal = "Arch. Math. (Basel)",
7269         volume = 37,
7270         year = 1981,
7271         pages = "163--168",  }
7272 
7273 @article{HAS-SCHDT2,
7274         author = "Hasse, Helmut and Schmidt, Frank K.",
7275         title = "Die {S}trukture diskret bewerteter {K}{\"o}rper",
7276         journal = "J. Reine Angew. Math.",
7277         volume = 170,
7278         year = 1933,
7279         pages = "4--63",  }
7280 
7281 @article{HEIN,
7282         author = "Heinemann, Bernhard",
7283         title = "On finite intersections of ``{H}enselian valued'' fields",
7284         journal = "Manuscripta Math.",
7285         volume = 54,
7286         year = 1985,
7287         number = "1-3",
7288         pages = "37--61",  }
7289 
7290 @inproceedings{KRAS4,
7291         author = "Krasner, Marc",
7292         title = "Prolongement des valuations.  Introduction: id{\'e}e 
7293                 des differentes m{\'e}thodes et leur comparaison",
7294         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 14",
7295         publisher = "Fac. Sci. Paris", 
7296         address = "Paris",
7297         year = 1954,   }
7298 
7299 @inproceedings{KRAS5,
7300         author = "Krasner, Marc",
7301         title = "Unicit{\'e} de prolongement des valuations dans les 
7302                 extensions alg{\'e}briques des corps valu{\'e}s 
7303                 metacomplets de {K}rull",
7304         booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 15",
7305         publisher = "Fac. Sci. Paris", 
7306         address = "Paris",
7307         year = 1954,   }
7308 
7309 @article{KUR2,
7310         author = "K{\"u}rsch{\'a}k, Jozsef",
7311         title = "A generalization of the concept of an absolute value",
7312         journal = "Mathematikai es termeszettudomanyi ertesito",
7313         year = 1912,
7314         volume = 30,
7315         pages = "699--749", }
7316 
7317 @article{MACL5,
7318         author = "MacLane, Saunders",
7319         title = "Abstract absolute values which give new 
7320                 irreducibility criteria",
7321         journal = "Nat. Acad. Sci. U.S.A. Proc.",
7322         year = 1935,
7323         volume = 21,
7324         pages = "472--474", }
7325 
7326 @article{MACL6,
7327         author = "MacLane, Saunders",
7328         title = "The ideal-decomposition of rational 
7329                 primes in terms of absolute values",
7330         journal = "Proc. Nat. Acad. Sci. U.S.A. ",
7331         year = 1935,
7332         volume = 21,
7333         pages = "663--667", }
7334 
7335 @article{MACL7,
7336         author = "MacLane, Saunders",
7337         title = "Steinitz field towers for modular fields",
7338         journal = "Trans. Amer. Math. Soc.",
7339         year = 1939,
7340         volume = 46,
7341         pages = "23--45", }
7342 
7343 @article{MACL8,
7344         author = "MacLane, Saunders",
7345         title = "Subfields and automorphism groups of p-adic fields",
7346         journal = "Ann. of Math (2)",
7347         year = 1939,
7348         volume = 40,
7349         pages = "423--442", }
7350 
7351 @inproceedings{MAH3,
7352         author = "Mahler, Kurt",
7353         title = "{\"{U}}ber Pseudobewertungen {I}a {Z}erlegungss{\"a}tze",
7354         booktitle = "Afdeling Natuurkunde. Proc. Sect. Sci.", 
7355         publisher = "Akademie van Wetenschappen",
7356         address = "Amsterdam",
7357         volume = 39,
7358         year = 1936,
7359         pages = "57--65",  }
7360 
7361 @article{MAH4,
7362         author = "Mahler, Kurt",
7363         title = "{\"{U}}ber {P}seudobewertungen {II}. ({D}ie {P}seudobewertungen
7364                 eines endlichen algebraischen {Z}ahlk{\"o}rpers)",
7365         journal = "Acta Math.",
7366         year = 1936,
7367         volume = 67,
7368         pages = "283--328", }
7369 
7370 @article{RY2,
7371         author = "Rychl{\'i}k, Karel",
7372         title = "On {H}ensel's numbers",
7373         journal = "Rozpravy",
7374         year = 1916,
7375         volume = 25,
7376         number = 55, }
7377 
7378 @article{RY3,
7379         author = "Rychl{\'i}k, Karel",
7380         title = "A contribution to the theory of fields",
7381         journal = "Casopis",
7382         year = 1919,
7383         volume = 48,
7384         pages = "145--165",  }
7385 
7386 @article{RY4,
7387         author = "Rychl{\'i}k, Karel",
7388         title = "Eine stetige nicht differenzierbare
7389                  {F}unktion im {G}ebiete der {H}enselschen {Z}ahlen",
7390         journal = "J. Reine Angew. Math.",
7391         year = 1923,
7392         volume = 152,
7393         pages = "178--179",  }
7394 
7395 @book{SAM,
7396         author = "Samuel, Pierre",
7397         title = "Le lemma de {H}ensel",
7398         publisher = "Secr{\'e}tariat Math.",
7399         year = 1956,
7400         series = "S{\'e}minaire A. Chatelet et P. DDubreil: 1953/54,
7401                  Alg{\`e}bre et th{\'e}orie des nombres",
7402         address = "Paris",  }
7403 
7404 @article{SCHI3,
7405         author = "Schilling, Otto Franz Georg",
7406         title = "Arithmetic in fields of formal power series in several variables",
7407         journal = "Ann. of Math. (2)",
7408         volume = 38,
7409         year = 1937,
7410         pages = "551--576",  }
7411 
7412 @article{SCHI-MOR,
7413         author = "Schilling, Otto Franz Georg and Moriya, M.",
7414         title = "Divisionalgebren {\"u}ber unendlichen perfekten {K}{\"o}rpern",
7415         journal = "J. Fac. Sci. Hokkaido Univ. Ser. I",
7416         volume = 6,
7417         year = 1937,
7418         pages = "103--111",  }
7419 
7420 @article{SCHW,
7421         author = "Schwartz, Friedrich",
7422         title = "Ein {S}trukursatz f{\"u}r eine 
7423                 {K}lasse von {P}seudobewertungen",
7424         journal = "Arch. Math. (Basel)",
7425         year = 1971,
7426         volume = 22,
7427         pages = "597--601",  }
7428 
7429 @article{TEI2,  
7430         author = "Teichm{\"u}ller, Oswald",
7431         title = "$p$-Algebren",
7432         journal = "Deutsche Mathematik",
7433         volume = 1,
7434         year = 1936,
7435         pages = "362--388",  }
7436 
7437 @article{TEI3,  
7438         author = "Teichm{\"u}ller, Oswald",
7439         title = "{\"{U}}ber die Struktur diskret bewerteter
7440                  perfekter {K}{\"o}rper",
7441         journal = "Nachr. Ges. Wiss. Goettingen, Math.-Phys. Kl.",
7442         volume = 1,
7443         year = 1936,
7444         pages = "151--161",  }
7445 
7446 @article{WITT2,
7447         author = "Witt, Ernst",
7448         title = "Zyklische {K}{\"o}rper und Algebren der {C}harakteristik $p$
7449                 vom {G}rad $p^{n}$. {S}truktur diskret bewerteter 
7450                 perfekter {K}{\"o}rper mit vollkommenem {R}estklassenk{\"o}rper
7451                  der {C}harakteristik $p$",
7452         journal = "J. Reine Angew. Math.",
7453         year = 1936,
7454         volume = 176,
7455         pages = "126--140",  }
7456 
7457