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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.",
0389 volume = 158,
0390 year = 1927,
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,
0416 number = 1,
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", }
0453
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,
0498 pages = "28--55",
0499 note = "MathSciNet review: 28 {\#}5064", }
0500
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", }
0509
0510 @article{A8a,
0511 author = "Abhyankar, Shreeram",
0512 title = "Corrections: Uniformization of {J}ungian local domains",
0513 journal = "Math. Ann.",
0514 volume = 160,
0515 year = 1965,
0516 pages = "319--320",
0517 note = "MathSciNet review: 32 {\#}2414", }
0518
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",
0542 journal = "Math. Ann.",
0543 volume = 170,
0544 year = 1967,
0545 pages = "87--144",
0546 note = "MathSciNet review: 34 {\#}7513", }
0547
0548 @article{AX-KOC1,
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", }
0613
0614 @article{CHER2,
0615 author = "Cherlin, Gregory L.",
0616 title = "Model theoretic algebra",
0617 journal = "J. Symbolic Logic",
0618 volume = 41,
0619 number = 2,
0620 year = 1976,
0621 pages = "537--545",
0622 note = "MathSciNet review: 54~{\#}90", }
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", }
0689
0690 @article{EK,
0691 author = "Eklof, Paul C.",
0692 title = "Lefschetz's {P}rinciple and local functors",
0693 journal = "Proc. Amer. Math. Soc.",
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,
0765 pages = "836--856",
0766 notes = "MathSciNet review: 97e:14033", }
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,
0800 year = 1968,
0801 pages = "45--89",
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,
0820 notes = "MathSciNet review: 30 {\#}3087", }
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
0869 @article {OR,
0870 author = "Ore, Oystein",
0871 title = "On a special class of polynomials",
0872 journal = "Trans. Amer. Math. Soc.",
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
0886 @article {POP6,
0887 author = "Pop, Florian",
0888 title = "Embedding problems over large fields",
0889 journal = "Ann. of Math.~(2)",
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
0924 @article {RIB17,
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,
0931 pages = "3--24",
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,
2284 author = "Hill, Paul and Megibben, Charles",
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", }
4307
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",
4405 title = "Anneaux {N}ormaux R{\'e}els {\`a} {C}aract{\`e}re {F}ini",
4406 journal = "Summa Brazil. Math.",
4407 year = 1956,
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 ", }
4713
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", }
4732
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", }
4783
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",
4789 year = 1991,
4790 volume = 56,
4791 number = 4,
4792 pages = "1236-1242",
4793 note = "European Mathematical Society review: 746.03028", }
4794
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",
4804 note = "MathSciNet review: 87a:13013", }
4805
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 ", }
4816
4817 @article{EFR2,
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", }
4826
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", }
4836
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 ", }
5438
5439 @article{VDP2,
5440 author = "van der Put, Marius",
5441 title = "Continuous derivations of valued fields",
5442 journal = "Bull. Soc. Math. France",
5443 volume = 101,
5444 year = 1973,
5445 pages = "71--112", }
5446
5447 @article{MA-SC,
5448 author = "MacLane, Saunders and Schilling, Otto Franz Georg",
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
5472 @article{DE-HA,
5473 author = "Deck, K. and Harrison, D. K.",
5474 title = "Properties of fields ",
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", }
5538
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
5636 @article{LICH,
5637 author = "Lichtman, A. I.",
5638 title = "Valuation methods in division rings",
5639 journal = "J. Algebra",
5640 volume = 177,
5641 year = 1995,
5642 number = 3,
5643 pages = "870--898",
5644 note = "MathSciNet review: 96h:16049", }
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",
5653 address = "Amsterdam-New York",
5654 year = 1987,
5655 volume = 12,
5656 pages = "287--314",
5657 note = "MathSciNet review: 89j:11116", }
5658
5659 @article{LUB,
5660 author = "Lubin, Jonathan",
5661 title = "Non-Archimedean dynamical systems",
5662 journal = "Compositio Math.",
5663 volume = 94,
5664 year = 1994,
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
5690 @article{DE-LI2,
5691 author = "Denef, Jan and Lipshitz, Leonard",
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",
5698 note = "MathSciNet review: 85j:12010", }
5699
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",
5708 note = "[special issue suppl.] MathSciNet review: 99c:03060", }
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 ", }
5747
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",
5756 note = "MathSciNet review: 95d:11162", }
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,
5765 pages = " 417--479",
5766 note = "MathSciNet review: 98b:11047", }
5767
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",
5802 note = "MathSciNet review: 97j:14024", }
5803
5804 @article{LI2,
5805 author = "Li, Hua-Chieh",
5806 title = "Counting periodic points of $p$-adic power series",
5807 journal = "Compositio Math.",
5808 volume = 100,
5809 year = 1996,
5810 number = 3,
5811 pages = "351--364",
5812 note = "MathSciNet review: 97c:11109", }
5813
5814 @article{RA-TO-VI,
5815 author = "Rammal, R. and Toulouse, G. and Virasoro, M. A.",
5816 title = "Ultrametricity for physicists",
5817 journal = "Rev. Modern Phys.",
5818 volume = 58,
5819 year = 1986,
5820 number = 3,
5821 pages = "765--788",
5822 note = "MathSciNet review: 87k:82105", }
5823
5824 @article{TATE,
5825 author = "Tate, John",
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", }
5832
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",
5840 pages = "893--913",
5841 note = "MathSciNet review: 90c:58088", }
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", }
5864
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", }
5926
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",
6015 note = "MathSciNet review: 89k:12012", }
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