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0001
0002 @InCollection{RCA:01,
0003 author = {Grassmann, H. and Greuel, G.-M. and Martin, B. and Neumann, W. and Pfister, G. and Pohl, W. and Sch\"{o}nemann, H. and Siebert, T.},
0004 title = {Standard bases, syzygies and their implementation in SINGULAR},
0005 year = 1996,
0006 month = "July",
0007 booktitle = "Reports On Computer Algebra",
0008 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0009 number = 01,
0010 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0011 }
0012
0013
0014 @InCollection{RCA:02,
0015 author = {Sch\"{o}nemann, H.},
0016 title = {Algorithms in Singular},
0017 year = 1996,
0018 month = "June",
0019 booktitle = "Reports On Computer Algebra",
0020 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0021 number = 02,
0022 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0023 }
0024
0025
0026 @InCollection{RCA:08,
0027 author = "Siebert, T.",
0028 title = "On strategies and implementations for computations of free resolutions",
0029 year = "1996",
0030 month = "September",
0031 booktitle = "Reports On Computer Algebra",
0032 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0033 number = 08,
0034 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0035 }
0036
0037
0038 @InCollection{RCA:09,
0039 author = "Reinert, B.",
0040 title = {Introducing Reduction to Polycyclic Group Rings -- A Comparison of Methods},
0041 year = "1996",
0042 month = "October",
0043 booktitle = "Reports On Computer Algebra",
0044 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0045 number = 09,
0046 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0047 }
0048
0049
0050 @InCollection{RCA:10,
0051 author = {Bachmann, O. and Gray, S. and Sch\"{o}nemann, H.},
0052 title = {A Proposal for Syntactic Data Integration for Math Protocols},
0053 year = "1997",
0054 month = "January",
0055 booktitle = "Reports On Computer Algebra",
0056 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0057 number = 10,
0058 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0059 }
0060
0061
0062 @InCollection{RCA:11,
0063 author = "Bachmann, O.",
0064 title = "Effective Simplification of CR expressions",
0065 year = "1997",
0066 month = "January",
0067 booktitle = "Reports On Computer Algebra",
0068 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0069 number = 11,
0070 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0071 }
0072
0073
0074
0075 @InCollection{RCA:12,
0076 author = {Bachmann, O. and Gray, S. and Sch\"{o}nemann, H.},
0077 title = {{MP Prototype Specification}},
0078 year = "1997",
0079 month = "Dec",
0080 booktitle = "Reports On Computer Algebra",
0081 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0082 number = 12,
0083 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0084 }
0085
0086
0087 @InCollection{RCA:14,
0088 author = "Madlener, K. and Reinert, B.",
0089 title = {Relating Rewriting Techniques on Monoids and Rings: Congruences on Monoids and Ideals in Monoid Rings},
0090 year = "1997",
0091 month = "September",
0092 booktitle = "Reports On Computer Algebra",
0093 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0094 number = 14,
0095 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0096 }
0097
0098
0099 @InCollection{RCA:15,
0100 author = "Martin, B. and Siebert, T.",
0101 title = {{Splitting Algorithm for vector bundles}},
0102 year = 1997,
0103 month = "September",
0104 booktitle = "Reports On Computer Algebra",
0105 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0106 number = 15,
0107 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0108 }
0109
0110
0111
0112 @InCollection{RCA:16,
0113 author = "Madlener, K. and Reinert, B.",
0114 title = {{String Rewriting and Gr\"obner Bases -- A General Approach to Monoid and Group Rings}},
0115 year = "1997",
0116 month = "October",
0117 booktitle = "Reports On Computer Algebra",
0118 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0119 number = 16,
0120 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0121 }
0122
0123
0124 @InCollection{RCA:17,
0125 author = "Thomas Siebert",
0126 title = "An algorithm for constructing isomorphisms of modules",
0127 year = "1998",
0128 month = "January",
0129 booktitle = "Reports On Computer Algebra",
0130 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0131 number = 17,
0132 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0133 }
0134
0135
0136
0137 @InCollection{RCA:18,
0138 author = {Bachmann, O. and Sch\"{o}nemann, H.},
0139 title = {{Monomial Representations for Gr{\"o}bner Bases
0140 Computations}},
0141 year = "1998",
0142 month = "January",
0143 booktitle = "Reports On Computer Algebra",
0144 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0145 number = 18,
0146 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0147 }
0148
0149
0150 @InCollection{RCA:19,
0151 author = {Reinert, B. and Madlener, K. and Mora, T.},
0152 title = {A Note on Nielsen Reduction and Coset Enumeration},
0153 year = "1998",
0154 month = "February",
0155 booktitle = "Reports On Computer Algebra",
0156 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0157 number = 19,
0158 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0159 }
0160
0161
0162
0163
0164 @InCollection{RCA:23,
0165 author = {Birgit Reinert},
0166 title = {Observations on Coset Enumeration},
0167 year = "1998",
0168 month = "Nov",
0169 booktitle = "Reports On Computer Algebra",
0170 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0171 number = 23,
0172 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0173 }
0174
0175
0176 @InCollection{RCA:25,
0177 author = {Reinert, B. and Zeckzer, D.},
0178 title = {{Coset Enumeration using Prefix Gr\"obner Bases in {\sc Mrc} -- An Experimental Approach}},
0179 year = "1999",
0180 month = "Nov",
0181 booktitle = "Reports On Computer Algebra",
0182 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0183 number = 25,
0184 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0185 }
0186
0187
0188
0189
0190 @InCollection{RCA:20,
0191 author = {Reinert, B. and Zeckzer, D.},
0192 title = {{MRC -- A System for Computing Gr\"obner Bases in Monoid and
0193 Group Rings}},
0194 year = "1998",
0195 month = "July",
0196 booktitle = "Reports On Computer Algebra",
0197 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0198 number = 20,
0199 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0200 }
0201
0202
0203 @InCollection{RCA:22,
0204 author = {Madlener, K. and Otto, F.},
0205 title = {{Some Applications Of Prefix-Rewriting In Monoids, Groups, And Rings}},
0206 year = "1998",
0207 month = "November",
0208
0209 booktitle = "Reports On Computer Algebra",
0210 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0211 number = 22,
0212 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0213 }
0214
0215
0216 @InCollection{RCA:21,
0217 author = {Greuel, G.-M. and Pfister, G. and Sch\"{o}nemann, H.},
0218 title = {Singular version 1.2 User Manual },
0219 year = 1998,
0220 month = "June",
0221 booktitle = "Reports On Computer Algebra",
0222 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0223 number = 21,
0224 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0225 }
0226
0227
0228 @InCollection{RCA:26,
0229 author = {Reinert, B.},
0230 title = {{Solving One-Sided Equations in Integer Monoid Rings}},
0231 year = "2000",
0232 month = "Jan",
0233 booktitle = "Reports On Computer Algebra",
0234 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0235 number = 26,
0236 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0237 }
0238
0239
0240 @InCollection{RCA:27,
0241 author = {Bachmann, O. and Gr\"{a}be, H.-G.},
0242 title = {{The {\sc SymbolicData} Project: Towards an Electronic
0243 Repository of Tools and Data for Benchmarks of Computer Algebra
0244 Software}},
0245 year = "2000",
0246 month = "Jan",
0247 booktitle = "Reports On Computer Algebra",
0248 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0249 number = 27,
0250 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0251 }
0252
0253
0254 @InCollection{RCA:28,
0255 author = {Siebert, T.},
0256 title = {{Recursive Computation of Free Resolutions and a Generalized
0257 Koszul Complex}},
0258 year = "2000",
0259 month = "Jan",
0260
0261 booktitle = "Reports On Computer Algebra",
0262 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0263 number = 28,
0264 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0265 }
0266
0267
0268 @InCollection{RCA:29,
0269 author = {Greuel, G.-M.},
0270 title = {{Computer Algebra and Algebraic Geometry -- Achievements and Perspectives}},
0271 year = "2000",
0272 month = "Feb",
0273
0274 booktitle = "Reports On Computer Algebra",
0275 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0276 number = 29,
0277 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0278 }
0279
0280
0281 @InCollection{RCA:30,
0282 author = {Greuel, G.-M.},
0283 title = {{Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving}},
0284 year = "2000",
0285 month = "June",
0286
0287 booktitle = "Reports On Computer Algebra",
0288 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0289 number = 30,
0290 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0291 }
0292
0293
0294 @InCollection{RCA:31,
0295 author = {Greuel, G.-M. and Lossen, C. and Schulze, M.},
0296 title = {{Three Algorithms in Algebraic Geometry, Coding Theory, and
0297 Singularity Theory}},
0298 year = "2001",
0299 month = "March",
0300
0301 booktitle = "Reports On Computer Algebra",
0302 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0303 number = 31,
0304 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0305 }
0306
0307 @InCollection{RCA:32,
0308 author = {Fr\"uhbis-Kr\"uger, A. and Kr\"uger, K. and Sch\"onemann, H.},
0309 title = {{Dynamic Modules in SINGULAR}},
0310 year = "2003",
0311 month = "December",
0312
0313 booktitle = "Reports On Computer Algebra",
0314 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0315 number = 32,
0316 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0317 }
0318
0319 @InCollection{RCA:33,
0320 author = {Fr\"uhbis-Kr\"uger, A. and Pfister, G.},
0321 title = {{Practical Aspects of Algorithmic Resolution of Singularities}},
0322 year = "2004",
0323 month = "October",
0324
0325 booktitle = "Reports On Computer Algebra",
0326 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0327 number = 33,
0328 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0329 }
0330
0331
0332 @InCollection{RCA:34,
0333 author = {Tobis, E.A.},
0334 title = {{Libraries for Counting Real Roots}},
0335 year = "2005",
0336 month = "July",
0337
0338 booktitle = "Reports On Computer Algebra",
0339 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0340 number = 34,
0341 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0342 }
0343
0344 @InCollection{RCA:35,
0345 author = {Brickenstein, M.},
0346 title = {{Slimgb: Gröbner Bases with Slim Polynomials}},
0347 year = "2005",
0348 month = "September",
0349
0350 booktitle = "Reports On Computer Algebra",
0351 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0352 number = 35,
0353 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0354 }
0355
0356 @InCollection{RCA:36,
0357 author = {Levandovskyy, V.},
0358 title = {{Plural, a Non-commutative Extension of Singular:
0359 Past, Present and Future}},
0360 year = "2006",
0361 month = "June",
0362
0363 booktitle = "Reports On Computer Algebra",
0364 publisher = "Centre for Computer Algebra, University of Kaiserslautern",
0365 number = 36,
0366 note ="Online available at http://www.mathematik.uni-kl.de/~zca"
0367 }
0368