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| Авторизация |
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| Jensen C.U., Lenzing H. — Model Theoretic Algebra with particular emphasis on Fields, Rings, Modules |
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| Предметный указатель |
Socle of module 409
Soublin, J. -P. 229 254 259
Spectral category 175
Springer, T. A. 312
Stable range condition 271
Stable rank 271—272
Stable rank of ring of continuous functions 272
Standard indentity 273
Steinitz's theorem 5—6 22—23 306
Stenstrom, B. 98 239 264
Structure constants 20 330
Structure constants normalized 315
Subfield existentially closed 19
Subfield of codimension two 23
Subfunctor 380
Subgroup, definable 125 161 171
Subgroup, finitely definable 92—93 96—99 126 161 164 170—171 181
Subgroup, positive-primitive definable 92
Submodule, elementary 123 229 237 240 244
Submodule, pure 96 105 109 123 164 240 242 244 256 374
Submodule, small 409
Submodule, torsion 109
Subscheme, closed 345
Subscheme, constructible 315 342
Subscheme, open 314 345
Subscheme, principal open 314
Sum of squares 8
Suslin, A. A. 271
Swan, R. G. 198
Szmielew, W. 158
T-equi valence for formulas 306
T-nilpotent 409
Tachikawa, H. 166 356
Tarski's theorem 9 23 42
Tarski, A. 67 175
Theorem, of Hasse and Siegel 24
Theorem, of Puiseux 23
Theorem, of Tarski 23
Theorem, place extension 305 330
Torsion module 320
Torsion submodule 109
Torsion-free module 109 116—117 119
Total valuation 51
Transcendency degree 64—66
Transcendency degree, infinite 40
Transcendency degree, of prime pi-algebra 276
Transcendency degree, over the rationals 38
Translation theorem 80 86 88
Transpose of module 333
Tretkoff, M. 77
Tschampel, L. 258 261
Tsen, C. C. 30
Two-sorted first order language 225
Ultrafilter 1
Ultrafilter,  -complete 156
Ultrafilter, -incomplete 329
| Ultrafilter,  -incomplete 156
Ultrafilter, principal 2
Ultrapower 2
Ultrapower of flat modules 229
Ultrapower of the integers 74
Ultrapower theorem 91
Ultraproduct 2 15 79
Ultraproduct, algebraically compact 192
Ultraproduct, of  -injective modules 152
Ultraproduct, of fields 2
Ultraproduct, of finite dimensional algebras 325
Ultraproduct, of indecomposable modules 327
Ultraproduct, of modules 225
Ultraproduct, of primitive rings 268
Ultraproduct, of representation-finite algebras 343
Uniform coherence of ultraproduct 255
Uniform functor 199 199
Uniform module 184 238 241
Uniformly coherent ring 72 229—232 236—237 254—256 259 409
Unimodular row 271
Uniserial category 209
Universally admissible field 77—80 87 89
Valuation domain 44—45 50 58 69 98 109 111 249 306 320
Valuation domain, discrete 56 250
Valuation domain, maximally complete 47 288 323
Valued field maximally complete 288
Vamos, P. 31 121 123 159 283 355 398
Van den Dries's test 308—309 344 347
Variety, affine 310
Variety, of algebras 316
Vasershtein, L. N. 271—272
Villamayor, O. E. 183
von Neumann regular ring 127 160 169 181 183 195 232 239 247—248 254 261 265 268 270 282 285 291 409
Waerden, B. L. van der 23 62
Walker, E. A. 163
Warfield, R. B. 128
Waterhouse, W. C. 312—313
Weak dimension, of module 123 231 233
Weak dimension, of ultraproduct 233
Weak global dimension 72 253 260 370
Weak global dimension of ultrapower 260
Weak homological dimension 231 369
Weierstrafi's theorem 172
Weierstrafl, K. 293
Weissauer, R. 75
Whaples, G. 81
Width of ring 232—233 245
Witt, E. 81
Yoneda's lemma 314 386
Zariski topology 311
Zariski's problem 34
Zariski, O. 51
Zayed, M. 325
Zelinsky, D. 169 263 289
Ziegler, M. 93 99—100 181
Zimmermann, W. 92 163 171 282
Zimmermann-Huisgen, B. 163 282
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