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Hazewinkel M. (ed.) — Handbook of Algebra, Volume 4
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Название: Handbook of Algebra, Volume 4
Автор: Hazewinkel M. (ed.)
Аннотация: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest.
In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc.
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Рубрика: Математика /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 2006
Количество страниц: 518
Добавлена в каталог: 30.06.2008
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Предметный указатель
-diagram 347
-group 474
-group 474
-space 363 452
5
5
5
416
390
-group 481 482
-transformation 440
-leader 255
-subvariety 264
-variety 263
-variety over a -field 266
-variety 263
-spectrum 11
-group 483—485
-Sylow torus 344
-torus 343
-group 485
-minimality 478
-linearly independent 275
- field 245
-algebra 290
-algebraic 250 252 280
-algebraic field extension 250 280
-algebraically dependent 250
-algebraically independent 250 280 296
-algebraically independent, indexing 296
-algebraically independent, set 296
-automorphism 247
-compositum 249
-dimension 271
-domain 312
-endomorphism 247
-factor ring 247
-field extension 245
-field of fractions 250
-Galois group 314
-generators of a -ideal 246
-homomorphism 247 269
-homomorphism of D-modules 269
-homomorphism of filtered -R-modules 274
-ideal 245
-indeterminate 250 296
-invariant 314
-invariant subgroup 314
-isomorphic 295
-isomorphism 247
-K-algebra 290
-negative 441
-normal 317 318
-normal extension 317 318
-operator 268
-overfield 245 252
-overfield of finite degree 311
-overring 245 312
-place 312
-positive 441
-quotient ring 247
-R-module 268
-ring of fractions 250
-specialization 312
-stable 314
-stable subgroup 314
-subring 245
-subring of periodic elements 302
-subring of R generated by the set B over 247
-subset 249
-transcendence basis 280 282 293
-transcendence degree 281 282 290
-transcendental 250
-type 271 282
-valuation 312
-valuation, ring 312
-vector space 268
-field of residue classes 291
-algebra 290
-algebraically dependent 280
-algebraically independent 251
-dimension polynomial 273 275 283 285
-dimension polynomial of a system of -equations 286
-dimension polynomial of an ideal 285
-field 245
-field extension 245 247
-generators 247
-ideal 245 286
-indeterminates 251 256
-K-algebra 290
-linearly dependent 275
-overfield 245 252
-R-module 272
-ring 245
-ring of fractions 250
-subfield 245
-subring 245
-subset 249
-type 283
-vector space 291
-negative 441
-positive 441
-algebra structure 454
(2, 3)-generated group 387
(2, 3, 7)-generated 415
(2, 3, 7)-generated group 387 397
(2, 3, 7)-generating triple 391 399 408 415
(2, 3, 7)-generators 397
(2, 3, k)-generated 410 415
(2, 3,k)-triple 403
(k, l, m)-generated 388
(k, l, m)-generating triple 388
(k, l, m)-triple 388
2-cocycle 192 199
2-cocycle deformation 217
Abstract triangle group 388
Acyclic 14
Acyclic complex 23
Acyclic simplicial group 10
Acyclic simplicial ring 10
Additivity theorem 5 24
Adian theorem 490
Adian, S.I. 479 487
Adjoint action 124 187 214 221
Admissible epimorphism 15
Admissible monomorphism 15
Affine algebraic group 176
Affine algebraic variety 87
Affine group scheme 176 226
Affine quotient 203
Affine reflection 374
Affine Weyl group 358 374
Alexander polynomial 368
Alexander theorem 366
Algebra of -polynomials 250
Algebra of -polynomials 251 256
Algebra of difference polynomials 250
Algebra of generalized characters 190
Algebra of inversive difference polynomials 251
Algebra of lowering and raising operators 121
Algebra of symmetric functions 340
Algebraic -overfield 306
Algebraic -equation 252 286
Algebraic closure 40 294 299
Algebraic geometry 175
Algebraic group 194 203 361
Algebraic matrix group 316
Algebraic solution 253 254
Algebraic solution of a set of -polynomials 253
Algebraic subset 325
Algebraic vector bundle 16
Algebraically independent 292
Algebraically irreducible -polynomial 299
Almost centralizing extension 87
Almost cocommutative 189
Almost every solution 305
Almost every specialization 305
Almost every specialization has a property 305
Almost layer-finite 485
Almost locally soluble 475
Almost locally soluble, group 479 488
Almost nilpotent group 483
Alt(?) 415
Alternating group 391
Analytic isomorphism 30
Annuls 252
Anti-Chern character 6 46
Antipode 175 182 196
Aperiodic -field 267
Arithmetic Fuchsian group 411
Arnold, V.I. 429 453 454
Artin braid group 362 368
Artin group 430 444
Artin group of crystallographic type 368
Artin presentation 436
Artin, E. 365 429 435
Artin-Brieskorn braid group 444
Artin-Brieskorn group 444 445
Artinian -ring 273
Artinian difference ring 269
Ascending chain condition 260
Ascending filtration 268
Associate graded -module 269
Associativity isomorphism 209
Auslander purity of the branch locus 341
Automatic group 445
Automorphism group 429
Automorphism group of a free group 413 434
Automorphism group of an algebraic curve 387
Automorphism of permutation-conjugacy type 449
Autoreduced 277
Autoreduced set 255
Autoreduced set of -polynomials 257
Autoreduced set of differential polynomials 256
Autoreduced set of inversive difference polynomials 258
Autoreduced set of lowest rank 258
Autoreduced subset of lowest rank 256 278
Averaging element 184
Averaging map 187
B type pattern 162
b-invariant 369
Babbitt decomposition 307
Bad prime 357
Baer, R. 472
Baez — Birman monoid 431 450
Baez, J. 431
Baird, G.E. 111
Bakhova, M.Yu. 469
Base 439
Basic invariants 341
Basic set 244
Basis 260 316
Basis for transformal transcendence 280
Bass, H. 5
Beilinson motivic cohomology 41
Benign -field extension 306
Bernoulli numbers 34 51
Bernstein inequality 79 88
Betweenness condition 117 127
Bi-Galois object 202 210
Biadditive 66
Bialgebra 175 181 182
Bialgebra algebra 202
Bialgebra in a braided category 218
Bialgebra in a braided tensor category 219
Bialgebra, homomorphism 182
Biautomatic 445
Bicharacter 190
Biedenharn, L.C. 111
Biexact 66
Big etale site 39
Big Zariski site 39
Bigelow, S. 442
Biideal 182
Bijectivity of the antipode 219
Binary finite 469 470
Binary finite group 479
Binary finiteness 469
Binary soluble 474
Biprimitive finiteness 469 471
Biprimitively finite 469
Biproduct 193 220
Birch, B. 52
Bireflection 374
Birman — Murakami — Wenzl algebra 443
Birman, J.S. 431 436 441 443 450
Bloch cycle group 43
Bloch higher Chow group 6 43
Bloch — Kato conjecture 5 38 42
Bonsfield — Kan construction 9
Borel regulator 52
Borel subalgebra 140 147
Borel subgroup 361
Borel, A. 44 52
Bosonization 193 220
Bott periodicity 9
Bounded chain complex 21 23 58
Bounded complex 23
Braid 429 431
Braid group 211 340 362 365 368 373 374 429
Braid group in the solid torus 430
Braid group of a complex reflection group 362
Braid group of a group action 444
Braid group of a handlebody 446
Braid group of a solid torus 446
Braid group of a sphere 446
Braid group of the action of W on Y 444
Braid group of the sphere 430
Braid group on n strings 366
Braid group relations 448
Braid groups in 3-manifolds 430
Braid groups in handlebodies 430
Braid groups of Riemann surfaces 430
Braid monoid 365
Braid relation 212
Braid-permutation group 431 448
Braided category 210
Braided Hopf algebra 188 219
Braided monoidal category 217
Braided tensor category 210 211 214 219
Braiding 190 229
Braiding structure 219
Branching rule 111—113 116 117 120 142 154 159
Bratteli diagram 113
Brauer character 406 409
Brauer group 34 37 40 217
Brauer — Long group 217
Brieskorn, E. 430 444 445 453 454
Bruhat cell 362
Bruhat decomposition 351 361
Bruhat order 350
Bruhat — Chevalley order 350 362
Burau relations 437
Burau representation 368 429 430 442
Burau, W. 437
Burnside group 484
Burnside p-group 487
Burnside problem 487
C*-algebra 175 197
Cancellation law 350
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