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| Karpilovsky G. — The Jacobson radical of classical rings |
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| Предметный указатель |
H-projective module 483
Hall M. 229
Hampton 393
head 496
Herstein 59
Higman 483 490
Homogeneous component 64
Huppert 473 478
Idempotent 1
Idempotent, centrally primitive 1
Idempotent, lifting 37
Idempotent, primitive 1
Iizuka 509
Independent elements 277
Inductive set 3
Inertia group 213
Injective hull 151
Intertwinning number 496
Iwasawa 229
Iwasawa's theorem 229
Jacobson 32 109
Jacobson radical 17
Jacobson radical and annihilator 19
Jacobson radical and artinian rings 35 36
Jacobson radical and augmentation ideal 351
Jacobson radical and graded ideal 236
Jacobson radical and homomorphisms 17
Jacobson radical and idempotent-lifting rings 39
Jacobson radical and idempotents 22 39
Jacobson radical and induced modules 196
Jacobson radical and maximal ideals 19
Jacobson radical and nil ideals 21
Jacobson radical and normalizing basis 86
Jacobson radical and quasi-regular ideals 20
Jacobson radical and superfluous ideals 20
Jacobson radical and units 23
Jacobson radical and upper nilradical 25
Jacobson radical of artinian rings 35
Jacobson radical of commutative group algebras 348
Jacobson radical of complete rings 43
Jacobson radical of crossed products 174 196 197 261 262 264 266 267 281 282 283 284 286
Jacobson radical of direct products 22 459
Jacobson radical of endomorphism rings 71 76 77
Jacobson radical of factor rings 36
Jacobson radical of finite group algebras 468
Jacobson radical of formal power series 109
Jacobson radical of graded algebras 165 223 225 227 236 237 238 239
Jacobson radical of group algebras of Frobenius groups 298
Jacobson radical of group algebras of p-groups 296
Jacobson radical of group algebras of p-solvable groups 473
Jacobson radical of idempotent-lifting rings 39
Jacobson radical of local rings 45
Jacobson radical of matrix rings 22
Jacobson radical of maximal dimension 502
Jacobson radical of minimal dimension 503
Jacobson radical of normalizing extensions 86
Jacobson radical of opposite ring 21
Jacobson radical of polynomial rings 271
Jacobson radical of semiperfect rings 39
Jacobson radical of skew group rings 288
Jacobson radical of skew polynomial rings 279 280
Jacobson radical of strongly graded algebras 169 211 225 227 236 237 238 256
Jacobson radical of twisted group algebras 335
Jacobson radical, characterizations 19 21
Jacobson radical, graded 207 209
Jacobson radical, locally nilpotent 279
Jacobson radical, nil 106
Jacobson radical, nilpotent 54 55
Jacobson's density theorem 32
Jategaonkar 85
Jespers 234 235 249 250 253 256
Jespers theorems 250 256
Jespers — Krempa — Puczylowski theorem 249
JF-group 320
Johns 53
Johns theorems 53 54 55
Jonsson 46
Jordan C. 258 260
Jordan — Hoelder theorem 7
Karpilovsky 101 233 235 236 237 239 261 268 348 457 461 478
Karpilovsky's theorems 233 235 236 237 239 261 268 348
Kasch 490
Kernel 480
Kernel of principal blocks 482
Kneser 490
Knoerr 194 196
Knoerr's theorems 195 196 197
Koethe's Conjecture 272
Kostrikin 355 357
Kostrikin's theorem 355
Krempa 249 253 272 276 277
Krempa — Amitsur theorem 273
Krempa — Sierpinska theorem 277
Krull — Schmidt theorem 154
Kuelshammer 88 124 143 146 464 509 514 518 524
Kuelshammer's theorems 146 509 514
Kupisch 490
Lanski 59
Lattice 3
Lattice homomorphism 3
Lattice isomorphism 3
Left annihilator 23
Left singular ideal 51
Left socle 54
Left T-nilpotent 56
Left unit 20
Length 375
Levitzki 28
Levitzki radical 262
Levitzki's Theorems 28 30
Lichtman 355 356 357
Lichtman's theorems 355 356
Linearly disjoint subalgebras 97
Linked modules 143
Locally finite index 406
Locally nilpotent ideal 334
Locally subnormal subgroup 544
Loewy length 149
Loewy series 149
Lorenz 86
Lower central series 230
Lower nilradical 26 28
m-exchange property 46
M-graded algebra 160
M-graded algebra, component of 160
M-graded algebra, homogeneous degree of 160
M-graded ring 161
M-grading 160
M-grading, trivial 160
Maschke's theorem for crossed products 291
Matrix representation 137
Matrix units 13
Maximal submodule 3
May 347
May's theorem 347
Meldrum 320 321 323 324 325 326
Meldrum — Wallace theorems 321 323 324 325 326
Minimal polynomial 102
Modular law 3
Module 2
Module of finite length 8
Module, absolutely simple 137
Module, Artinian 3
Module, basis of 3
Module, coinduced 185
Module, composition length of 8
Module, direct product of 2
Module, direct sum of 2
Module, dual 149
Module, faithful 18
| Module, finitely cogenerated 3
Module, finitely generated 3
Module, flat 187
Module, G-invariant 213
Module, graded-maximal 203
Module, graded-semisimple 204
Module, graded-simple 202
Module, homogeneous 64
Module, homogeneous component of 64
Module, indecomposable 2
Module, induced 183
Module, injective 75
Module, left 2
Module, M-graded 198
Module, Noetherian 3
Module, principal indecomposable 141
Module, projective 75
Module, right 2
Module, semisimple 8
Module, simple 2
Module, uniserial 150
Module, unital 2
Monoid 160
Monoid algebra 170
Monoid ring 170
Monoid, cancellative 161
Monoid, crossed product 174
Monoid, free 172
Monoid, free commutative 171
Monoid, homomorphism of 164
Monoid, left cancellative 161
Monoid, ordered 246
Monoid, right cancellative 161
Monoid, right-ordered 241
Montgomery 223 292 294
Montgomery's theorem 294
Morita 88 149 155 483 486 491
Morita — Azumaya — Nakayama theorem 155
Morita's theorems 155 486 491
Motose 498
Motose's theorem 498
Multilinear monomial 364
Multiplicity 496
N*-radical 405
Nakayama 88 134 149 154 155
Nakayama's theorems 149 154
Nastasescu 215 218 222 223 225 227 238 240
Nastasescu's theorems 215 218 222 223 225 227
Nesbitt 501 505
Nicholson 37 38 41 48 50
Nicholson — Warfield theorem 50
Nicholson's theorems 48 50
Nil ideal 1
Nilpotency index 458
Nilpotent class 230 521
Nilpotent element 1
Nilpotent ideal 1
Nilpotent radical 307
Nilradical of RG 347
NJF-group 320
Nondegenerate polynomial 366
Normalizing basis 86
Normalizing element 83
Normalizing extension 82
Normalizing generators 82
Novikov 357
Orthogonal idempotents 1
Osima 475
Osima's theorem 475
p-complement 459
p-rank 368
p-regular conjugacy class 465
p-regular section 465
p-singular conjugacy class 465
Passman 86 121 239 246 250 292 295 298 302 312 313 314 315 317 318 319 330 333 335 359 360 361 363 366 367 372 381 393 401 405 408 411 414 415 419 422 424 425 427 428 429 430 436 437 438 449 453 455 457 461 475
Passman's Theorems 312 314 315 318 319 333 335 360 363 367 372 381 401 408 411 414 415 419 422 436 437 438 455 456
Prime ideal 25
Prime radical 26
Primitive element 101
Primitive ideal 18
Primitive polynomial 328
Principal block 477
Principal block of p-constrained groups 485
Principal left annihilator 56
Principal right annihilator 56
Projective cover 130
Projective cover of trivial module 484
Projective cover, existence 132
Projective cover, uniqueness 132
Projective limit ring 43
Promislow 243
Puczylowski 234 235 249 253
Puczylowski's theorem 270
Purely inseparable element 103
Quasi-primary block 155
Quasi-regular element 20
Quasi-regular element, left 20
Quasi-regular element, right 20
Quasi-regular subset 20
Quotients of series 321
R-balanced map 89
Radical ideal 436
Radical of module 73
Radical of module, characterization 74
RAM 258 262 269 279 280
Ram's theorem 280
Reid 297
Reiner 497 511
Representation 137
Representation as functionals 302
Representation, completely reducible 137
Representation, equivalent 137
Representation, indecomposable 137
Representation, irreducible 137
Representation, matrix 137
Representation, regular 137
Representation, underlying module of 137
Resco 82 84 86
Resco — Lorenz theorem 86
Residually nilpotent ideal 42
Right singular ideal 51
Right socle 54
Right T-nilpotent 56
Right unit 20
Ring 1
Ring of polynomials 171
Ring, Artinian 3
Ring, associative 1
Ring, centre of 1
Ring, commutative 1
Ring, direct product of 2
Ring, exchange 50
Ring, idempotent-lifting 37
Ring, local 45
Ring, Noetherian 3
Ring, opposite 1
Ring, prime 25
Ring, primitive 18
Ring, reduced 346
Ring, regular 34
Ring, semi regular 38
Ring, semiperfect 39
Ring, semiprime 26
Ring, semiprimitive 20
Ring, strongly prime 25
Robinson D. 229 232
Robinson G. 518
Schneider 267
Schur's lemma 32
Second cohomology group 181
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