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Авторизация |
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Поиск по указателям |
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Herstein I.N. — Topics in algebra |
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Предметный указатель |
Rational canonical form 305 306 308
Rational functions 162 241
Rational functions, field of 162 241
Rational functions, symmetric 241
Real quadratic forms 350
Real quaternions 81
Real symmetric matrix 347
Real vector space 191
Reflexivity of relations 6
Regular 15—gon 232
Regular 17—gon 232
Regular 9—gon 232
Regular hexagon 232
Regular linear transformation 264
Regular pentagon 232
Regular septagon 232
Relation(s), binary 11
Relation(s), equivalence 6
Relation(s), reflexivity of 6
Relation(s), symmetry of 6
Relation(s), transitivity of 6
Relatively prime 19 147
Relatively prime integers 19
Remainder theorem 219
Representation, permutation 81
Representation, permutation, second 81
Residue, quadratic 116 360
Resolution, spectral 350
Restriction of mapping 17
Right coset 40
Right ideal 136
Right invertible 264
Ring(s) 120
Ring(s) of rational matrices 123
Ring(s) of linear transformations 261
Ring(s) of polynomials 161
Ring(s) of polynomials in n-variables 162
Ring(s) with unit element 121
Ring(s), associative 121
Ring(s), Boolean 9 130
Ring(s), commutative 121
Ring(s), division 126 360
Ring(s), Euclidean 143 371
Ring(s), homomorphisms of 131
Ring(s), isomorphisms of 133
Ring(s), nonassociative 121
Ring(s), polynomial 161
Ring(s), quotient 133
Ring(s), unit in 145
Root(s) 219 232
Root(s) of polynomial 219
Root(s), characteristic 270 286—289
Root(s), multiple 233
Root(s), multiplicity of 220 303
Row of matrix 277
Rule, Cramer's 331
Rule, De Morgan's 8
Samuel 169
Scalar matrices 279
Scalar product 192
Scalar(s) 171
Schneider 216
Schur's lemma 206
Schwarz' inequality 194
Second dual 188
Second permutation representation 81
Secular equation 332
Segal 119
Self-adjoint 341
Separable element 236
Separable extension 236
Septagon, regular 232
Set(s) 2
Set(s) of all one-to-one mappings 15
Set(s) of all subsets 12
Set(s) of integers modulo n 22 23
Set(s), difference 5
Set(s), disjoint 4
Set(s), empty 2
Set(s), image under mapping 12
Set(s), index 5
Set(s), infinite 17
Set(s), intersection of 3 4
Set(s), null 2
Set(s), orthonormal 2
Set(s), theory of 2
Set(s), union of 3
Siegel 216 259
Signature of a real quadratic form 352
Similar 285
Similarity class 285
Simple extension 235 236
Simple group 60
singular 264
Singular linear transformation 264
Skew-field 125
Skew-Hermitian 341
Skew-symmetric matrix 317
Solvable by radicals 250—256
Solvable group 116 252
Space(s), complex vector 191
Space(s), dual 184 187
Space(s), inner product 191 337
Space(s), quotient 174
Space(s), real vector 191
Space(s), vector 170
Span, linear 177
Spectral resolution 350
Splitting field 222—227 245
Straightedge and compass, construction with 228
Subgroup of G, characteristic 70
Subgroup of G, commutator 65 70 117 252 253
Subgroup of G, generated by a set 64
Subgroup(s) 37
Subgroup(s), commutator 65 70 117 252 253
Subgroup(s), conjugate 99
| Subgroup(s), cyclic 38
Subgroup(s), generated by a set 64
Subgroup(s), higher commutator 253
Subgroup(s), left coset of 47
Subgroup(s), nontrivial 38
Subgroup(s), normal 49
Subgroup(s), p-Sylow 93
Subgroup(s), right coset of 40
Subgroup(s), trivial 38
Submodule 202
Subset(s) 2
Subset(s), diagonal 6
Subset(s), proper 2
Subset(s), restriction of mapping to 17
Subset(s), set of all 12
subspace 172
Subspace, annihilator of 188
Subspace, cyclic 296 306
Subspace, invariant 285 290
Sum, direct 202
Sum, external direct 175
Sum, internal direct 174 175
Sylow 62 87 91
Sylow's theorem 62 91—101
Sylvester's law of inertia 352
Symmetric difference 9
Symmetric functions, elementary 242 243
Symmetric group(s) 28 75 241 253—257 284
Symmetric matrix 317
Symmetric polynomial 243 244
Symmetric rational functions 241
Symmetric rational functions, field of 241
Symmetry of relations 6
System of linear equations 189 190
System of linear equations, determinant of 330
System of linear equations, rank of 190
System, multiplicative 142
Theorem of algebra, fundamental 337
Theorem on symmetric polynomials 244
Theorem, Brauer — Cartan — Hua 368
Theorem, Cauchy's 61 87
Theorem, Cayley — Hamilton 263 309 334 335
Theorem, Cayley's 71 262
Theorem, Desargues' 361
Theorem, Fermat 44 152 366
Theorem, four-square 371
Theorem, Frobenius' 356 359
Theorem, Jacobson's 367
Theorem, Lagrange's 40 356 375
Theorem, little Fermat 44 366
Theorem, Pappus' 361
Theorem, remainder 219
Theorem, Sylow's 62 91—101
Theorem, unique factorization 20 148
Theorem, Wedderburn's 355 360 376
Theorem, Wilson's 116 152
Theory, Galois 237—259
Theory, matrix 260 273
Theory, set 2
Thompson 60
Trace 313
Trace of a linear transformation 314
Trace of a matrix 313
Transcendence of 216
Transcendence of e 216
Transcendental number(s) 214
Transformation(s), algebra of linear 261
Transformation(s), Hermitian linear 336 341
Transformation(s), invariants of nilpotent linear 296
Transformation(s), invertible linear 264
Transformation(s), linear 261
Transformation(s), nilpotent linear 268 292 294
Transformation(s), nonnegative linear 345
Transformation(s), normal linear 336 342
Transformation(s), range of linear 266
Transformation(s), rank of linear 266
Transformation(s), regular linear 261
Transformation(s), singular linear 264
Transformation(s), unitary 336 338
Transitivity of relations 6
TRANSPOSE 313 316
Transpose of a matrix 316
transpositions 78
Triangle inequality 199
Triangular form 285
Triangular matrix 284 286
Trisecting an angle 230
Trivial subgroups 38
Union of sets 3
Unique factorization domain 163
Unique factorization theorem 20 148
Unit in matrix algebra 279
Unit in ring 145
Unital R-module 201
Unitary transformation 336 338
Unity, primitive nth root of 249
Value of polynomial 209
Van der Waerden 259
Vandiver 362
Vector space(s) 170
Vector space(s), complex 191
Vector space(s), homomorphism of 173
Vector space(s), isomorphism of 173
Vector space(s), real 191
Vector(s) 171
Vector(s), characteristic 271
Vector(s), linearly dependent 177
Waring problem 377
Wedderburn 355 356 360
Wedderburn's Theorem 355 360 376
Weisner 259
Wielandt 92
Wilson's theorem 116 152
Wright 178
Zariski 169
Zero-divisor 125
Zero-matrix 279
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