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Herstein I.N. — Topics in algebra
Herstein I.N. — Topics in algebra



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Название: Topics in algebra

Автор: Herstein I.N.

Язык: en

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2

Год издания: 1975

Количество страниц: 400

Добавлена в каталог: 16.05.2011

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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 $2\times 2$ 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 $\pi$      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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