|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Birkhoff G., Mac Lane S. — A Survey of Modern Algebra |
|
|
|
| Предметный указатель |
Ring, noncommutative 395
Root field 452ff.
Root field isomorphism 455
Root field, normal 468
Roots of equations 79 101 112ff.
Roots of equations, cubic 102 119 474ff.
Roots of equations, polynomial 101
Roots of equations, quartic 121
Roots of unity 112
Roots of unity, primitive 113
Rotation 125 214
Row equivalent 181ff. 186 246
Row matrix 232
Row rank 242
Row reduced 183
Row space 180
Saddle-point 291
scalar 168
Scalar matrix 229 232
Scalar multiples see "Product"
Scalar product 168 172 221
Schroeder — Bernstein theorem 387
Schwarz inequality 201
Self-conjugate subgroup 159
Semidistributive laws 375
Separable extension 465
Separable polynomial 465
Set 32 357
Shear transformation 217 247
Signature of quadratic form 289
Signum (of permutation) 319
Similar matrices 264 333
Similarity transformation 132 276
Simple extension of field 421
Simple linear algebra 414
Simultaneous congruences 27 43
Simultaneous indeterminates 73
Simultaneous linear equation 47 182 247 318
Singular matrix 235
Skew-linearity 301
Skew-symmetric matrix 283
Skew-symmetry 301
Solution by radicals 121ff. 480
Solution space 191
Solvable group 479
span 174
Spectrum 265
Square, group of 124ff.
Stable type (equations) 122
Subalgebra (of Boolean algebra) 368
Subdomain 7
Subfield 40
Subgroup 143
Subgroup, normal 159 473
Sublattice 378
SubMatrix 233 320 326
Subring 70 396
Subset 32 357ff.
subspace 173ff. 185ff.
Subspace, affine 306
Subspace, invariant 344
Subspace, parallel 207
Subspace, T-cyclic 344
Substitution property 26 165
Successor function 57
SUM see also "Addition" "Direct
Sum of ideals 407
Sum of matrices 221
Sum of subspaces 174
| Surjection 33
Sylvester's law of inertia 288
Symmetric difference 376
Symmetric group 130 154 481
Symmetric law 3 34 199
Symmetric matrix 283
Symmetric polynomial 154 470
Symmetries 124 131
Tensor product 254
Total matrix algebra 397
Trace of a matrix 336
Transcendental extension 422
Transcendental extension number 422
Transformation 126
Transformation, affine 269ff. 298 330
Transformation, linear 216ff. 241
Transformation, one-one, onto 128
Transformation, orthogonal 273
Transformation, projective 314
Transformation, unitary 300
Transforms, set of 241
Transitive Law 3 9 26 34
Transitive law for inclusion 357 372
Transitive relation 34
Translation 269
Transpose of matrix 219 231 320
Triangle inequality 201
Triangular matrix 229 322
Trichotomy (law of) 9 10
Trigonometric solution of cubic 102
Trisection of angle 434
Two-sided ideal 413
Unary operation 362
Unimodular group 330
union 358 see
Unique factorization 23ff. 80ff.
Unique factorization domain 84
Unique factorization of algebraic integers 450
Unique factorization of Gaussian integers 441
Unique factorization of polynomials 80ff.
UNIT 16 76 439 449
Unit vectors 176
Unitary basis 302
Unitary matrix 300ff. 302
Unitary space 301
Unitary transformations 300
Unity 2 396
Unity for commutative rings 2 69
Universal bounds 359
Universality 254
Upper bounds 96 374
Vandermonde determinant 323
Vector 168ff.
Vector addition 170
Vector equations 188
Vector product 258
Vector space 172ff.
Vector space, dimension of 169 178
Vector, characteristic (eigenvector) 265
Vector, unit 176
Vector, zero 172
Venn diagram 357
Vieta substitution 119
Volume 327
Well-ordering principle 11
Winding number 115
Zero 2 347 see
Zero divisor 6 69
Zero matrix 221
Zero vector 172
|
|
|
| Реклама |
|
|
|
|
|
О проекте