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Hazewinkel M. — Handbook of Algebra (часть 1)
Hazewinkel M. — Handbook of Algebra (часть 1)



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Название: Handbook of Algebra (часть 1)

Автор: Hazewinkel M.

Аннотация:

The first volume of a multi-volume handbook intended to provide professional mathematicians with information on topics outside their own areas. The level is graduate and up; treatment of topics is too dense for use as a textbook. Articles in seven areas are to be published as they are received — rather than in volumes covering a single area — to avoid prolonged publishing delays. In addition to primary information, reference to relevant articles, books, and lecture notes guide the reader. Indexing is detailed. Volume 1 contains papers on linear (in)dependence; fields, Galois theory, and algebraic number theory; generalizations of fields and related objects; category theory; commutative rings and algebras; associative rings and algebras; and cohomology. Annotation c. by Book News, Inc., Portland, Or.


Язык: en

Рубрика: Математика/Справочники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 467

Добавлена в каталог: 29.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Martindale theorem      786
Maschke group      793 808
Maschke theorem      793
Mathieu groups      471
Matrices dependent on parameters      129
Matricial functions      119
Matrix Bezoutian      142
Matrix commutativity      558
Matrix convex real function      129
Matrix equation      81
Matrix exponential      119
Matrix Lyapunov equation      88
Matrix method for pseudorandom vectors      356
Matrix polynomials      120 134
Matrix polynomials which are positive semidefinite on the real line      140
Matrix Riccati equation      94
Matrix semiring      432
Matrix valued functions      119
Matroid      159
Matroid intersection theorem      168
Matroid of a matrix      160
Matroid partition theorem      167
Matroids as combinatorial pregeometries      160
Maximal $Q_r$-semiring      437
Maximal code      485
Maximal independent sets      160
Maximal period sequence in $F_q$      342
Maximal pro-p qoutient      284
Maximal quotient      868
Maximal tamely ramified extension      258
Maximal unramified extension      234 288
Maximum likelihood decoder      398
Maximum likelihood estimates      31
Maximum likelihood estimates of parameters of a multivariate normal distribution      31
Mc-module      489
McMillan degree      147
Message      484
Metafir      739
Metric matroids      168
Metroids      168
Micro-local analogue of Deligne’s theorem      830
Micro-local analysis      673 815
Middle-four-interchange law      535
Milnor conjecture      664
Milnor K-group      253
Milnor K-theory      664
Milnor’s conjecture      286 287
Milnor’s n-th K-group      286
Minimal dependent sets      160
Minimal distance of a code      484
Minimal factorization of rational matrices      147
Minimal faithful module      865
Minimal injective cogenerator      848
Minimal left ideal      441
Minimal polynomial      408
Minimal polynomial of a linear recurring sequence      341
Minimal proper algebraic extension      304
Minimal realization of a rational matrix      145
Minimizing double stochastic matrix      5
Minimizing matrix      5
Minimum distance of a nontrivial code      400
Minkovsky space      12
Minkovsky sum      13
Minor of a matroid      163
Minor-closed class      165
Mixed discriminants      11
Mixed volumes      13
Mod $\ell$ Hurewiez map      661
Model complete theory      277
Model- and recursion-theoretic aspects of dependence structures      161
Modification      554 568
Modular closure      194
Modular cuts      171
Modular fiat      164
Modular field extension      189 192
Modular lattice      164
Modular pair      164
Modulation      707
Module      280 565
Module twisted by an ring automorphism      855
Modules with regular singularities      815
Modules with regular singularities and short exact sequences      835
Modules with regular singularities on a curve      837
Modules with regular singularities over filtered rings      827
Modules with regular singularities over strongly filtered rings      826
Moebius function      172
Moebius invariant      172
Moebius inversion formula      323
Moments of random Vandermonde determinants      32
Monad      531
Monad matrix polynomial      548
Monic      136
Monic block eigenpair for a matrix polynomial      103
Monic block eigenpair of dimension d for a regular matrix pencil      83
Monic block Jordan pair      84
Monic matrix polynomial      101
Mono-semiring      429
Monoid      450 737
Monoid of projectives      758
Monoid ring      737
Monotone matrix function      128
Monotony domain      446
Moore proposition      254
Morita duality theorem      848
Morita equivalence theorem      847
Morita equivalent rings      780 847
Morita invariant      847
Morita Theory      673
Morphism in a derived category of modules      677
Morphism of bicategories      565
Morphism of frames      513
Morphism of R-modules      709
Morphism of S-sequences      683
Morphism of triangle functors      687
Morphism of triangles      683
Morphisms between topoi      509
Morphisms of coalgebras      633
Morphisms of left (or right) C-comodules      633
Morphisms of sites      512
Multilinear generalized polynomial      786
Multiple exchange property      168
Multiplication of rooted trees      495
Multiplicative form of the Moebius inversion formula      324
Multiplicative monotony law      446
Multiplicative representation      229
Multiplicative system      690
Multiplicative system associated with $\mathcal{M}$      695
Multiplicatively absorbing element      427
Multiplicatively commutative semiring      427
Multiplicatively idempotent element in a semiring      429
Multiplicatively idempotent semiring      428
Multiplicatively left cancellable element in a semiring      430
Mutually orthogonal Latin squares      350
n-ary operation      804
n-ary predicate      804
n-boundary in group homology      584
n-coboundary      281
n-coboundary in group cohomology      584
n-cochain      281
n-cocycle      281
n-cocycle in group cohomology      584
n-cube with commutative 2-faces      551
n-cube with commutative 3-faces      552
n-cycle in group homology      584
n-discrete valuation      224
n-fir      739
N-group      472 793 808
N-group primitive on G      473
N-groups of type 2      472
N-ideal in an N-group      472
n-irreducible element of a ring      754
n-matrix reduction functor      752
N-near-module      472
N-polynomial      327
N-simple N-group      472
n-simplex with commuting (m + 1)-faces      571
n-term weak algorithm      744
n-th cohomology group      281
n-th derived functor of a fixed point functor      585
N-th linear complexity      348
n-th Milnor K-group of a field      253
n-th power-residue symbol      379
n-th simplicial homotopy group      648
Nakayama automorphism      857
Nakayama automorphism of A      850
Nakayama Conjecture      843 870 871
Nakayama functor      858
Nakayama permutation      850 857
Narrow class-group      368
Narrow-sense BCH code      409
Natural density $\lambda$      380
Natural mapping      440
Natural numbers object      526
Natural system (of abelian groups) on $\mathcal{C}$      628
Near-domain      471
Near-field      467 469
Near-ring      465 466
Near-ring homomorphisms      466
Near-rings and automata      490
Near-rings and experimental designs      481
Nearfields      430
Nearly decomposable matrix      5
Nearrings      430
Negative cone      446
Negatively p.o. semigroup      446
Nerve as a functor      572
Nerve for a bicategory      573
Nerve N(A) of a category      572
Nerve N(K) of a 2-category      573
Nerve of $\mathcal{C}$      629
Nerve of a categorical structure      571
Nerve of a category      645
Nerve of an m-category      573
Nets      354
Neukirch construction      243
Neukirch — Pop — Efrat — Koenigsmann theorem      298
Niederreiter algorithm      332 344
Nil ring      770
Nil-algebra      386
Nilpotent algebra      386
Nilpotent ideal      781
Nilradical for semirings      443
nodes      454
Noether group      793 808
Noetherian ring      709 779
Nonabelian $H^2$      665
Nonabelian $H^3$      665
Nonabelian cohomology object      662
Nonarchimedean field      313
Noncommutative localization      823
Nondegenerate relative invariant      855
Nonlinear congruential methods      355
Nonsymmetric random matrices      36
Nontrivial unramified extensions of Q      368
Norm map      233 598
Norm on the left algebraic microlocalization      822
Norm residue      371
Norm residue symbol      248 380
Normal basis      326
Normal distribution of random vectors      31
Normal element      326 328
Normal form under conjugation for Malcev — Neumann series      738
Normal iterative higher derivation      199
Normal representatives      543
Normal system of random linear equations      61
Normalized comap      171
Normalized spectral function      48 69
Normalized spectral function of the $R_1$ and $R_2$ covariance pencil      70
Notion of dependence      159
Nowhere-zero flows on graphs      173
Null-homotopic complexes      692
Null-homotopic morphisms      677
Number of monic irreducible polynomials of degree n over $F_p$      324
Number of normal bases of $F_{q^n}$ over $F_p$      329
Number of polynomial bases of $F_{q^n}$ over $F_p$      328
Number of real eigenvalues of a random matrix      40
Number of self-dual normal bases of $F_{q^n}$ over $F_p$      329
O-minimal left ideal      442
Objects      531
Obstruction theory      650
Obstruction to lifting a projective representation      589
Operation      804
Operator-isomorphic $\Omega$-semimodules      444
Opposite 2-graph      534
Opposite element      428
Opposite of a graph      532
Optimal normal basis      329
Order      280 416
Order function of a filtration      818
Order function on a free algebra      748
Order of a pole of a rational function      417
Order of a polynomial      324
Order of a semiring      427
Order of a zero of a rational function      417
Ordered monoid      737
Ore conditions      822
Ore set      821
Ore theorem      799
Oriented matroid      169
Oriented matroid axioms      169
Oriented simplicial complex      642
Origin of the van der Waerden conjecture      7
Orthogonal circulant matrix      329
Orthogonal frequency squares      351
Orthogonal Latin squares      349
Orthogonal matroid of a matroid      163
Orthogonal system of polynomials over $F_q$      336
Orthogonal vectors      402
Ostrowsky — Schneider theorem on the Lyapunov equation      89
Ostrowsky’s theorem      225
Outer $\alpha$-derivation      734
Outer automorphism group      858
Output function      492
Outputs      492
Oval      353
Overmodule      709
p-Adic field      226
p-adic integers      227
p-adic valuation      224 296
p-adically closed field      296
p-adically projective group      312
p-class-field-tower      384
P-semi-simple ring      769
p-Sylow group      278
p.c. (proper class)      614
p.c. induced by $\omega$      623
p.c. of kernels      615
p.o. semigroup      446
p.o. semiring      446
P.V.      854
PAC      278 307
Parallel connection      494
Parallel elements in a matroid      160
Parity check matrix      402
Parity check matrix of a cyclic code      407
Parity check polynomial      407
Parity complex      556
Partial commutative free monoid      450
Partial multiplicities      137
Partially decomposable matrix      5
1 2 3 4 5 6 7 8 9
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