Hazewinkel M. — Handbook of Algebra (часть 1) :: Электронная библиотека попечительского совета мехмата МГУ

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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:

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

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Предметный указатель

$3 \times 3$ -lemma      617
      740
-field      309
-invariant subspaces      137
$H_O(\mathbb{S})$       651
$H_O(\mathcal{C})$       651
$H_\infty$ -control      148
$n \times n$ matrix      480
$n \times n$ matrix over a near-ring      480
$n \times n$ -matrix-near-ring      480
-semifield      437
-semigroup      436
-semiring      437
      674
      744
      744
      744
$\alpha$ -derivation      734
$\mathbb{C}$ -bimodule      628
$\mathbb{C}$ -module      625
$\mathbb{D}^b$ (Mod R)      677
$\mathbb{G}$ -coalgebras      506
$\mathbb{Z}_l$ -extension      295
$\mathcal{D}$ -modules      815
$\mathcal{D}$ -projective group      311
$\mathcal{D}_1$ -module with regular singularities      825
$\mathfrak{M}_\upsilon$ -adic topology      227
$\omega$ -acyclic complex      617
$\Omega$ -composition group      469
$\Omega$ -group      476
$\Omega$ -homomorphism      444
$\omega$ -injective object      615
$\Omega$ -isomorphic $\Omega$ -semimodules      444
$\omega$ -projective object      615
$\omega$ -proper short exact sequence      614
$\omega$ -proper short exact sequence in a category of complexes      617
$\omega$ -quasi-isomorphism      619
$\Omega$ -semimodule      444
$\phi$ -derivation      469
$\Sigma$ -semimodule      451
$\Sigma$ -semimodule of formal infinite sums      452
$\Sigma$ -semiring      452
$\upsilon$ -independent family      743
(C, D)-bicomodule      633
(G,H)-proper exact sequences      624
(G,K)-factor set      776
(R,S)-proper short exact sequences      624
*-complete $\Sigma$ -semiring      453
0-cells      531
1-cells      532
1-coboundary      281
1-computad      555
1-Factor      17
1-fir      739
1-irreducible element      754
2-category      535
2-category of topoi      509
2-cells      509 533
2-computad      555
2-dimensional category      509
2-functor      536 567
2-graph      533
2-primitivity      473
2-radical      473
2-semisimplicity      473
3-category      554
3-computad      555
3-computad morphism      555
3-fold transitive      474
36 officers problem      350
4-point line      166
5-point line      166
A-bilinear form      848
Abelian category      531 614 680
Abelian set of higher derivations      198
Absolute cohomology      626
Absolute cohomology of a category      626
Absolute cohomology of a functor      626
Absolute Frobenius automorphism       277
Absolute Galois group      271 274
Absolute index of ramification      237
Absolute inertia degree      242
Absolutely flat rings      723
Absorbing zero      427
Abstract coordinates      170
Acyclic complex      691
Acyclic in degree n      691
Acyclicity in an abelian category      692
Adams operations      662
Addition of rooted trees      495
Additive closure      474
Additive closures of near-rings      474
Additive order of an element $\alpha \in F_{q^n}$       326
Additively absorbing      429
Additively commutative semiring      427
Additively idempotent element in a semiring      429
Additively idempotent semiring      429
Additively left cancellable element in a semiring      430
Additively noncommutative rings      427
Adele class-group      374
Adeles      373
Adjointness of realization and singular chain functor      646
Adjunction of a double-absorbing element to a semiring      431
Adjunction of an absorbing zero to a semiring      431
Adjunction of an identity to a semiring      432
Admissible horn      573
Affine near-ring      468
Affine plane      470
AG code      417
Aleksandrov inequalities for mixed discriminants      11
Algebra of a group      792 807
Algebra of differential operators (Weyl algebra)      765
Algebraic adjoint      121
Algebraic algebra      779
Algebraic closure geometry      164
Algebraic geometry code      412 417
Algebraic matroids      164
Algebraic microlocalization      815
Algebraic models for homotopy 3-types      554
Algebraic path problem      454
Algebraic study of $\mathcal{D}$ -modules      815
Algebraic system of signature $\Omega$       804
Algebraic topology      641
Algebraically compact abelian groups      622
Algebraically compact modules      613
Almost simple group      306
Almost split sequence      625 861
Alphabet      450
Alternating exchange property      168
Alternation      169
Amalgamation of a compatible      507
Amalgamation sheaf axiom      505
Amitsur’s theorem on generalized polynomial identities      750
Analytic matrix functions      129
Analytic similarity of matrices      131
Andre — Quillen cohomology theory of commutative rings      637
Anick — Groves — Squier theorem      602
Annihilator      472
Anodyne extensions      649
Anti-monotony domain      446
Application of a rewrite rule      534
Approximation of a ring      772
Archimedean absolute values      294
Archimedean field      313
Arctangent law      61
Arithmetically profinite extension      241
Arrangement of hyperplanes      165
arrows      532
Artin algebra      624
Artin map      295

Artin map for ideles      375
Artin symbol      372
Artinian ring      773
Artin’s reciprocity law      372
Ascending chain condition (acc)      779
Ascending chain condition on left ideals      469
Ascending chain condition on n-generator submodules      740
Associated graded ring      743 816
Associated matrices      756
Associated pseudo-norm      818
Associated sheaf functor      510
Associated sheaf to a presheaf      510
association classes      353
Association scheme      353
Associativity constraints      563
Asymptotically good AG codes      418
atom      754 756
Atom in a matroid      161
Atomic formulas      805
Atomic geometric morphism      515
Atomic matrix      756
atomicity      162
Augmentation map      585
Auslander algebra      867
Auslander — Reiten quiver      860
Automatic groups      602
Automorphism group of a matroid      171
Axiom systems for matroids      159
Ax’ problem      310
Baer addition      620
Baer radical      781
Balanced block design      482
Balanced incomplete block design      351 482
Balanced incomplete block designs from planar near-rings      467
Balanced module      865
Band random matrices      76
Bar (G, H)-projective resolution      627
Bar projective resolution      627
Bar resolution      588
Barr’s theorem      512 516
Bartels — Stewart method      90
Base change by fibrations      651
Bases      160
Bases axioms for matroids      160
Basic algebra      847
Basic idcmpotent      847
Basic module      847
Basic operation      805
Basic predicates      805
Basic properties of finite fields      324
Basic spectral sequence associated to a simplicial object      518
Basic subalgebra      847
Basis      300
Basis exchange property      168
Basis monomial ring of a matroid      168
Basis monomial rings are Cohen — Macauley      168
Basis replacement      160
Baues — Wirsching cohomology      613
Baues — Wirsching dimension      631
Bazhanov — Stroganov 4-simplex equation      559
Bazhanov — Stroganov d-simplex equation      558
BCH bound      409
BCH code of designed distance      409
BCH codes      409
bdt      754
Beilinson regulator      662
Bergman’s coproduct theorem      758
Berlekamp — Massey algorithm      345 348
Bernoulli number      378
Bertini — Noether theorem      309
Beth models      527
Bezout Domain      136 718 740
Bezout theorem      121
Bezoutian for matrix polynomials      143
Bezoutian matrix of two polynomials      141
Bezoutian of matrix polynomials      141
BIB-designs      482
BIBD      351
Bicategorical Yoneda lemma      570
Bicategory      562
Biequivalence      570
Big etale site for k      660
Bimatroid      168
Bimodule      565
Bimodule property      794
Binary block code      398
Binary code      484
Binary matroids      166
Binary repetition code      401
Binary symmetric channel      397
Bipartite graphs      17
Birkhoff’s theorem and doubly stochastic matrices      9
Block eigenpair      85
Block Jordan pair for a matrix polynomial      103
BLOCKS      482
bm      794 809
Bockstein spectral sequence      597
Bond in a matroid      161
Boolean semifield      429
Boolean semiring      429
Boolean space      311
Boolean topos      525
Boolean valued models of set theory      503
Bott element      667
Bound component      754
Bound on discriminants of number fields      387
Bound R-module      754
Boundary operator      642
Boundary operator for singular homology      642
Bounded complexes      619
Bounded decomposition type      754
Bounded module over a quasi-Frobenius algebra      854
Bounded ring      623
Bousfield — Kan theory of homotopy inverse limits      657
Bracket of a set of vectors      168
Bracket rings      170
Brauer group      246 285 775
Brdgman — Minc upper bound      17
Broud's conjectures on representations of finite groups      673
Brouwer’s theorem      527
Brown complex      601
Brown — McCoy radical for semirings      443
BSC      397
C-Comod has enough injectives      633
C-comodule      633
Calculus of fractions      658 674
Calculus of left fractions      689
Calculus of right fractions      690
Cancellativity      430
Canonical barycentric realization      643
Canonical embedding      677
Canonical factorizations      149
Canonical sheaf      804
Canonical spectral equation      51
Capacity of channel      399
Cartan’s criterion      520
Cartesian closed      553
Cartesian closed category      504
Cartesian monoidal structure      553
Cartesian square      679
Categories of matroids      170
Category $C(\mathcal{A})$ of complexes over $\mathcal{A}$       674
Category FG of paths      532
Category of $\mathbb{Z}$ -graded k-vector spaces      678
Category of bisimplicial complexes      657
Category of complexes      680
Category of complexes as a Frobenius category      681
Category of factorizations in $\mathbb{C}$       628
Category of fibrant objects      521 658
Category of fractions      619 689

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