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

Deflations      679
Deformation of a string diagram      547
Deformation of progressive plane graphs      544
Degeneracies      645
Degree defined on a filtered ring      743
Degree function      743
Degree map      377
Degree of a divisor on an algebraic curve      417
Degree of a matrix polynomial      101
Degree of a polynomial      733
Degree of an element of a free k-algebra      745
Deletion of a matroid      163
Deligne’s theorem      513
Delzant Stiefel — Whitney classes      663
Demushkin group      291
Demushkin group of rank $\aleph_0$       292
Dense set in M(G)      473
Dense subring      789
Dense subring of linear transformations      789
Density of a Haar measure      30
Density theorem for near-rings      474
Density theorem of Frobenius      382
Density theorem of Kronecker      382
Density theorems      380
Dependence number of a filtered ring      752
Dependence relation      160
Dependence relation axioms for matroids      160
Derivation      189 196 534 629
Derivation of L over K      196
Derivation scheme      531 534
Derivation scheme morphisms      534
Derivatives of eigenvalues of matrix valued functions      134
Derived categories of fully exact subcategories      693
Derived category      661 673 674 691 692
Derived category of a finite-dimensional algebra      673
Derived category of Mod R      677
Derived category of the category of modules      678
Derived category of the category of modules over a hereditary ring      678
Derived category of the category of vector spaces      678
Derived equivalent algebras      853
Derived functors      694
Derived functors between derived categories      698
Desarguesian projective incidence group      472
Descending chain condition (DCC)      773
Descending chain condition on left ideals      469
Design      351
Design of experiments      351
Detectable pair of matrices      94
Determinantal identities      168
Diagonal approximation      594
Diagram chasing      711
Diamond lemma      768
Dickson invariants      600
Dickson near-field      470
Dickson polynomials      331
Dictionary between geometry and group theory      486
Difference order      447
Difference set      353 412
Digital multistep method      354
Dilatation of an incidence structure      485
Dimension Theorem      599
Direct image functor      509
Direct limit of modules      714
Direct product of semirings      427
Direct sum of matroids      163
Direct sum of modules      712
Direct sum of subsemimodules      443
Direct summand      712
Direct system      713
Directed graph      531
Directed set      799
Dirichlet characters      369
Dirichlet density      381
Dirichlet series      371
Discrete algebraic matrix Riccati equation      97
Discrete category corresponding to a category      626
Discrete category on X      533
Discrete detectable pair of matrices      97
Discrete filtration      818
Discrete graph on a set X      533
Discrete logarithm      337
Discrete logarithm problem      337
Discrete Lyapunov equation      91
Discrete stabilizable pair of matrices      97
Discrete stable matrix      90
Discrete valuation      287
Discrete valuation fields      224
Discrete, dynamical, time-invariant system      492
Distingnished Galois subfield      201
Distinguished intermediate field      212
Distinguished maximal separable intermediate field      191
Distinguished triangles      618
Distinguishing set of linear functionals      173
Distribution of eigenvalues and eigenvectors of orthogonal random matrices      43
Distribution of eigenvalues and eigenvectors of random matrix-valued processes      64
Distribution of roots of algebraic equations with random coefficients      45
Distributive element of a near-ring      467
Distributive lattice      429
Distributive laws between monads and comonads      549
Distributive near-ring      427 468
Distributive part of a near-ring      467
Distributively generated near-ring      468
distributor      565
Divisible abelian group      724
Divisible group      724
Division algorithm      743
Division semiring      428
Divisor      416
Divisor on an algebraic curve      417
Dolezal’s theorem      134
Domain      780
Dominant conjecture for Schur functions ("dominance conjecture")      18
Dorroh-extension of a semiring      432
Double centralizer property      865
Double Negation      525
Double stochastic matrix      5
Double-neutral element in a semiring      429
Dowling geometry      166
Dowling — Wilson inequalities for Whitney numbers      173
Dual bases of finite fields      326
Dual basis      326
Dual basis for a set of higher derivations      200
Dual code      402
Dual code of a cyclic code      407
Dual matroid      163
Dual numbers      678
Dual p-base      199
Dual pencil      82
Duality      848
Duality between left and right torsion modules      755
Duality for projective modules      738
Duality group      602
Duality module      857
Duality of matroids interchanges      163
Dyson equation      54
Dyson integral equation      54
e-error-correcting code      401
Edge homomorphism      519 596
Edge-colorings      17
Edges      454 532 544
Effective construction of irreducible polynomials over       329
Effective topos      527
Efficient construction of primitive polynomials over       333
Egorychev — Falikman theorem      14
Eigenvalues of a pencil      82
Eilenberg — MacLane space      583 645
Eilenberg — Moore sequence      597
Einstein — Smoluchowski equation      67
Element in a semiring      429
Elementarily equivalent fields      277

Elementary quotient matroid      171
Elementary theory of a class $\mathcal{F}$ of fields      277
Elementary topos      503 504 531
Elementary topos versus Grothendieck topos      508
Elliptic law      63
Elliptic modules      384
Embeddability in a skew field      740
Embedding problem      279 304
Embedding property      310
Embedding theorem for svelte exact categories      680
Enciphering scheme      346
Enclosing ideal      480
Encoder      398
End of a group      603
Endomorphism semiring of a semimodule      445
Enlarged fundamental group      524
Enough cokernel-projective objects      616
Enough F-split objects      698
Enough injectives      681
Enough points      512
Enriched hom sets      536
Entropy function      399
Entrywise functions of matrices      125
Epaisse full triangulated subcategory      618
Epi-exact category      621
Equal fibration of a group      486
Equation for the resolvent of empirical covariance Matrices if the Lindeberg condition holds      69
Equation for the Stieltjes transformation of normal spectral functions of the empirical covariance matrix pencil      70
Equation with regular singularities at      0 825
Equiexponential modular extension      201
Equivalence in a bicategory      570
Equivalent algebras      285
Equivalent characters      369
Equivalent filtration      817
Equivalent matrix polynomials      135
Equivalued ideal class group      370
Equivariant functions      505
Equivariant sheaf      515
Error      397
Error evaluator polynomial      414
Error locations      414
Error locator polynomial      414
Error pattern      414
Error value      414
Error-correcting capability      400
Error-correcting codes      397
Essential extension      725
Essential ideal      797
Essential polynomial identities      790
Etale cohomology      657
Etale cohomology groups      518
Etale cohomology groups of schemes      517
Etale homotopy groups      524
Etale space      505
Etale topos      508
Euclidean algorithm      733
Euclid’s algorithm      414
Euler angles      30
Euler characteristic      604
Euler function      353
Eulerian orientations of graphs      17
Evens norm map      597
Exact categories of Quillen      621
Exact categories with enough injectives      681
Exact category      679
Exact category in the sense of Quillen      616
Exact category of an additive category      680
Exact category of complex Banach spaces      680
Exact category of filtered objects      680
Exact category of k-split sequences      680
Exact functor      680
Exact pair of morphisms      679
Exact sequences      710
Exactness of inverse and direct limits      714
Exactness property of tensor product      720
Examples of morphisms of topoi      509
Examples of near-rings      466
Examples of skew polynomial rings      735
Exceptional near-fields      470
Exceptional polynomial over       334
Exchange      160
Exchange axiom for matroids      160
Exchange closure axioms for a matroid      161
Exchange closures      161
Exhaustive filtration      816
Existence of infinite non — Dicksonian near-fields      470
Existence of perfect codes      401
Existence of the product formula characterizes global fields      374
Existence theorem      257 375
Existence theorem of global class field theory      371
Existence theorem of local class field theory      246
Explicit class-fields      382
Exponentiable object      504
Exponential object      553
Ext in group cohomology      586
Extended centroid      784 797
Extended code of a code      402
Extended kernel of a covered group      487
Extension condition      648
Extension of a discrete valuation      233
Extension of a matroid      162
Extension of a semiring      431
Extension of G by A      589
Extremal matroid theory      167
Extremely disconnected      803
F-acyclic object      699
F-split object      698
Face maps      642
Factorization of matrix polynomials      81 100 136
Factorization of rational matrices      147
Factorization of self-adjoint matrix polynomials      112
Factorization problem      103
Factorization theorem for comaps      172
Factorization theorem for strong maps      171
Faith — Michler theorem      780
Faithful coproduct      758
Faithful module      846
Faithfully flat algebra      720
Faithfully flat module      720
Family of elements in a presheaf      507
Family self consistent      800
Fano plane      166
Farrell cohomology      604
Fiber product      274
Fibrant      652
Fibration      567 650
Fibration of a group      486
Field of algebraic numbers      778
Field of constants of a set of derivations      196
Field of constants of a set of higher derivations      197
Filtered category      674
Filtered module      816
Filtered objects      680
Filtered ring      742 816
Filtering functor      511
Filtration      742 816
Filtration of a module      816
Filtration of a ring      816
Filtrations equivalent to a good filtration      820
Finite affine geometry      352
Finite affine plane      352
Finite at infinity      144
Finite colimits      504
Finite CW-complex      641
Finite directed graph      454
Finite embedding problem      280
Finite factorization property      449
Finite field      475
Finite field characterization result      475
Finite generation theorem of Evens      599

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