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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
Finite locally constant object in a topos      522
Finite ordinal numbers      645
Finite p-class-field tower      386
Finite projective geometry of dimension $d \geq 2$      352
Finite projective plane      352
Finite rank      160
Finite representation type      625 861
Finite semifields with commutative addition      435
Finite semifields with noncommutative addition      436
Finite simplicial complex      642
Finite spectrum of a matrix pencil      82
Finite topology      473 789
Finite virtual cohomological dimension      603
Finitely generated group      279
Finitely generated module      709
Finitely presented module      715 748
Finitistic dimension conjecture      843 873
FIR      733 738
First inequality of class-field theory      372
First module of syzygys      707
Five lemma      711
Five term exact sequence for low dimensional group cohomology      597
Five term sequence      597
Fixed field      273
Flabby sheaf      804
Flat functor      511
Flat in a matroid      161
Flat module      708 720
Flatly generated proper class      622
Flatness and linear equations      721
Fokker — Planek equation      67
Fontaine — Wintenberger fields of norms      24!
Forbidden minors      165
Forbidden-minor theorem      166
Forcing      503
Formal language      450
Formal Laurent series      493 736
Formal power series ring      736
Formalism for hyperhomology      673
Formally p-adic field      226 296
Formally real field      276
Formula      805
Formula predicates      805
Forward and backward spectral Kolmogorov equations for distribution densities of eigenvalues of random matrix processes with independent increments      66
Forward Kolmogorov equation      67
Four lemma      711
Four-point plane      352
Frame      513
Frattini group      278
Fredholm random determinants      57
Free $\mathcal{V}$-semiring      433
Free 2-category      538
Free 3-category $\mathbb{F}E$      555
Free abelianized extension      604
Free category      532
Free D-ring on a set X      745
Free ideal ring      738
Free k-algebra      745
Free monoid      450
Free monoid on X      745
Free pro-$\mathcal{C}$ group      280
Free pro-$\mathcal{D}$ group      306
Free product      300 314 758
Free product of profinite groups      312
Free profinite group      279
Frequency hyperrectangles      351
Frequency square      351
Freyd’s topos embedding theorem      515
Fried — Voelklein conjecture      307
Fried, Haran, and Voelklein theorem      314
Frobenius algebra      849
Frobenius automorphism      243 276 324 372
Frobenius category      681
Frobenius complement      471
Frobenius endomorphism      735
Frobenius field      310
Frobenius group      471
Frobenius kernel      471
Frobenius map      230
Frobenius — Koenig theorem      9
Froehlich twisted form      664
Fuchsian $\mathcal{D}_1$-module      825
Fuchsian ordinary differential equation      825
Full family of finite groups      278
Full matrix      742
Full suspended subcategory      690
Full triangulated subcategory      690
Fully exact subcategories of module categories      680
Fully exact subcategory      680
Fully indecomposable matrix      5
Function complex      650
Function field of one variable over a field      298
Function field over k      298
Functional equations      371
Functions of a matrix argument      119
Functions of matrices      120
Functoriality sheaf axiom      505
Fundamental formula for Ext      678
Fundamental problem of linear coding theory      173
Fundamental result of simplicial homotopy theory      650
Fundamental structure theorem for near-rings      474
Funny 2-functor 2-category      554
Funny functor category      554
Funny tensor product      554
G-condition      73
G-fixed points cofixed points      585
G-sets      505
G-torsors      662
Gabber — Kashiwara theorem      838
Gain graphic matroid      166
Galois category      522
Galois cohomology of K      664
Galois extension      200 273
Galois field      323 400
Galois group      273
Galois group of g over F      302
Galois pair of subgroups      206
Galois polynomial      303
Galois stratification      310
Galois subfield      205
Galois subgroup      205
Galois subgroup of the group of higher derivations      200
Gaussian random matrices      39
Gauss’s theorem on genera      386
General polynomial of degree n      302
General reciprocity law for n-th powers      380
Generalization of the van der Waerden conjecture      18
Generalized cap product homomorphism      661
Generalized eigenvectors (Jordan chains)      130
Generalized feedback shift-register method      355
Generalized identity      785
Generalized isomorphism conjecture      658
Generalized monomials      786
Generalized Nakayama conjecture      843 873
Generalized p-adic valuation of rank d      297
Generalized p-adically closed field      297
Generalized partition      452
Generalized polynomial      785
Generalized S-semialgebras      451
Generalized semigroup semiring      449
Generalized simplicial complex      642
Generalized Sylvester equation      90
Generalized translation structure      486
Generalized variance      32 71
Generating graph      532
Generating graph of free category      532
Generation of all ray-class-fields of k      383
Generator      846
Generator matrix of a code      402
Generator polynomial of a cyclic code      406
Geometric algebra      169
Geometric cover of a group      486
Geometric inequalities for permanents      12
Geometric lattice      161 162
Geometric morphism      509
Geometry      160
Ghost components      230
Gilbert — Varshamov bound      401
Giraud theorem      508
Global dimension 0      738
Global fibration      665
Golay codes      401
Goldie ring      798
Goldie theorem      799
Good filtration      817
Good filtrations on submodules      820
Goppa code      412
Goppa polynomial      413
Goppa-code cryptosystem      347
Graded set      556
Graph coloring problem      173
Graph morphisms      532
Graphic matroid      160
Gray-category      554
Greatest common right divisor of matrix polynomials      136
Greedoid      161
Greedy algorithm      160
Greedy algorithm axioms for matroids      161
Grothendieck group      624
Grothendieck ring      174
Grothendieck sites      506 658
Grothendieck topology      506
Grothendieck topos      508 659
Grothendieck’s categorical Galois theory      522
Grothendieck’s theorem an Galois categories      523
Group cohomology of $\mathbb{Z}$      586
Group cohomology of a finite cyclic group      586
Group cohomology of a product of groups      587
Group cohomology rings, examples      595
Group completion theorem      657
Group of higher derivations      198
Group of ideles      374
Group of principal units      228
Group of relations      613 624
Group of relations of $K_0(\mathbb{A})$      624
Group of type $FP_n$      602
Group of type FP      602
Group of unit ideles      374
Group of units      224
Group with operators      707
Group-semiautomaton      490
GSA      490
h-closure      441
H-ideal      441
Haar measure on the group of orthogonal matrices      30
Hadamard matrices      354
Hadamard multiplication of matrices      126
Hahn — Banach theorem      682
Halfring      427
Hamilton — Cayley theorem      717
Hamiltonian matrix      95
Hamming bound      401
Hamming code      401 405
Hamming distance      400 484
Hamming weight      402 484
Hankel determinant      345
Hasse local-global principle      227
Hasse — Arf theorem      241
Hasse — Herbrand function      239
Hasse — Iwasawa relation      289
Hasse — Iwasawa theorem      259
Hasse — Teichmueller derivatives      332
Hasse — Witt classes of the form $\beta$      663
Hasse — Witt invariant      663
Hattori — Stallings rank      604
Hazewinkel construction of the reciprocity map      246
Heart of a ring      773
Hecke’s theorem on progressions      381
Height of a prime ideal      828
Heller function      846
Hemiring      427
Hensel lemma      232
Henselian closure      294
Henselian field      232 286
Henselization      233
Hereditary noetherian prime ring      623
Hereditary ring      678 718 733
Heyting algebra      524
Higher $\delta_0$-derivation      737
Hilbert 90 theorem      246 285
Hilbert basis theorem      735
Hilbert class-held of k      368
Hilbert irreducibility theorem      302
Hilbert norm residue symbol      248
Hilbert series      747
Hilbert sets      303
Hilbert symbol      248
Hilbert syzygy theorem      707
Hilbertian field      303
Hilbert’s 21st problem      815
Hilbert’s 9th problem      249
Hilbert’s conjectures concerning Abelian extensions of number fields      368
Hirsh number      603
HNP-ring      623
Hochschild cohomology group      859
Hochschild extension algebras      858
Hochschild — Mitchell cohomology      613 628
Hochschild — Mitchell K-dimension      630
Holonomic $R_n$-module      829
Holonomic $\mathcal{D}_n$-module      829
Holonomic R-modules      828
Homogeneous maps      489
Homogeneous maps on modules      488
Homological characterization of balanced modules      877
Homology groups      641
Homology of a group      584
Homomorphism      566
Homomorphism of semirings      427 440
Homotopical algebra      641 652
Homotopy addition theorem      648
Homotopy category      616 674
Homotopy category $H_0(\mathbb{S})$      651
Homotopy category of an additive category      682
Homotopy extension property      646
Homotopy theory of simplicial sets      641
Honest homomorphism      742
Hopf algebra structure of $H^*_{et}(BG_k;\mathbb{Z}/\ell)$      660
Hopf formula for $H_2(G;\mathbb{Z})$      587
Horizontal composite      535
Horizontal composition      562
Horn formulas      805
Horn functor      711
Horn predicate      805
Hurwitz space      309
Hyper-cohomology spectral sequence      597
Hypercohomology      673
Hypercover      52D 521 659
Ideal      441
Ideal class-group (mod f)      370
Ideal in a near-ring      468
Idele      294 367 373
Idele class-groups      374
Idele classes      294
Identical triangle functors      687
Identity      427
Identity constraints      563
Identity in a semiring      427
Ikehara — Delange theorem      381
Illusie conjecture      658
Image      614 710
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