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Hazewinkel M. — Handbook of Algebra (part 2)
Hazewinkel M. — Handbook of Algebra (part 2)



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Название: Handbook of Algebra (part 2)

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: 449

Добавлена в каталог: 29.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Euler — poincare characteristic of a poset      764
Euler — poincart characteristic      741 764
Evaluation      38
Evaluation map      7 44
Evaluations in dbs      139
Evans, m.j.      690
Even element      582
Even type conjecture      304
Even type group      303
Everywhere split      818
Exact complex      157
Exact functor      208 465 812
Exact on the left      207
Exact sequence      157 674 693
Exactly solvable integrable system      709
Excellent dedekind ring      324
Excellent local ring      327
Exchange property      441
Exchange ring      402 405 408 426 441 454
Excision theorem      262
Execution formula      54
Existence theorem      675
Existential quantifier      41 87 94
Existentially closed difference field      280 312
Existentially closed field      308
Exponential connective      50
Exponential type      12
Ext exact sequence      693
Ext group      821
Ext(b,m      692
Ext(x,z)      180
Ext-computing complex      209
Ext-space      155
Extended centroid      369
Extension      153 692
Extension of a by i      221
Extensions in operator theory      153
Exterior algebra      584
Exterior semisimple derivation      518
External model      24
Extremal basic root      647
F(G)      2895
F-acyclic      208
Face morphism      264
Factor      156
Factor algebra      85
Factorial      334
Faddeev, L.D.      709
Faith, C.      361 369 381
Faithful database      106
Faithful distributive module      401
Faithful module      170
Faithful semidirect sum      631
Farkas, D.      363 370 371
Favre, g.      639 649
Fay, t.h.      701
Feasible higher-order computation      67
Feasible state      83 99
Feedback      58
Feedback circuit      60
Feldman, C.      225
Feschbach, m.      799 832
Fiat      409
Fiat morphism      331
Fiat preresolution      195 200
Fibration      67
Fibred category      24
Fibred category models      67
Field extension      463
Field of finite morley rank      302
Files, s.t.      688
Filiform      624
Filiform algebra      511
Filiform lie algebra      524 525 617 626
Filiform nilradical      523
Filter      90 121 328
Filter of all cofinite subsets      328
Filtered inductive limit      336
Final t-coalgebra      15
Fine spectrum of a variety      560
Finite exchange property      441
Finite generation      389
Finite generation of intersections theorem      598
Finite list object      18
Finite lists      18
Finite morley rank      280 302
Finite representation type property      466
Finite separability      598
Finite support      88
Finite ulm type      694
Finite width      157 174
Finite-dimensional irreducible representation of u_q(g)      710
Finitely based algebra      559
Finitely based subvariety      559
Finitely butler groups      678
Finitely generated group      670
Finitely presented      335
Finiteness condition      588 607
First invariant of a direct sum of dorsion complete p-group      683
First order $\beta_\eta$ equations      21
First order calculus      89
First order language      556
First order-      21
First prufer theorem      674
First-order $\theta$-logic      86 97
First-order logic      81 83
First-order theory      279
Fisher, J.      369 377 387 391
Fitting subgroup      289
Fixed element      361
Fixed point      26
Fixed points functor      742
Fixed points homomorphism      746
Fixed ring      361
Fixed ring theory      369
Fixed-point combinator      26 34
Fixed-point identity      62
Flag      618
Flat algebra      335
Flat banach module      172
Flat bidimension      154
Flat module      166
Flat pointed natural numbers      18
Flowchart scheme      62
Fock space      54
Fomin duality      691
Fomin, a.a.      684 685 689 691 695 696
Forbidden value for dg      246
Forbidden values      154
Foreign type (to a family)      309
Forgetful functor      465
Forking geometry      307 309
Forking realization      307
Forking type      283
Formal deformation      513
Formal fiber      327
Formal jacobi identity      513
Formal logics of parametricity      43
Formally smooth algebra      341
Formanek central polynomial      570
Formanek, E.      390 391 394 395 565
Formation      305
Formulas-as-types      5 13
Fossum, r.      481
Founding fathers of homological algebra      166
Fraisse's universal-homogeneous model      312
Frattini subgroup      305 770
Frechet a-module      157
Frechet algebra      155 212
Frechet algebra of holomorphic functions      156
Frechet algebra of infinitely smooth functions      156
Frechet space      193
Free $\ast$-autonomous category      57
Free $\mathcal p$-ccc      33
Free $\overline{\bigotimes}$-module      159
Free $\widehat{\bigotimes}$-module      159
Free Abelian group      671
Free algebra      26 85
Free algebra in $\theta$      0 94 122
Free algebra of a variety      602
Free alternative algebras      568
Free banach left a-module      164
Free banach module      159
Free c-monoid      26
Free cartesian closed category      29
Free category      5 55
Free CCC      9 14 32 55
Free ccc generated by a directed multigraph      9
Free colour lie p-superalgebra      591
Free colour lie superalgebra      588
Free compact closure      66
Free coresolution      195
Free frechet module      159
Free functor      55
Free g-graded associative algebra      589
Free g-graded nonassociative algebra      589
Free group      671
Free group on two generators      233
Free group with two generators      227
Free group, $\aleph_l$      672
Free k -algebra over (base) x      548
Free Lie algebra      588 595
Free lie ring      595
Free Lie superalgebra      586 588
Free mal'cev algebra      570
Free metabelian colour lie superalgebra      592
Free p-algebra      595
Free product      123
Free product of colour lie p-superalgebras with amalgamated homogeneous subalgebra      593
Free product with amalgamated of colour lie subalgebras      592
Free resolution      195
Free set of generators      671
Free simply typed lambda calculus      29
Free spectrum of a variety      561
Free term model of system f      42
Free type variable      21
Free valuated group      699
Free variable      11
Free, $\aleph_l$      672
Freely generated simply typed lambda calculus      12
Freely generated types      7
Freeness of subalgebras of free algebras theorem      595
Freese, R.      554
Freezing isomorphism      165
Freyd adjoint functor theorem      23
Freyd, P.      22—25 68
Friedman, H.      54
Frobenius axiom      809
Frobenius functor      807
Frobenius identity      743 747
Frobenius, G.      669 753
Fuchs problem      34 87 89 688 689 691
Fuchs, L.      675 678 683 687 696
Fulfillment of a formula      85
Full abstraction      66
Full abstraction problem      36
Full completeness      7 51
Full completeness for $\mathbf{mll+mix}$      56
Full completeness for binary sequents      57
Full completeness problem      36
Full completeness theorem      46 55 57
Full faithful functor      464
Full type hierarchy      7 54 56
Fully abstract model      35
Fully abstract order-extensional model of \mathbf{pcf}      36
Fully characteristic congruence      85
Fully complete model category      55
Fully faithful embedding      54
Fully faithful representation theorem      57
Fully integral      364
Fully invariant abelian group      701
Fully invariant submodule      419
Fully transitive abelian group      701
Fully transitive group      701
Function space      6
Functional abstraction      10
Functional analytic model of ll      54
Functional completeness      9 12 26
Functional completeness theorem      9
Functional dependency      82
Functional language      12 26
Functor category      7
Functor category model      37
Functorial interpretation      56
Functorial subgroup      700
Functorial type constructor      15
Fundamental covariant      395
Fundamental system of solutions      310
Fuzzy $\theta$-algebras      96
Fuzzy information      131
Fuzzy set      95
G(R)      473
G-acyclic      766
G-cw complex      817
G-galois extension      369
G-graded associative algebra      581
G-graded ring      471
G-graded set      588 589
G-graded tensor product      585
G-graded vector space      581
G-homogeneous basis      585
G-poset      765 766
G-set      7 46 741 810
G-simplicial complex      817
G-space      817
G/H      741
Gabber, O.      472
Gabriel filter      481
Gabriel topology      378
Gabrielov, A.M.      340
Galois closure      112
Galois cohomology      470
Galois correspondence      112
Galois correspondence theorem      390
Galois extension      382 470
Galois extension of rings      470
Galois group      826
Galois theory      112 119 361 463
Galois theory for a universal database      113
Galois theory of dbs      81
Galois theory of extensions of commutative rings      463
Galois theory of prime and semiprime rings      364
Galois theory of semiprime rings      368
Galois — kummer extension      483
Game semantics      54 56 65
Games model of ll      53
Games semantics for programming languages      36
Gamma function      722
Gardner, b.j.      700
Gauss decomposition      711
Gauss, C.F.      669
GCH      677 688 694
Gcr c*-algebra      186
GCR-algebra      245
Gel'fand spectrum      156 168
Gel'fand theorem      205
Gel'fand theory      249
Gel'fand topology      156 251
Gel'fand transform      156
Gel'fand — kirillov dimension      386
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