Hazewinkel M. — Handbook of Algebra (part 2) :: Электронная библиотека попечительского совета мехмата МГУ

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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:

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

Предметный указатель

$\rho'$ -element      742
$\rho^{\beta}g$       673
$\rho^{\omega}g$       673
$\sigma$ -additive set function      64
$\sigma$ -algebra      64
$\sigma$ -internal partial type      309
$\Sigma$ -pure-injective module      422
$\tau(r)$       677
$\theta$ -logic      86
$\theta$ -logic with equalities      92
$\underline{am}$       193
$\underline{ban}$       194
$\underline{\mathbf{lin}}$       193
$\varphi$ -stabilizer      294
$\varphi\overline{x,y}$ -definable      283
$\widehat{\bigotimes}$       155
$\widehat{\bigotimes}$ algebra of functions      156
$\widehat{\bigotimes}$ -algebra      155
$\widehat{\bigotimes}$ -module      157
$\widetilde c$ (a)      256
$\widetilde c$ (a, x, y)      208
$\widetilde c$ c(a\      259
$\widetilde c$ r(a)      260
$\widetilde c_\infty$       159
$\widetilde{c}_{cbw}(a, x_w)$       231
$\widetilde{h^n}$ (a)      234
      741
$_2\phi_1$       721
      209
( $\tau_1,..., \tau_m$ )-space      685
( $\varepsilon$ )-colour lie superalgebra      582
( $\varepsilon$ )-commutator      581
( $\varepsilon$ )-purity      699
( $\varepsilon$ -g)-graded tensor product      585
(a,p)-group      685
(a,p,r)-group      685
(a.t)-type      685
(ban)      157
(f:g)      401
(g,h)-biset      829
(p, q)-dress group      761
(r,c)-bimodule      464
(r,c)-bimodule morphism      464
(t,m)-group      685
1-projective      827
2-abelian      641
2-abelian filiform lie algebra      641
2-bicart      17
2-category      9 17
2-coboundaries      513
2-cocycle      471 513 527 582
2-generated core      304
2-rank of a group      304
A — z-bimodule      220
A(d)      156
A, t-group      685
A-bimodule of bounded bilinear functional      171
A-definable set      279
A-group      676
A-invariant family of partial types      309
A-mod      158
A-mod-a      158
A-pure projective      681
A-reflexive      691
Abelian algebra      555
Abelian category      158
Abelian group      669
Abelian regular      408
Abelian regular ring      401 402
Abelian structure      306
Abelian superalgebra      587
Abramsky, s.      36 58 64—66
Absolute direct summand      672
Absolutely free $\omega$ -algebra      85
Absolutely hereditary radical      376
Abstract class of algebras      547
Abstract computing machine      51
Abstract datatype      15
Abstract db      105
Abstract functorial calculus      40
Abstract homological algebra      154
Abstract model theory      279
Abstract monoid      25
Abstract normal form function      30
Abstract operator space      230
Abstract theory of computations      132
Abstract theory of functions      10
Abstract torsion theory      481
ACC      369 387
Acc for s-ideals      390
Ackermann function      18
Acl(a)      279 286
Active database      104 105
Active db      98 105
Acyclic      815
Acyclic poset      763
Adapted basis of a filiform lie algebra      527 627
Addition theorem      709
Additive category      158
Additive connective      49
Additivity formula      154 247
Additivity principle      386
Adjoint Associativity      165
Adjoint derivation      583
Adjoint functor      132
Adjunction      133
Admissible epimorphism      166
Admissible extension of x by z      179
Admissible g-cw complexes      817
Admissible g-simplicial complexes      817
Admissible logical relation      28
Admissible morphism      166
Ado — lwasawa theorem      601
Adyan, s.      560 570
Affine algebra      555
Affine algebraic variety      512
Affine map      555
Affine pi-ring      386
AI      48
Aiuiihilator bimodule      224
Akemann, c.a.      177
Albrecht, u.      679 688
Alev, j.      386
Alexander polynomial      709
Algebra      15 23 43
Algebra in a theory      93
Algebra of $\theta$ -terms      96
Algebra of a group      362
Algebra of calculus      138
Algebra of files      82
Algebra of formulas      102
Algebra of hilbert — schmidt operators      253
Algebra of nuclear operators      190
Algebra of queries      83 97 122
Algebra of relations      81
Algebra of replies      81 83
Algebra of test functions      202
Algebra with equalities      92
Algebraic closure      279
Algebraic geometry      279 468 709
Algebraic group      280
Algebraic homology theory      166
Algebraic independence      279
Algebraic independence of automorphisms      373
Algebraic K-theory      702 809
Algebraic k-theory of $\mathbb z$ g      823 829
Algebraic k-theory of group rings      807
Algebraic kernel      375
Algebraic Lie algebra      518 627
Algebraic logic      81 83 86 93

Algebraic model of databases      81
Algebraic number theory      323 807
Algebraic spaces      323
Algebraic splitting      222
Algebraic theory      14 93 94 128
Algebraically closed field      279 312
Algebraically compact group      673 690 693 695
Algebraically cyclic vector      237
Algebraization of $\theta$ -logic.      88
Algebraization of first-order logic      93
Algebras of analysis      153 221 249
Algebras of formulas      125
Algebras with equalities      119
Algebras, amenable as von neumann algebras      187
Algol-like language      7 36 43
Alimohamed, m.      56
Almkvist, G.      394 395
Almost completely decomposable      679
Almost completely decomposable group      686
Almost everywhere      677
Almost special group      389
Almost strongly minimal      280
Alternative algebra      558 568
Alternative algebraic pi-algebra      568
Amadio, r.      66
Amalgamated product      829
Amalgamated subalgebra      592
Amenability      228
Amenable      154
Amenable algebra      182 184
Amenable banach algebra      153
Amenable compact group      227
Amenable group      173 185
Amenable infinite group      245
Amenable radical banach algebra      187
Amitsur complex      475 815 817 818
Amitsur, S.      372 564
Analytic disk      154 168 174
Analytic n-disc      251
Analytically parametrized      216
Andre — Quillen homology      323
Annihilates extension      223
Annihilator class      701
Annotation of a proof tree      13
AP      324
Applicative context      35
Applicative typed structure      28
Approximate diagonal      185
Approximately finite-dimensional $c^\ast$ -algebra      186
Approximation property      154 169 190 192 227 253
Arbib, M.      61 62
Arens multiplication      172
Arens — Michael algebra      155 183 244
Aristov, o.yu.      192 245 258
Arithmetical module      419
Arithmetical ring      432
Armendariz, e.p.      377
Armstrong, j.w.      688
Arnold duality      691
Arnold theorem      687
Arnold, D.      678 687 689—691 699
Array      15
Artin approximation property      324
Artin approximation theory      323
Artin induction theorem      814 834
Artin — Schreier extension      298
Artin, E.      741 756
Artin, M.      324 327 332 337 472
Artinian ring      451
Artinian semidistributive left serial ring      419
As-regular monomial      591
Ascending central series      288 618 624
Ascending chain condition      369
Asperti, a.      53
Associated graded algebra      584
Associativity coherence      44
Atm d      97
atomic      154
Atomic formula      281
Atomic type      10
Atomic von neumann algebra      170
Attribute      87
Augmentation ideal      798
Augmented Koszul complex      202 250 251
Augmenting ideal      159 160
Augmenting l' (g)-module      160
Auslander, M.      244 463 469 479
Aut G      689
Automatic continuity      175
Automorphism group      686 689
Automorphism groups of operator algebras      153
Averaging principle      229
AW*-algebra      254
Axiom of Choice      31 677
Axiom on pullbacks      810
Axiomatic definition of quantifiers      87
Axiomatic domain theory      25
Axiomatic rank      560
Axiomatizable class      85
Axioms of equality      87
Azumaya algebra      463 465
Azumaya algebra split by an extension      469
Azumaya, G.      463 470
Az_g,(r)      474
B(r)      477
B(e)      156 159
B(e,f)      156
B(g)      362
B-conjecture      304
B-group      678 796 834
B.a.i.      155 172 184 187
Bad decomposition      680
Bad field      280 302
Bad group      280 303
Bade, W.G.      192 223
Baer Group      694
Baer radical      372 375
Baer — kaplansky theorem      687
Bahturin, yu.      559 566 567 602
Bainbridge, e.s.      41
Baker, K.A.      559
Balanced      695
Baldwin, J.T.      312
Ball algebra      251
Ban      157
Banach a-module      157
Banach algebra      153
Banach algebra associated to a category      263
Banach algebra of compact operators      156
Banach algebra of continuous operators      156
Banach algebra of nuclear operators      156
Banach cohomology groups      225
Banach function algebra      249
Banach geometry      245
Banach homology      247
Banach open mapping theorem      193
Banach space geometry      185 248
Banach space interpretation of ll      54
Banach space of bounded operators      156
Banach space of haar integrable functions      156
Banach structure      154
Banach theorem      221
Banach version of projectivity      153
Banach z-algebra      220
Banach — Alaoglu theorem      161
Bancillhon, f.      113
Bar-resolution      1
Barbaumov, v.e.      372
Barr, M.      45 46 53
Basic formula      87

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