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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
Class group      809
Class of algebras      547
Classical brauer group      468
Classical involution in a group      304
Classical lie superalgebra      582
Classical linear group      690
Classical linear logic      52
Classical logic      48
Classical noncommutative invariant theory      395
Classical ring of quotients      369 424 477
Classical spectrum      205
Classical subgroup      304
Classically separable      466
Classification of identities      562
Classification of ordinary finite-dimensional lie superalgebras      586
Classification of the models of a complete first-order theory      279
Classification theory      279
Classifying space      797 830 833
Classifying space of a finite group      741
Clean ring      448
Clifford algebra      484
Clifford representation      484
Clifford system      482
Cll      50 52
Clone      551
Clone of term operations      551
Closed category      5
Closed p-group      675
Closed set of identities      85
Closed submodule      158
Closed term      11
Closure operator      87
Cm-trivial group      308
Cm-trivial stable structure      307
Co-commutative bialgebra      600
Co-commutative comonoid      52
Co-commutative hopf algebra      46
Co-end      41
Co-product      599
Co-split map      464
Coadjoint representation      626
Coalgebra      52
Coalgebraic lattice      557
Coatom      573
Coboundary      471
Coboundary, continuous      218
Cochain      217
Cockett, j.r.b.      48
Cocycle      471
Cocycle, continuous      218
Cocyclic banach space      265
Codd algebra      81
Codd relational algebra      81 83
Coefficient system      816
Coend formula      41
Coevaluation map      44
Cofree coresolution      195
Cofree module      171
Cofree resolution      195
Cofunctor      775
Cohen algebra      342
Cohen Theorem      330
Cohen, M.      363 369 377 378
Coherence      29
Coherence diagram      47
Coherence equations      44
Coherence isomorphism      44
Coherence theorem      41 47 48 51
Coherent space      8
Cohn, P.M.      569
Cohomological mackey algebra      826
Cohomological mackey functor      826
Cohomology group      471
Cohomology group of a topological algebra      177
Cohomology groups of banach algebras      153
Cohomology of groups      829
Cohomology of operator algebras      228
Cohomology of p-groups      831
Cohomotopy groups      797
Colimit functor      816 819
Colour commutator      583
Colour hopf algebra      600
Colour jacobi identity      582
Colour lie p-superalgebra      585
Colour lie superalgebra      582
Colour p-lie-superalgebra      586
Column of rank one operators      169
Combinatorial pre-geometry      279
Combinatory algebra, partial-      8
Combinatory logic      24 26
Commutant      221
Commutant of a      234
Commutative algebra      323
Commutative amenable banach algebra      225
Commutative arens — michael algebra      183
Commutative banach a-bimodule      225
Commutative bimodule      225
Commutative coefficients      225
Commutative dedekind ring      401
Commutative subspace lattice algebra      156
Commutative sum of two ordinals      285
Commutativity index      640
Commutator      587
Commutator condition      289
Commutator module      466
Commutator of two congruences      555
Commutator subgroup      466
Commutator theorems      468
Comonad      10 53 82 83 131 133
Comonad in $db(\mathbf C)$      136
Comonad in the category of databases      137
Comonoid      52
Compact $\ast$-autonomous category      47
Compact category      45 47 59
Compact closed category      65
Compact group      173
Compact real form      723
Compact structures in topology      283
Compactness Theorem      282
Comparable maps of posets      764
Comparison theorem      196 205
Compatible sum axiom      62
Complementable as a subalgebra      245
Complementable subspace      157
Complete $\ast$-autonomous category      46
Complete contraction      230
Complete direct product      373
Complete direct sum      671
Complete first-order theory      279
Complete Heyting algebra      22
Complete injective topological tensor product      155
Complete isometry      230
Complete n-type      283
Complete projective topological tensor product      155
Complete set of invariants      684 686
Complete standard subalgebra      649
Complete system of relations      595
Complete theory      281
Completely bounded a-bimodule      231
Completely bounded cochain      231
Completely bounded cohomology      230
Completely bounded linear operator      230
Completely bounded polylinear operator      231
Completely cyclic module      402 427
Completely decomposable      678
Completely decomposable abelian group      682
Completely decomposable group      678
Completely decomposable torsion-free group      686
Completely finite-dimensional bezout module      423
Completely invariant      548
Completely isometric      230
Completely prime      406
Completely prime ideal      421
Completely segregated algebra      225 244
Completeness of typed lambda calculus      54
Completeness theorem      24 53 54
Completeness with respect to provability      55
Completion of b(g)      798
COMPLEX      157
complex numbers      281
Complex over x      195
Complex under x      195
Complexity class      51
Complexity theory      67
Composition lemma      594 595
Composition method for lie algebras      589
Composition of relations      59
Composition series      330 427
Compositional dinatural semantics      40
Compositional semantics      40
Compression of a query algebra      83
Computability predicate      28 29
Computable realization      131
Computation      10
Computation as oriented rewriting      10
Computational adequacy theorem      35
Computational monad      67
Computational problems      82
Computations in a db      128
Computations over computations      132
Comultiplication      189
Concrete db      105
Concrete operator space      230
Concurrency      25 50
Concurrency theory      7 67
Concurrent constraint programming      53 67
Conditional expectation      232
Conductor ideal      480
Cone      170
Cone of an operator algebra      234
Congruence      84 548
Congruence extension property      557
Congruence lattice      553
Congruence permutable variety      553
Congruence relation      11
Congruence-distributive      553
Congruence-modular      553
Conjugation      774
Conjugation functor      742
Conjugation homomorphisin      746
Conjugation mapping      807
Conlon induction theorem      825
Conlon theorem      824 825
Conlon, s.b.      741 758
Connected component      288
Connected component of an algebraic group      288
Connected formation      305
Connected subgroup      288
Connecting homomorphisms      693
Connecting operators      194
Connes algebra      237
Connes amenable algebra      238
Connes amenable operator c*-algebra      187
Connes injective      188 239
Connes injectivity      174
Connes — tzygan exact sequence      260 261 266
Connes, A.      186 188 252 255 259 263 709
Constraint programming      53 67
Construction of proofs      48
Constructions calculus of-      22
Constructive algebra      131
Constructive db      131
Constructive logic      13
Constructive set-theory      24
context      11
Context-free grammar      51
Continuous cohomology group      218
Continuous functions      156
Continuous g-module      46
Continuous homology      220
Continuous lifting      228
Continuous module      447
Continuous representation      158
Continuous simplicial cohomology      256
Continuous simplicial homology      257
Continuous trace      256
Contractible algebra      182
Contractible chain complex      815
Contracting operator      263
Contraction      516
Contraction of a lie algebra law      516
Contraction structural rule      49
Contravariant morphism functor      163
Convergence behaviour      35
Convergent power series ring      324
Convolution product      156
Cook, S.A.      67
Copairing operator      16
Coproduct      15 62
Coproduct type      16
Coquand — huet calculus of constructions      22
Coreduced abelian groups      685
Coresolution      195
Corestriction      814
Coretraction      171
Corner theorem      688
Corner, a.l.      701
Corner, l.s.      684
Correct map      100
Corredor, l.j.      303
Cosimplicial banach space      265
Coslender group      679
Cotensor      45 49
Cotorsion group      674
Cotorsion hull      693
Cotorsion theory      694
Cotorsion-free      674
Countable coproduct      62
Countable direct sums of torsion complete p-groups      683
Countably injective      408
Countably injective module      402
Covariant      395
Covariant morphism functor      163
Covering subgroup (w.r.t. a formation)      305
CPO      7
Crossed homomorphism      153
Crossed isomorphism of dbs      116
Crossed product      470
Crossed product algebra      485
Crossed Product Theorem      471 475
Csl-algebra      156 178 233
Cubric, d.      17 55
Cuntz, J.      263
Curien, p.l.      26 66
Curry typing      26
Curry — Howard isomorphism      5 13 51 54
Curry — howard viewpoint      20 37
Curry — howard-style analysis      49
Curry, H.B.      25 26
Currying      34 44
Currying of a morphism      6
Curtis, C.      192 193 223 761 763
Cut-elimination      29 41 51 65
Cut-elimination algorithm      48
Cut-elimination theorem      40 47 54
Cut-free form      48
Cutler, d.o.      677 687 697
Cutting down prime ideals      383
CW complex      817
CW-complex      797
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