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

Taylor multi-operator spectral theory      204 214
Taylor spectrum      202 204 215 217
Taylor theorem on holomorphic calculus      205
Taylor theory      214
Taylor theory of multioperator holomorphic calculus      161
Taylor, J.L.      153 183 204 212 216 226 228 230 251
Tennent, R.D.      36 43
Tensor algebra      190 388
Tensor algebra generated by a duality      190
Tensor multiplication      165
Tensor multiplication by cyclic modules      165
Tensor product      49 163 585 695
Tensor product functor      164
Tensor product of complexes      199
Tensor product of spaces      164
Tensored $\ast$ -category      60
Tensored $\ast$ -category of hilbert spaces      60
Teranishi, y.      395
Term      281
Term of type a      10
Term operation      549
Terminal object      7
Terms as natural transformations      36
Terms as relation transformers      43
TG      669
Theory      281
Theory of abelian groups      669
Theory of computation      82
Theory of finite lascar rank      307
Theory of finite models      82
Theory of fixed rings      361
Theory of formations      305
Theory of maximal orders      463
Theory of pl-rings      366
Theory of separable algebras      463
Theory of varieties of groups      570
Theory of vertices and sources      821
Theta function      712
Thevenaz, J.      762 770 773 777 781 783 785 788 789 796 834
Third axiom of countability      682
Third axiom of countability with respect to nice subgroups      676
Thomas, M.P.      176
Thompson, J.G.      483
Tiuryn, J.      56
Tmc      58
tom Dieck, T.      763 786
Tominaga, h.      369
Tomiyama, J.      177
Topological abelian group      702
Topological algebra      153 155 159
Topological chain      220
Topological homology      153
Topological isomorphism      158
Topological left a-module      157
Topological module      155
Topological right a-module      157
Topological splitting      223
Topological square      156 191
Topological tensor product      155
Topological two-sided a-module      157
Topologically cyclic vector      178
Topology of pointwise convergence      46
Topology of proofs      51
Topology of surfaces in $\mathbf{r}^3$       709
Topos      24 95
Tor-computing complex      212
Tor-idempotent      697
Torsion class cogenerated by $\mathfrak x$       692
Torsion class of groups      691
Torsion complete $\rho$ -group      675
Torsion group      671
Torsion part      671
Torsion part of a group      669
Torsion product      697
Torsion theory      692
Torsion theory cogenerated by a class $\mathfrak x$       692
Torsion theory generated by a class $\mathfrak x$       692
Torsion-free      671
Torsion-free class generated by $\mathfrak x$       692
Torsion-free class of groups      691
Torsion-free dade functor      796
Torsion-free group of rank      1 677
Torsion-free rank      680
Tortile category      58
Torus of derivations      523
Totally categorical theory      281
Totally projective group      676
Toubassi, e.      688 696
Trace family of functions      58
Trace form      364
trace function      361
Trace-as-feedback      63
Traced cartesian category      59
Traced ideal      60
Traced monoidal category      63 65
Traced strong monoidal functor      60
Traced symmetric monoidal category      58 66
Transcendence degree      279
TRANSFER      774 798
Transfer map      758 798
Transfinite line      250
Transition probability      64
Transitive (g, h)-biset      829
Transitive abelian group      701
Transitive biset      791 830
Translation      14
Transvectant      395
Triangular elementary transformation      596
Trichotomy conjecture      279
Trichotomy theorem      312
Trivial deformation      514
Trivial source      760
Trivial type      309
True in $\mathfrak m$       281
Tuple sort      286
Turing computable function      42
Turing machine      40
Turing-machine computable function      18
Turing-machine computable partial functions      8
Twisted group ring      484
Two step nilpotent      634
Two-sided ring of quotients      408
Two-sorted structure      281
Two-step nilpotent      624
TYPE      84 677
Type 1 factor      170
Type constructor      39
Type erasure function      27
Type inference algorithm      27 48
Type inference rules      26
Type of $\overline m$ over a      282
Type of a universal integer      684
Type of an abelian torsion-free group of rank      1 677
Type of an element      677
Type theory dependent      22
Type-definable      282
Type-definable group      280
Type-definable set      283
Type-definable subgroup      286
Type-forming operation      10
Typed lambda calculus      5 10 12 14 19 30 33 55
Types as functors      36
Typing rules      27
Tzygan, B.L.      255
U      284
U(l)      583
Ullery, w.      676
Ulm factor      673
Ulm invariant      675 698 699
Ulm sequence      673

Ulm subgroup      673
Ulm theorem      675 699
Ulm type      673
Ulm — kaplansky invariant      675
Ulm — kaplansky theorem      675
Ultrafilter      282 328
Ultrapower      282 328
Ultraproduct      282
Ultraweak amenability      187
Ultraweak homological bidimension      243
Ultraweak topology      162
Ultraweakly closed *-subalgebra of $\mathcal b(h) with \mathbf 1$       162
Ultraweakly closed algebra      178
Ultraweakly closed operator algebra      233
Umirbaev, u.      598
Umlauf, k.a.      617
Unary sum axiom      61
Undecidable under zfc      677
Unification problem      26 27
Uniform algebra      167
Uniform algorithm      39
Uniform chain condition on intersections of uniformly definable subgroups      287
Uniform convergence      156
Uniform distributive module      404
Uniform right a-modules      420
Uniform right ideal      431
Uniformly definable      287
Uniformly given algorithm at all types      19
Uniformly locally nilpotent group      290
Uniformly radical commutative banach algebra      254
Unimodular hermitean form      485
Unimodular row      447
Uniserial artinian ring      407
Uniserial module      401 419 449
Uniserial ring      405
Unit coherence      44
Unit-regular ring      421 448
Unitary group      188
Unitization algebra      155 198
Universal active database      97
Universal active db      97
Universal algebra      12 81
Universal algebra multisorted      6
Universal algebra of queries      83 97
Universal algebra of replies      97
Universal automaton      129
Universal database      125
Universal db      105 120
Universal enveloping algebra      583 709
Universal mapping property      13
Universal property      18 30 163 822
Universal property of coproducts      17 44
Universal property of lists      18
Universal property of polynomial algebras      9
Universal property of products      44
Universal property of the burnside ring mackey functor      822
Universal R-matrix      709 723
Universal relational database      130
Universal truth      48
Universal type      37
Universally catenary ring      327
Universally japanese local ring      327
Untying axiom      62
Untyped aspect of computation      24
Untyped expression      22
Untyped lambda calculus      8 25 26
Untyped lambda calculus with pairing operators      26
Upper central series      523
Upper nil-radical      375
Urquhart, A.      67
Valette, J.      364 368 373 377 379 381
Valuated $\rho$ -group      698
Valuated group      698
Valuated subgroup      698
Valuation ring      402 463
Valuation theory      463
Van der kallen, w.      483
Van der Waerden, B.      571
Van oystaeyen, f.      471
Vanishing      58
Vanishing for traces      58
Var r      602
variable assignment      27
Variant type      16
Varieties of algebras      85 132 562
Varieties of lie algebras      567
Variety      83 128 602
Variety generated by a class of algebras      549
Variety of boolean algebra      134 552
Variety of boolean rings      552
Variety of cylindric algebras      83
Variety of groups      570
Variety of has      134
Variety of inverse semigroups      572
Variety of lie algebra laws      511
Variety of nilpotent lie algebra laws      512 631
Variety of right alternative algebras      558
Variety of solvable lie algebra laws      512
Varopoulos algebra      199 245 255
Varying part of a db      96
Varying semigroup      127
Vaughan-Lee, M.      560
Vector space dimension      279
Veis, a.      569
Verbal congruence      90 548
Verbal ideal      563
Verity, d.      58
Verma module      711
Versal deformation      323
Vertex      821
Vertex of a mackey functor      821
Vertex of an $\mathcal og$ lattice      758
Vertices and sources, theory of vertices and sources      821
Viljoen, g.      694
Villamayor, O.E.      466
Vinsonhaler, c.      678 687 689 691 692
Virtual diagonal      185 188
Vlasova,l.i.      686 691
Voiculescu, D.      233
Volkov, m.      559
Volterra algebra      187 255
von Neumann algebra      154 156 162 229
von Neumann algebra of type      11 170
von Neumann algebra of type III      170
von Neumann regular ring      441 600
Vonessen, n.      390
W.db a      243
W.dg a      242
W.dh x      241
Walker, c.      692 695 699
Walker, E.      681 687 689 699
Walters, r.f.c.      60
Warfield duality      691
Warfield group      682
Warfield, r.b., jr.      676 681 691 693
Watanabe, Y.      469
Weak bidimension      154
Weak datatype      19
Weak global dimension      242 401
Weak homological bidimension      243
Weak homological dimension      241
Weak mal'cev class      553
Weak natural numbers object      14 17
Weak operator topology      156
Weak t-algebras      21
Weak* topology      161
Weakening structural rule      49
Weakly amenable      187
Weakly amenable algebra      225
Weakly amenable banach algebra      192

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