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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
Incidence algebra      632
Independence of the axiom of choice      526
Independence of the continuum hypothesis      526
Independence of triangulation      641
Independence structures      160
Independent set augmentation      159
Independent set axioms for matroids      159
Independent sets      159
Indeterminate      433
Index of a higher derivation      198
Index of a relative to b in a finite field      337
Index-calculus algorithm      338
Induced filtration      820
Induced functors      697
Induced module      282 593
Induced polynomial function      476
Induction of modules      593
Inductively closed proper class      613 622
Inert subring of a ring      749
Inertia group      288
Inertia lemma      750
Inertia subfield      235
Inertia subgroup      236
Inertia theorem      749
Infinite eigenvalue of a matrix pencil      82
Infinite p-class-field-tower      385
Infinite rank higher derivations      190
Infinite sums      451
Infinite sums of triangles      688
Inflation      282 592 679
Inflation map in group cohomology      593
Inflation of a semiring      434
Information rate      398
Injection of matroids      171
Injective Banach space      682
Injective dimension of a module      725
Injective envelope      846
Injective hull      725 846
Injective module      723 724
Injective modules and essential extensions      725
Injective object      681
Injectives in module categories      681
Inner $\alpha$-derivation      734
Inner automorphisms      792
Inner coderivation      635
Inner cointegration      635
Inner derivation      629
Inner rank of a matrix      741
Input set      490
Inputs      492
Inseparability exponent      190
Inseparability order      191
Inseparable field extension      190
Integral domains with a unique remainder algorithm      736
Integral element over a ring      707
Integral representation of Pick functions      128
Integral singular homology groups      642
Integral singular n-chains      642
Intersection cohomology      673
Intersection lattice of an arrangement of hyperplanes      165
Interval computad      550
Invariant basis number (IBN)      739
Invariant factors of the torsion module      717
Invariant polynomials of $A(\lambda)$      135
Invariant subgroup relative to another subgroup      205
Invariant subspace of a regular pencil      82
Inverse      428
Inverse filtration      748
Inverse image functors      509
Inverse limit      275
Inverse limit of modules      713 714
Inverse system      275 713
Inverse weak algorithm      748
Inversion of summations      172
Invertible ideal      718
Involutions      276
Involutive characteristic variety      815
Involutive ideal      828 831
Involutiveness of a characteristic ideal      828
Involutivity for strongly filtered rings      831
Irreducible morphism between indecomposable modules      861
Irreducible N-group      472
Irreflexive monoid      752
Isomorphic idempotents      845
Isomorphism of modules      710
Isthmus element of a matroid      163
Iterative higher derivation      198
IWA      748
j-sheaf      506
Jacobson radical      770
Jacobson radical for semirings      443
Jacobson — Chevalley Density Theorem      767
Jacobson-type radical for near-rings      467
Jacobson’s density theorem for rings      474
Jakovlev’s theorem      260
Jannsen — Wingberg’s theorem      260
Johnson theorem      799
Jordan block      121
Jordan chains      130
Jordan normal form      121
Joyal species      531
Joyal — Tierney Grothendieck topos      516
k-closed ideal      441
k-closure      441
k-flat in finite geometry      352
k-fold transitive set      473
k-fold transitive subnear-ring      474
k-ideal      441
k-interpolation property      474
K-regular realization over $K(\mathbb{T})$      304
K-ring      757
k-split sequences      680
K-theory      174
Kan complex      648 650
Kan extension      511
Kan — Thurston theorem      583
Karzel — Tits field      471
Kashiwara filtration      838
Kazhdan — Lusztig conjecture      673
Kernel morphism      614
Kernel of a generalized translation structure      487
Kernel of a homomorphism      442
Kernel of a morphism of modules      710
Kernel of the embedding problem      280
Key-exchange system of Diffie and Hellman      346
Keystream      347
Klassenkoeperturmproblem      384
Kleene’s recursive realizability semantics      527
Kochen operator      296
Koch’s theorem      259
Koethe upper nil-radical      769
Kripkc models      527
Kronecker normal form      122
Kronecker — Weber Theorem      295 367
Kronecker's "Jugendtraum"      382
Kronecker’s Youth Dream      383
Krull topology      196 273 375
Krull — Schmidt theorem      624 846
Kuenneth relations      675
Kuenneth theorem      586
Kummer extensions      249
Kuratowski’s theorem for planar graphs      166
Kurosh problem for division algebras      779
Kurosh — Amitsur radical theory for semifields      443
Kurosh — Amitsur radical theory for semirings      443
L-theory Stiefel — Whitney classes      661
Lang isomorphism      660
Langlands program      368
Laplace transform      144
Laplace’s expansion for determinants      168
Large category      688
Largest Boolean subtopos      525
Latin rectangles      17
Latin square      349
Lattice of flats      161
Lattice ordered group      436
Lawvere — Tierney topology      506 525
Lax functor      565
Lax-coequalizer      513
Lazard’s characterization of flat modules      722
Least common left multiple of matrix polynomials      136
Left $ACC_n$      740
Left $\upsilon$-dependence      743
Left absorbing addition      429
Left adjoint functor      616
Left adjoint functor of the matrix functor      752
Left adjoint of pullback functor      506
Left algebraic microlocalization      821 822
Left and right global dimensions      736
Left annihilator set      849
Left comparison condition      824
Left derived functor      621 698
Left derived functor $Tor_n^A(M, N)$      674
Left dominant dimension      871
Left dominant dimension of an algebra      871
Left exactness      711
Left faithfully flat      758
Left fir      738
Left Goldie dimension of a left module      798
Left Goldie ring      798
Left Haar measure      29
Left homotopy of maps      654
Left ideal      441
Left ideal in a near-ring      468
Left identity      427
Left identity in a semiring      427
Left invariant subspaces      83
Left inverse      698
Left Jordan chains      82
Left Jordan chains of the polynomial $A(\lambda)$      101
Left lifting property      649
Left localizing class      619
Left maximal quotient ring      868
Left near-rings      466
Left order      798
Left Ore condition      799
Left Ore domain      735
Left Ore set      821
Left PF-ring      852
Left QF-1 algebra      866
Left QF-2 algebra      866
Left QF-3 algebra      866
Left regular representation      848
Left self-injective ring      846
Left serial algebra      850
Left skew polynomial ring      735
Left socle      846
Left transduction      746
Left triangle adjoint      688
Left zero      427
Left zero in a semiring      427
Left zero-divisor      430
Left-invariant Haar measure      29
Legendre symbol      378
Length 2-functor      546
Length of a chain of flats      162
Length of a code      398
Length of a path      532
Lenz — Barlotti type      471
Leray spectral sequence      518
Levitzki locally nilpotent radical      769
Levitzki radical for semirings      443
Levitzki — Shirshov theorem      779
LHS sequence      595
LHS spectral sequence      595
Lichtenbaum — Quillen conjecture      666
Lie-ring      828
Lift of a derivation scheme      536
Lifting principle      817
Limit theorems for determinants of random Jacobi matrices      53
Limit theorems for eigenvalues of random matrices      58
Limit theorems for random determinants      47
Lindeberg condition      70
Linear code      400 484
Linear complexity      347
Linear complexity profile      348
Linear dynamical system      493
Linear feedback shift-register sequences      340
Linear independence of automorphisms theorem      776
Linear matroids      164
Linear recurring sequences      340
Linear semiautomata      491
Linear space of all $m \times n$ matrices      120
Linear systems theory      143
Linearly disjoint      189
Linking system      168
Ljapunov’s theorem      68
Local class-field theory      376
Local fibration      658
Local field      242 293
Local global principle      295
Local Hilbert symbol      379
Local homeomorphism      505
Local Kronecker — Weber theorem      252
Local parameters      226
Local polynomial functions      477
Local prime of a field      313
Local theory      658
Local trivial fibration      521
Local-global finiteness result for modules over strongly filtered rings      832
Local-global principle      227
Local-global theorem for modules with regular singularities      830
Locales      503 513
Localic group      514
localization      674 717
Localization of categories      688
Localization of triangulated categories      690
Localized pseudo-norm      822
Localizing class of morphisms      619
Localizing subcategories      717
Locally belonging to a group      808
Locally connected topos      523
Locally constant object in a topos      522
Locally inner automorphism      305
Locally nilpotent ring      770
Locally polynomially complete algebra      478
Loewner partial order      128
Loewner’s theorem      128
Logarithmic law      47
Logarithmic unimodality conjecture      173
Long Exact Sequence      585
Long Exact Sequence in Group Cohomology      586
Loop in a matroid      160
Lorentz space      12
Lubin — Tate formal group      252
Lyapunov’s theorem      89
Lyndon — Hochschild — Serre spectral sequence      518 595
M-group      793 808
Macintyre’s isomorphism theorem      297
MacLane — Steinitz exchange property      161
MacWilliams relation      404
Majorization problems      17
Malcev — Neumann construction      737
Malcev — Neumann series      738
Map of oriented simplicial complexes      643
Mapping cone      617 685
Mapping quite continuous      800
Marcus — Newman conjecture on permanents      14
Marriage theorem      165
Martindale ring of quotients      783
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