Hazewinkel M. — Handbook of Algebra (часть 1) :: Электронная библиотека попечительского совета мехмата МГУ

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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:

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

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Предметный указатель

Partially ordered (p.o.) semigroup      446
Partially ordered (p.o.) semiring      446
Partition      486
Partition of a group      486
Partition of unity      133
Pascal’s triangle of string-like diagrams      559
Pasting      536
Pasting composite      537
Pasting diagrams      537
Pasting operation      538
Path algebra      429 454
Path object      654
Paths of greatest reliability      429
Peano axioms      526
Pencil      215
Penrose diagrams      559
Pentagon for associativity constraints      563
Perfect code      401
Perfect matchings      17
Perfect ring      719
Periodic linear recurring sequence      340
Periodic module over a quasi-Frobenius algebra      854
Permanent of a square $n \times n$ matrix      6
Permutation polynomial      333
Permutation polynomial in m indeterminates over       336
Permutation representation      302
Perturbation formulas      65
Perturbation theory for divisors of monic matrix polynomials      140
Petri nets      554
Pfaffian structures      168
Pi-ring      791
Pick functions      128
PID      738
Piecewise endomorphisms      489
Planar near-field      470
Planar near-ring      481
Planar near-rings and Frobenius groups are "basically the same"      481
Plane graph      544
Poincare duality group      602
Poincare series      747
Point in a matroid      161
Point of a topos      512
Pointless spaces      503
Points of a spectrum      802
Pointwise similarity of matrices      131
Poisson product      828 831
Polar decomposition of random matrices      33
Pole-zero cancellation      147
Polygon matroid of a graph      160
Polynomial basis      326
Polynomial in x      733
Polynomial matrix      134
Polynomial matrix equations      99
Polynomial ring      733
Polynomial semiring      433
Polynomially complete algebra      478
Polynomials in knot theory      174
Polynomials with small value set      336
Pop's $\frac{1}{2}$ Riemann existence theorem’      301
Pop's theorem      314
Positive cone      446
Positively p.o. semigroup      446
Postnikov tower of a Kan complex      649
Powerset object      504
PPC      311
PRC      311
Preabelian category      614
Predicate      804
Prehomogeneous vector space      854
Prehomogeneous vector space of an algebra      855
Presentation      284
Presentation of a 2-category      547
Presentation of a 3-category      555
Preservation of R.S under microlocalization      827
Presheaf      507 801
Presheaf on a site      507
Primary decomposition of ideals      708
Primary decomposition of modules      708
Prime (uniformizing) element      226
Prime dimension of a ring      797
Prime ideal      782
Prime ideal theorem, Primidealsatz      381
Prime of a field      294
Prime of a function field      298
Prime R-module      757
Prime ring      781
Primitive BCH code      409
Primitive character      369
Primitive element of       324
Primitive ideal in a near-ring      473
Primitive idempotent      788
Primitive near-ring      473
Primitive normal basis      326
Primitive polynomial over       325
Primitive with a nonzero one-sided ideal      788
Primitive with a nonzero socle      788
Principal G-bundle      511
Principal ideal domain      715 738
Principal ideal theorem      373
Principal ideal theorem, Hauptidealsatz      368
Principal operation      805
Principal predicates      805
Principal right ideal domain      739
Principle of idealization of Nagata      708
Pro- $\mathcal{C}$ group      278
Pro-p group      278
Procyclic group      275
Product formula      374
Product of modules      712
Profinite fundamental group of the topos $\mathcal{E}$       522
Profinite group      271 275
Profinite space      311
Profunctor      565
Progressive plane graph      544
Progressive plane graph with boundary      544
Projective code      404
Projective cover      719 846
Projective geometries      164
Projective group      283
Projective ideals      718
Projective incidence group      471
Projective module      717
Projective near-field      470
Projective object      681
Projective proper class of cokernels      616
Projective representations of finite groups      588
Projective spaces      471
Projective-free ring      738
Projectivity with respect to a class of short exact sequences      616
Pronilpotent group      279
Proper class      614
Proper class generated by a set of objects      616
Proper class of cokernels axioms      614
Proper class of cokernels in a pre-abelian category      613
Proper class of short exact sequences      613
Proper classes in preabelian categories      614
Proper closed simplicial model category      651
Proper semiring      427
Properties of a suspended category      685
Properties of a triangulated category      686
Properties of microlocalizations      823
Properties of the $n \times n$ matrix near-ring      480
Properties of the theory of linear matroids      170
Prosolvable group      279
Pruefer group      275
Pruefer purity      613
Pruefer ring      718
Pseudo $\mathcal{K}$ -closed field      311
Pseudo algebraically closed field      278 307
Pseudo cross-sections      665

Pseudo finite fields      277
Pseudo functor      566
Pseudo p-adically closed field      311
Pseudo real closed field      311
Pseudorandom numbers      354
Pseudorandom vectors      356
Public-key cryptosystem      346
Pullback functor      506
Pure global dimension      623
Pure short exact sequence of abelian groups      622
Pure subgroup      622
Pure-injective groups      622
Pure-injective modules      622
Pure-projective groups      622
Pure-projective modules      622
Purely unramified extension      256
q-ary Hamming code      405
q-ary [n, k] code      400
Q-semiring      437
Q-transform      331
QR codes      410
Quadratic reciprocity law      378
Quadratic residue codes      410
Quasi-finite field      277
Quasi-finite residue field      247
Quasi-Frobenius algebra      850
Quasi-Frobenius ring      852
Quasi-injective module      726
Quasi-isomorphism between two complexes      673
Quasi-isomorphisms      692
Quasi-projective module      726
Quasi-random points      354
Quasi-random points in       356
Quasi-regular prehomogeneous vector space      855
Quillen — Suslin theorem      719
Quillen’s axiom SM7      651
Quillen’s dimension theorem      599
Quillen’s theorem      657
Quillen’s theorem B      657
Quite primitive ring      788
Quite regular N-group      793
Quotient category of a sesquicategory      535
Quotient filtration      820
Quotient functor      691
Quotient matroid      171
R-cohomological dimension of $\mathcal{C}$       630
R-module      708
R.S      826 827
Radical      769
Radical of a near-ring      472
Radical property      769
Rado's extension of the marriage theorem      165
Ramification group      240 288
Ramification index      232 287
Random Jacobi matrix      53
random matrix      29
Rank      279
Rank factorization      741
Rank factorization of a matrix      741
Rank function      159
Rank function axioms for matroids      159
Rank function for torsion free nilpotent groups      603
Rank function on projective modules      755
Rank of a flat      162
Rank of a free algebra      745
Rank of a matrix      741
Rank of a matroid      159
Rank t higher derivation      189 196
Rank variety of M      600
Rational completeness      795
Rational homotopy theory      657
Rational matrices      143
Rational points      416
Ray-class-field      371
Ray-class-group (mod f)      370
RC      795 810
Reachable state      491 492
Real analytic matrix functions      132
Real closed field      276
Real closure      294
Real free profinite group      300
Realization      144
Realization (representation) theorem      516
Realization of a rational matrix      144
Realization of a simplicial set      645
Realization of near-rings by GSA’s      491
Realization of the standard n-simplex      646
Receiver of a message      397
Reciprocity law      292 375
Reciprocity map      245 292
Reduced finiteness      807
Reduced order      793
Reduced path      543
Reduced-finite group      793
Reduction of random matrices to triangular form      38
Reduction principle      819
Redundancy      398
Reed — Solomon codes      410
Rees ring      820
Reflexive module      851
Regular component      861
Regular element      798
Regular extension      304
Regular field extension      190
Regular groups      793 809
Regular linear matrix pencil      81
Regular matrix polynomials      100
Regular matroid      165
Regular N-group      809
Regular over K Galois group      304
Regular prehomogeneous vector space      855
Regular prime      378
Regular singularities      826
Regular singularities along J(M)      827
Regular solution field      304
Relation module      604
Relation rank      284
Relative Brauer groups      285
Relative cohomology      625
Relative cohomology of a functor with coefficients in an abelian group valued functor      625
Relative cohomology of the category $\mathcal{C}$       626
Relative derived categories      613
Relative derived category      619
Relative global dimension of a category      623
Relative global dimension of a ring      623
Relative Grothendieck group      624
Relative groups of extensions      619
Relative Hochschild cohomology of algebras      627
Relative homological algebra      613
Relative homological algebra in module categories      622
Relative injectives      613
Relative p-basis      191
Relative projectives      613
Relative right derived functors      621 625
Relative spectral sequences      625
Relatively p-independent subset      191
Relatively separated field extension      195
Relaxing a circuit method      169
Reliable field extension      195
Representation group of G      589
Representation of a matroid      164
Residue degree      232 287
Residue field      224
Restricted p-Lie algebra      196
Restriction      282 592
Restriction map in group cohomology      593
Restriction of a matroid      162
Resultant      141
Resultant matrix of two polynomials      141
retract      632

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