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

Retract in a poset      632
Retraction      614 698
Retraction comap of a matroid to a flat      172
Rewrite rule      534
Riccati algebraic matrix equation      94
Riccati equation      94
Riedtmann classification theorem for quasi-Frobenius algebras      864
Riemann existence theorem      299 657
Riemann hypothesis for function fields      273
Riemann — Hilbert correspondence      815
Riemann — Roch theorem      418
Riemann's $\zeta$ -function      371
Riesz projector      125
Right       740
Right $\alpha$ -fir      741
Right $\mathcal{C}$ -module      511
Right $\upsilon$ -dependence      743 750
Right $\upsilon$ -dependence of an element on a family      743
Right $\upsilon$ -dependent family      743
Right adjoint functor      616
Right adjoint of pullback functor      506
Right annihilator set      849
Right but not left primitive rings      736
Right C-comodule      633
Right cancellativity      430
Right cofinal in $\mathcal{C}$ with respect to $\Sigma$       690
Right coherent      742
Right comaximal matrices      756
Right derived functor      696 698
Right F-acyclic object      699
Right fir      738
Right hereditary ring      738
Right homotopic maps      654
Right ideal in a near-ring      468
Right invariant subspace      82
Right Jordan chain of a matrix pencil      82
Right Jordan chain of a matrix polynomial      101
Right Kan extension      625
Right lifting property      650
Right localizing class of morphisms      619
Right maximal quotient ring      868
Right near-ring      466
Right noetherian rings whose Jacobson radical is not nilpotent      736
Right Ore domain      735 739
Right PF ring      852
Right regular representations      848
Right semihereditary ring      738
Right skew polynomial ring      735
Right socle      846
Right solvent of A(l)      138
Rigid monoid      750
Rigidity theorem of Gabber, Gillet and Thomason      660
Ring left nonsingular      799
Ring of adeles      374
Ring of differences      438
Ring of differential operators      817
Ring of differential operators over the convergent power series over $\mathbb{C}$       828
Ring of dual numbers      678
Ring of integers      224
Ring of p-adic integers      227
Ring of universally stable elements      601
Ring of upper triangular $n \times n$ -matrices      678
Ring of Witt vectors      230
Rings of global dimension 1      738
Rings of infinite matrices      763
Rings whose set of right ideals is well-ordered      736
Rings with preassigned left and right global dimensions      736
Robertson — Seymour graph minor theorem      166
Room squares      354
Roos complex      631
Root subspace of a regular pencil      85
Rota's theorem      172
Row code of a BIB      484
Rowen’s theorem on Pl-rings      791
RSA cryptosystem      346
s-section of a higher derivation      198
S-semialgebra      451
S-semimodule      449
S-sequence      683
Sample empirical covariance matrix      31
Sample mean vector      31
Saturated chain of flats      162
Saturated left Ore set      824
Schanuel’s Lemma      748
Schedule algebra      429
Scheme      531
Schreier factor system      567
Schreier — Lewin formula      748
Schreier’s formula for groups      748
Schur canonical form      82
Schur lemma      773
Schur multiplier      589
Schur theorem      38
Scum theorem      171
Second inequality of class-field theory      371
Second module of syzygys      707
Section      283 801
Self-dual basis of a finite field      328
Self-dual code      403
Self-duality      857
Self-injective algebra      846
Self-orthogonal code words      403
Semi-hereditary ring      718
Semi-perfect ring      719
Semi-prime ideal      781
Semi-prime ring      781
Semi-simplicial complex      642
Semiautomaton      490
Semicircle law      53
Semifield      428 430 468
Semifir      733 739
Semigroup of differences      438
Semigroup of right quotients      436
Semigroup semiring      449
Semimodularity      162
Semimodule      443
Seminear-field      429
Seminear-ring      429 468 469 495
Seminear-rings and rooted trees      494
Semiprime ring      781 797
Semiring      427 468
Semiring of formal languages over an alphabet      450
Semiring of formal power series      450
Semiring of right quotients      437
Semisimple mc-module      489
Semisimple near-ring      472
Semisimple rings      738
Semistable cokernel      615
Semistable kernel      615
Semisubtractive semiring      428
Sender of a message      397
Separable dynamical input-output system      493
Separable filtration      818
Separable Hilbert set      303
Separable Hilbert subset      303
Separably closed field      276
Separably Hilbertian field      303
Separated filtration      817
Separating coproduct      758
Separating transcendence basis      192
Separator of a matroid      163
Serial algebra      850
Serial module      850
Series connection      494
Serre fibration      651
Serre’s duality theorem      673
Serre’s formula for the Hasse — Witt invariant of the trace form      664
Sesquicategory      534
Sesquifunctors      535
Set of eigenvalues of a matrix      120

Set of generators      709
Set of morphisms from X to Y in a category $\mathcal{C}$       677
Set of representatives      227
Set of simplicial homotopy classes      648
Sext(K)      311
Shadows of an element      434
Shafarevich's theorem      259
Shannon theorem      399
Shannon’s information theory      399
Shapiro lemma      593
Sharply 2-transitive groups      471
Sharply 3-transitive groups      471
Sharply k-transitive group of permutations      471
Sharply k-transitive groups for $k \geq 4$       471
Sheaf      505 801
Sheaf $\Gamma_P$ of sections      505
Sheaf axioms      505
Sheaf cohomology groups      518
Sheaf cohomology groups of a Grothendieck topos      517
Sheaf of micro-local differential operators      826
Sheaf on a site      507
Sheaf predicate      805
Shift operator      616
Shift-register methods      354
Shirshov composition lemma      768
Short exact sequence      614 710
Shortest path problem      429
Si      795 809
Signature      804
Signature of a nonzero element      368
Signed basis exchange      169
Silver — Pohlig — Hellman algorithm      338
Similar algebras      774
Similar central simple algebras      775
Similar monic block eigenpairs      83
Simple finite group characterization result      475
Simple finite nonabelian group      475
Simple locally nilpotent ring      769
Simple matroid      160
Simple near-ring      468
Simple nil ring      769
Simple ring      708 763
Simple specialization      171
simplex      642
Simplex category      645
Simplex code      405
Simplicial approximation theorem of Brouwer      641
Simplicial complex      641 642
Simplicial contracting homotopy      643
Simplicial fibre bundles      649
Simplicial function space      649 650
Simplicial homotopy      644
Simplicial homotopy classes      659
Simplicial homotopy groups      648
Simplicial identities      645
Simplicial matroids      165
Simplicial object      518
Simplicial presheaf      657
Simplicial set      572 644
Simplicial set as a contravariant functor      645
Simplicial set of a category      645
Simplification of a matroid      162
Singular cohomology ring of the complement of a complex arrangement      165
Singular complex of a topological space      645
Singular homology theory      641
Singular n-simplex      642
Singular set of a topological space      648
Singular value decomposition of matrix valued functions      134
Singular values of matrix valued functions      134
Site      506
Site axioms      506
Site of a complete Boolean algebra      508
Site of finite type      513
Sketch      531
Skew Laurent series      736
Skew polynomial ring      734
Skew power series ring      736
Skolem — Noether theorem      774 856
Slice category      506
Slice topos      506
Small etale site      507
Smith canonical form      135
Smith domain      135
Snake lemma      711
Socle      788 845
Solution      280
Solution field      304
Solution of a system of equations over an algebra in a variety      479
Soule’s K-theory Chem class map      661
Source      532
Spacing of eigenvalues      75
Specialization      170
Specialization lemma      750
Spectral characteristics of matrix polynomials      100
Spectral function of random matrices      48
Spectral invariant subspace      85
Spectral radius of a matrix      127
Spectral sequence      595
Spectral stochastic differential equations for random matrix-valued processes with multiplicative independent increments      67
Spectral stochastic differential equations for random symmetric matrix processes with independent increments      67
Spectrum      802
Spectrum of a matrix      120
Spectrum of a matrix pencil      82
Sperner Space      486
Spheres of radius e      401
Splicing product      678
Split field extension      192
Split objects, compositions of derived functors      698
Splittable extensions      859
Stability site axiom      506
Stabilizable pair of matrices      94
Stable categories      682
Stable category of a Frobenius category      685
Stable category of an exact category with enough injectives      685
Stable category of mod A      863
Stable cokernel      615
Stable field      308
Stable homotopy theory      657
Stable kernel      615
Stable matrix      68 89
Stable short exact sequence      615
Stable with respect to X polynomial      304
Stably associated matrices      756
Stably equivalent algebras      863
Stafford’s theorem      780
Stalk      802
Stamm      467
Standard (G, H)-projective resolution      627
Standard (R, S)-projective resolution      627
Standard complex for coalgebra cohomology      634
Standard n-simplex horns      642
Standard projective resolution      627
Standard resolution      588
Standard set of generators      216
Standard triangle      682
State set      490
State transition function      490 492
States      492
Steenrod algebra      598
Steenrod operations      598
Steenrod squaring operation      664
Steinberg property      249
Steiner triples      17
Stiefel — Whitney classes      660
Stieltjes transform      50 73
Stochastic condition of complete controllability      74
Stochastic Ljapunov problem      68
Stochastic Sturm — Liouville problem      54
Straightening products      734
Straightening rule      734

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