Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Lang S. — Algebra
Lang S. — Algebra

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Algebra

Автор: Lang S.

Аннотация:

"Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books." NOTICES OF THE AMS "The author has an impressive knack for presenting the important and interesting ideas of algebra in just the right way, and he never gets bogged down in the dry formalism which pervades some parts of algebra." MATHEMATICAL REVIEWS This book is intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3rd edition, revised

Год издания: 2002

Количество страниц: 914

Добавлена в каталог: 02.07.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$GL_2$      300 317 537 715
$GL_n$      19 521 543 546 547
$SL_2$      69 537 539 546
$SL_2$generators and relations      69 70 537
$SL_n$      521 539 541 547
$S_3$ and $S_4$      722
$\mathcal C$-dimension      772
abc conjecture      195
Abelian      4
Abelian category      133
Abelian extension      266 278
Abelian group      4 42 79
Abelian Kummer theory      293
Abelian tower      18
Absolute value      465
Absolutely semisimple      659
Abstract nonsense      759
Abut      815
Action of a group      25
Acyclic      795
Adams operations      726 782
Additive category      133
Additive functor      625 790
Additive polynomial      308
Adic completion      163 206
Adic expansion      190
Adic topology      162 206
Adjoint      533 581
Adjoint functor      629
Affine space      383
Algebra      121 629 749
Algebraic closure      178 231 272
Algebraic element      223
Algebraic extension      224
Algebraic group      549
Algebraic integer      371
Algebraic set      379
Algebraic space      383 386
Algebraically closed      272
Algebraically independent      102 308 356
Almost all      5
Alternating algebra      733
Alternating form      511 526 530 571 598
Alternating group      31 32 722
Alternating matrix      530 587
Alternating multilinear map      511 731
Alternating product      733 780
Annihilator      417
Anti — dual      532
Anti — linear      562
Anti — module      532
Approximation theorem      467
Aramata’s theorem      701
Archimedean ordering      450
Artin conjectures      256 301
Artin theorems      264 283 290 429
Artin — Rees theorem      429
Artin — Schreier theorem      290
Artinian      439 443 661
Associated graded ring      428 430
Associated group and field      301
Associated ideal of algebraic set      381
Associated linear map      507
Associated matrix of bilinear map      528
Associated object      814
Associated prime      418
Associative      3
Asymptotic Fermat      196
Automorphism      10 54
Automorphism inner      26
Automorphism of a form      525 533
Balanced      660
Banach space      475
Base change      625
Basis      135 140
Bateman — Horn Conjecture      323
Belong group and field      263
Belong ideal and algebraic set      381
Belong prime and primary ideal      421
Bernoulli numbers      218
Bernoulli polynomials      219
Bifunctor      806
Bijective      ix
Bilinear form      146 522
Bilinear map      48 121 144
Binomial polynomial      434
Blichfeldt theorem      702
BLOCKS      555
Borel subgroup      537
Boundaries      767
Bounded complex      762
Bourbaki theorems on sets      881
Bourbaki theorems on traces and semisimplicity      650
Bracket product      121
Brauer’s theorems      701 709
Bruhat decomposition      539
Burnside theorems on simple modules      648
Burnside theorems on tensor representations      726
Butterfly lemma      20
Cancellation law      40
Canonical map      14 16
cardinal number      885
Cartan subgroup      712
Casimir      628 639
Category      53
Cauchy family      52
Cauchy of a ring      84
Cauchy sequence      51 162 206 469
Cayley — Hamilton theorem      561
Center of a group      26 29
Central element      714
centralizer      14
Chain condition      407
CHARACTER      282 327 667 668
Character independence      283 676
Characteristic      90
Characteristic polynomial      256 434 561
Characteristic polynomial of tensor product      569
Chevalley’s theorem      214
Chinese remainder theorem      94
Class formula      29
Class function      673
Class number      674
Clifford algebra      749 757
Closed complex      765
Closed subgroup      329
Closed under law of composition      6
Coboundary      302
Cocrespondence      76
Cocycle $GL_n$      549
Cocycle Hilbert’s theorem      90 288
Cocycle Sah’s theorem      303
Coefficient function      681
Coefficients of linear combination      129
Coefficients of matnx      503
Coefficients of polynomial      98 101
Coerasable      805
Cofinal      52
Cohomology      288 302 303 549 764
Cohomology of groups      826
Cokernel      119 133
Column operation      154
Column rank      506
Column vector      503
Commutative      4
Commutative diagram      ix
Commutative group      4
Commutative ring      83 84 86
Commutator      20 69 75
Commutator subgroup      20 75
Commutator subgroup of $SL_n$      539 541
Commute      29
Compact Krull topology      329
Compact spec of a ring      411
Complete family      837
Complete field      469
Complete ring and local ring      206
Completely reducible      554
Completion      52 469 486
COMPLEX      445 761 765
complex numbers      272
Component      503 507
Component of a matrix      503
Composition of mappings      85
Compositum of fields      226
Conjugacy class      673
Conjugate elements of a field      243
Conjugate elements of a group      26
Conjugate embeddings      243 476
Conjugate fields      243 477
Conjugate subgroups      26 28 35
Conjugation      26 552 570 662
Connected      411
Connected sum      6
Connection      755
Constant polynomial      175
Constant term      100
Content      181
Conttagredient      665
Conttavariant functor      62
Convergence      206
Convolution      85 116
coordinates      408
Coproduct      59 80
Coproduct of commutative rings      630
Coproduct of groups      70 72
Coproduct of modules      128
Coset      12
Coset representative      12
Countable      878
Covariant functor      62
Cramer’s Rule      513
Cubic extension      270
Cuspidal      318
Cycle in homology      767
Cycle in permutations      30
Cyclic endomorphism      96
Cyclic extension      266 288
Cyclic group      8 23 96 830
Cyclic module      147 149
Cyclic tower      18
Cyclotomic field      277—282 314 323
Cyclotomic polynomials      279
Davenport theorem      195
de Rham complex      748
Decomposable      439
Decomposition field      341
Decomposition group      341
Dedekind determinant      548
Dedekind ring      88 116 168 353
defined      710 769
Definite form      593
Degree of extension      224
Degree of morphism      765
Degree of polynomial      100 190
Degree of variety      438
Degree Weierstrass      208
Deligne — Secre theorem      319
Density theorem      647
Denumerable set      875
Dependent absolute values      465
Derivation      214 368 746 754
Derivation over a subfield      369
Derivation universal      746
Derivative      178
Derived functor      791
Descending chain condition      408 439 443 661
Determinant      513
Determinant ideal      738 739
Determinant of cohomology      738
Determinant of linear map      513 520
Determinant of module      735
Determinant of Witt group      595
Diagonal element      504
Diagonalizable      568
Diagonalized form      576
Difference equations      256
Differential      747 762 814
Dihedral group      78 723
Dimension in homology      806 811 823
Dimension in homology shifting      805
Dimension of character      670
Dimension of module      146 507
Dimension of transcendental extension      355
Dimension of vector space      141
Direct limit      160 170 639
Direct product      9 127
Direct sum      36 130 165
Directed family      51 160
Discrete valuation ring      487
Discriminant      193 204 325
Distinguished extensions of fields      227 242
Distinguished extensions of rings      335 291
Distinguished polynomials      209
Distributivity      83
Divide      111 116
Divisible      50
Division ring      84 642
Dolbeault complex      764
Dominate (polynomials)      870
Double coset      75 693
Doubly transitive      80
Dual basis      142 287
Dual group      46 145
Dual module      142 145 523 737
Dual representation      665
Effective character      668 685
Eigenvalue      562
Eigenvector      562 582—585
Eisenstein criterion      183
Elementary divisors      153 168 521 547
Elementary group      705
Elementary matrix      540
Elementary symmetric polynomials      190 217
Elimination      391
Elimination ideal      392
Embedding      11 120
Embedding of fields      229
Embedding of rings      91
Endomorphism      10 24 54
Endomorphism of cyclic groups      96
Enough injectives      787
Enough T-exacts      810
Entire      91
Entire functions      87
Epimorphism      120
Equivalent norms      470
Equivalent places      349
Equivalent valuations      480
Erasable      800
Euclidean algorithm      173 207
Euler characteristic      769
Euler phi function      94
Euler — Grothendieck group      771
Euler — Poincare characteristic      769 824
Euler — Poincare map      156 433 435 770
Evaluation      98 101
Even permutation      31
Exact      15 120
Exact for a functor      619
1 2 3 4
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте