Draxl P.K. — Skew fields :: Электронная библиотека попечительского совета мехмата МГУ

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Draxl P.K. — Skew fields

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Название: Skew fields

Автор: Draxl P.K.

Аннотация:

The book is written in three parts. Part I consists of preparatory work on algebras, needed in Parts II and III. This material is presented in a classical, though unusual, way. Part II consists of a modern description of the theory of Brauer groups over fields (from as elementary a point of view as possible). Part III covers some new developments in the theory which, until now, have not been available except in journals. The principal topic discussed in this section is reduced K,-theory. This book will be of interest to graduate students in pure mathematics and to professional mathematicians.

Язык:

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1983

Количество страниц: 196

Добавлена в каталог: 17.03.2011

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$\Gamma$ -module      33
${B}^{1}(\Gamma,M)$       34
${B}^{2}(\Gamma,M)$       93
${C}^{1}(\Gamma,M)$       34
${C}^{2}(\Gamma,M)$       93
${H}^{-1}(\Gamma,M)$       161
${H}^{0}(\Gamma,M)$       34
${H}^{1}(\Gamma,M)$       34
${H}^{2}(\Gamma,M)$       93
${K}_{1}(A)$       137
${K}_{2}(A)$       82
${SH}^{0}(A)$       155
${SK}_{1}(A)$       155
${UK}_{1}(A,I)$       172
${USK}_{1}(A,I)$       172
Adamson cohomology group      122
Albert's Criterion      87
Albert's Main Theorem      110
Algebra      25
Algebra homomorphism      25
Algebra, Clifford      105
Algebra, cyclic      49
Algebra, Galois      37
Algebra, p      106
Algebra, PI      122
Algebra, quaternion      78 84
Alkohol      1
Alternating group      142
Amitsur cohomology group      122
Antiautomorphism      112
Artin's Lemma      33
Artin-Schreier Theorem      63
Artin-Whaples Theorem      28
Artinian module      8
Balanced map      18
Bimodule      22
Brauer group      61
Brauer group, relative      61
Bruhat normal form      131
Bruhat normal form, strict      128
Central simple algebra      29
centralizer      40
Centralizer theorem      42
Clifford algebra      105
Conjugation (in cohomology)      100
Corestriction (in cohomology)      101
Corestriction (of algebras)      53
Crossed product      94
Crossed Product Theorem      96
Cup product      96
Cyclic algebra      49
Dedekind's Lemma      33
Dickson-s Theorem      91
Dieudonne determinant      135
Dihedral group      142
Eichler's Norm Theorem      165
Elementary matrices      8
Elementary operations      9
Exponent (of an algebra)      66
Flat module      21
Formally real field      105
Frobenius' Theorem      73
Galois algebra      37
Galois module      36
General Merkur'ev-Suslin Theorem      121
Global field      123
Grunwald Theorem      125
Grunwald-Wang Theorem      125
Hasse-Schilling-Maab Theorem      165
Hilbert's "Satz      90" 35
Hochschild's Theorem      110
Hochschild-Serre spectral sequence      62
Ideal      8
Idempotent      14
Index (of an algebra)      59
Index reduction factor      67
Inflation (in cohomology)      97
Inverse ring      27
Involution (of a ring)      112
Irreducible module      8
Jancevskii's Lemma      172
Koethe's Theorem      64
Laurent series      5

Linear extension      27
Local field      123
Matsumoto's Theorem      83
Maximal commutative subfield      45
Maximal commutative subring      40
Mazur-Gelfand Theorem      123
Merkur'ev-Suslin Theorem      119
Merkur'ev-Suslin Theorem, General      121
Metabelian field extension      65
Module      8
Module, $\Gamma$       33
Module, Artinian      8
Module, bi      22
Module, flat      21
Module, Galois      36
Module, Noetherian      8
Module, projective      16
Noether's Equations      34
Noetherian module      8
Norm (of a $\Gamma$ -module)      33
Norm (of an algebra)      143
Norm (of an algebra), reduced      145
Norm residue class group      34
Norm residue homomorphism      83
Opposite ring      27
Ordinary quaternions      3
Ostrowski's Second Theorem      123
p-algebra      106
Perfect group      140
Permutation matrix      9
PI-algebra      122
Power norm residue algebra      78
Projective module      16
Pythagorean field      105
Quadratic form      105
Quaternion      3
Quaternion algebra      78 84
Quaternion group      3
Real quaternions      3
Reasonable field      163
Reduced degree      59
Reduced degree, norm      145
Reduced degree, norm residue group      155
Reduced degree, tower formulae      150
Reduced degree, trace      145
Reduced degree, unitary Whitehead group      172
Reduced degree, Whitehead group      155
Relative Brauer group      61
Restriction (in cohomology)      99
Riehm's Theorem      118
Rosset-Tate Theorem      89
Rossetfs theorem      90
Scharlau's Criterion      116
Scharlau's Lemma      115
Scharlau's Theorem      116
Semisimple ring      11
Similar      60
Simple module      8
Simple ring      11
Skew field component      59
Skew field component, K-skew field      29
Skolem-Noether Theorem      38
Soluble field extension      65
Splitting field      61
Strict Bruhat normal form      128
Supernatural number      67
Symbol (in K-Theory)      83
Tannaka-Artin Problem      167
Tate's Reciprocity Lemma      88
Tensor product (of algebras)      25
Tensor product (of modules)      18
Tower formulae      144
Tower formulae, reduced      150
Trace (of an algebra)      143
Trace (of an algebra), reduced      145
Unitary Whitehead group      172
Vaserstein's Lemma      171
Wang's theorem      166
Wedderburn's Main Theorem      15
Wedderburnfs Theorem      73
Whitehead group      137
Whitehead group, reduced      155
Whitehead lemma      137
Witt's theorem      110

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