Schofield A.H. — Representations of rings over skew fields :: Электронная библиотека попечительского совета мехмата МГУ

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Schofield A.H. — Representations of rings over skew fields

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Название: Representations of rings over skew fields

Автор: Schofield A.H.

Аннотация:

The first half of the book is a general study of homomorphisms to simple artinian rings; the techniques developed here should be of interest to many algebraists. The second half is a more detailed study of special types of skew fields which have arisen from the work of P. M. Cohn and the author.

Язык:

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1985

Количество страниц: 236

Добавлена в каталог: 23.05.2011

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

Предметный указатель

Base ring      22
Basic module      23
Basic transfer map      23
Bound module      18
Brick      111
Dominion      122
Doubly transitive      155
Enveloping algebra      174
Factor closed      82
Factor ring      22
Faithful projective rank function      5
Faithful R-ring      22
FIR      4
Free transfer map      23
Full map      10
Generating number      10
Generating spartial splitting skew field      159
Geometrically regular      39
Grothendieck group      3
Honest      81
Induced map      23
Induced module      23
Inner projective rank function      10
Law of nullity      11
Left bound modules      18
Left full map      10
Left hereditary ring      3
Left nullity      10
Left semihereditary ring      3
Lower multiplicatively closed      39
Maximal epic subring      122
Minimal factorisation      14
n-transcendental      158
Partial projective rank function      5
Perfect ring      77
Pointed cyclic bimodule      196
Pre-injective      192
Pre-pre-rank      115
Pre-projective      192

Pre-rank      115
Prime matrix ideal      95
Projective rank function      5
R-ring      22
Regular field extension      143
Regular skew field extension      159
Ring coproduct      22
Saturated      55
Saturation      55
Semifir      4
Simple artinian coproduct      81 101
Singular kernel      94
Species      215
Stably associated      16
Stably free skew field      203
Stably isomorphic      4
Standard u.t. rank function      199
Sylvester domain      11
Sylvester map rank function      97
Sylvester matrix rank function      97
Sylvester module rank function      96
Sylvester projective rank function      11
Sylvester rank function      97
Tensor ring      79
Torsion left modules      16
Totally algebraically closed      158
Totally transcendental      158
Trace ideal      7
TRANSPOSE      18
Transvection      23
Tree coproduct      153
Tree of rings      153
Twisted form      139
Unbounded generation number      5
Universal localisation at rank function      77
Upper multiplicatively closed      55
von Neumann regular ring      4
Weak algorithm      163
Weakly semihereditary ring      3
Well-positioned      110

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