Noncommutative Rings

Couverture
Cambridge University Press, 8 sept. 2005 - 202 pages
A classic advanced textbook, containing a cross-section of ideas, techniques and results that give the reader an unparalleled introductory overview of the subject. The author gives an integrated presentation of overall theory and its applications in, for example, the study of groups of matrices, group representations, and in settling the problems of Burnside and Kurosh. Readers are also informed of open questions. Definitions are kept to a minimum and the statements of the theorems are sharp and clear.
 

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Table des matières

The Jacobson Radical
1
Semisimple Rings
39
Commutativity Theorems
69
Simple Algebras
89
Representations of Finite Groups
124
Polynomial Identities
150
Goldies Theorem
169
The GolodShafarevitch Theorem
187
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