Noncommutative Rings

The Carus Mathematical Monographs - 15

I. N. Herstein - Collection The Carus Mathematical Monographs

202 pages, parution le 01/01/1968

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Résumé

A cross-section of ideas, techniques and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings.

This beautiful book is the result of the author's wide and deep knowledge of the subject matter combined with his gift for exposition...The well selected material is offered in an integrated presentation of the structure theory of noncommutative (associative rings) and its applications. Besides seeing the theory at work in the study of groups of matrices, group representations, and in settling the problems of Burnside and Kurosh, there are, or there are given the bases for the construction of counterexamples, so the reader can see how a theorem fails under weaker assumptions. Readers are also informed of open questions and of the latest generalizations not presented in the book...The style is lively and smooth. Definitions are kept to a minimum and the statements of the theorems are sharp and clear.

This book will appeal to many a reader. It would be wonderful as a textbook, and in fact, it is based on the author's lecture notes...Only people looking for the most general form of a particular theorem are advised to turn to other books, but those interested in studying or reviewing its subject matter or looking for a rounded account of it could do no better than choosing this book for this purpose.

AMS Bulletin

Sommaire

The Jacobson radical
Semisimple rings
Commutativity theorems
Simple algebras
Representations of finite groups
Polynomial identities
Goldie's theorem
The Golod-Shafarevitch theorem

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Caractéristiques techniques

	PAPIER
Éditeur(s)	The Mathematical Association of America (MAA)
Auteur(s)	I. N. Herstein
Collection	The Carus Mathematical Monographs
Parution	01/01/1968
Nb. de pages	202
Format	13 x 19
Couverture	Relié
Poids	315g
Intérieur	Noir et Blanc
EAN13	9780883850152