Noncommutative Rings: 15 (Mathematical Association of America Textbooks, Series Number 15) - Softcover

Herstein, I. N.

9780883850398: Noncommutative Rings: 15 (Mathematical Association of America Textbooks, Series Number 15)

Softcover

ISBN 10: 0883850397 ISBN 13: 9780883850398

Publisher: The Mathematical Association of America, 2005

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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Review:

'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 ... 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

'Noncommunicative Rings provides a cross-section of ideas, techniques and results that give the reader an idea of that part of the alegbra which concerns itself with noncommunicatice rings. Almost every practising ring theorist has studied portions of this classic monograph.' L'enseignement mathematique

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