
Noncommutative Rings
I. N. Herstein(Author)
Mathematical Association of America (Publisher)
5th Edition
Published on 8. September 2005
Book
Paperback/Softback
210 pages
978-0-88385-039-8 (ISBN)
Description
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.
Reviews / Votes
'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 mathematiqueMore details
Series
Edition
5th edition
Language
English
Place of publication
Washington
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 187 mm
Width: 126 mm
Thickness: 14 mm
Weight
205 gr
ISBN-13
978-0-88385-039-8 (9780883850398)
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Previous edition

I. N. Herstein
Noncommutative Rings
Book
10/2004
Mathematical Association of America
€32.00
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Content
1. The Jacobson radical; 2. Semisimple rings; 3. Commutativity theorems; 4. Simple algebras; 5. Representations of finite groups; 6. Polynomial identities; 7. Goldie's theorem; 8. The Golob-Shafarevitch theorem.