Noncommutative Noetherian Rings (Graduate Studies in Mathematics) - Hardcover

J. C. McConnell And J. C. Robson

Hardcover

ISBN 10: 0821821695 ISBN 13: 9780821821695

Publisher: American Mathematical Society, 2001

Synopsis

This is an updated edition of a work that was considered the definitive account in the subject area upon its initial publication by J. Wiley & Sons in 1987. It presents, within a wider context, a comprehensive account of noncommutative Noetherian rings. The author covers the major developments from the 1950s, stemming from Goldie's theorem and onward, including applications to group rings, enveloping algebras of Lie algebras, PI rings, differential operators, and localization theory. The book is not restricted to Noetherian rings, but discusses wider classes of rings where the methods apply more generally. In the current edition, some errors were corrected, a number of arguments have been expanded, and the references were brought up to date. This reprinted edition will continue to be a valuable and stimulating work for readers interested in ring theory and its applications to other areas of mathematics.

About this title

From the Publisher

Provides a comprehensive account of the major developments in this important branch of ring theory which have taken place over the past 30 years. Much of the material which comprises this volume has not appeared anywhere in book form before, and the authors have improved and simplified many of the accounts available in journals. The first few chapters form a ``basic course'' which introduces the reader to the subject. Subsequent chapters are each relatively self-contained, so that readers interested in a particular subject can easily consult the sections they want. Specific topics covered include rings arising from matrices, differential operators, and Lie algebras. Contains extensive references.

Review

An abundance of well-organized material ... a must for those in the area. -- International Mathematical News

Self-contained, comprehensive ... The creation of this valuable resource is a service to mathematics ... --Mathematical Reviews

Edition details

• Publisher: American Mathematical Society
• Publication date: 2001
• Language: English
• ISBN 10: 0821821695
• ISBN 13: 9780821821695
• Binding: Hardcover
• Number of pages: 636