An Introduction to Noncommutative Noetherian Rings

K. R. Goodearl, R. B. Warfield, Jr

ISBN 10: 0521545374 / ISBN 13: 9780521545372

Published by Cambridge University Press, GB, 2004

About this Item

This 2004 introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. Various important settings, such as group algebras, Lie algebras, and quantum groups, are sketched at the outset to describe typical problems and provide motivation. The text then develops and illustrates the standard ingredients of the theory: e.g., skew polynomial rings, rings of fractions, bimodules, Krull dimension, linked prime ideals. Recurring emphasis is placed on prime ideals, which play a central role in applications to representation theory. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. Material includes the basic types of quantum groups, which then serve as test cases for the theory developed.

Seller Inventory # LU-9780521545372

Bibliographic Details

• Title: An Introduction to Noncommutative Noetherian Rings
• Publisher: Cambridge University Press, GB
• Publication Date: 2004
• Language: English
• ISBN 10: 0521545374
• ISBN 13: 9780521545372
• Binding: Paperback
• Edition: 2nd Edition
• Condition: New
• Weight: 540 grams

About this title

Synopsis

This introduction to noncommutative noetherian rings, accessible to anyone with a basic background in abstract algebra, can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory material is given, and exercises are integrated throughout. New material includes the basic types of quantum groups.

About the Authors

K. R. Goodearl received his Ph.D. in 1971 from the University of Washington. Following an instructorship at the University of Chicago, he spent 19 years at the University of Utah. Since 1991, he has been a professor of mathematics at the University of California at Santa Barbara.

R. B. Warfield Jr. received his Ph.D. in 1967 from Harvard University. Following a postdoctoral year at New Mexico State University, he joined the mathematics department of the University of Washington, where he was a professor until his death in 1989.