An Introduction to Noncommutative Noetherian Rings (London Mathematical Society Student Texts, Series Number 16) - Hardcover

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

Hardcover

ISBN 10: 0521360862 ISBN 13: 9780521360869

Publisher: Cambridge University Press, 1989

Synopsis

This introduction to noncommutative Noetherian rings is intended to be accessible to anyone with a basic background in algebra. It can be used as a first-year graduate text, or as a self-contained reference. The authors' pedagogic style, with much explanatory discussion and exercises integrated into the development, will be a valuable aid in this respect. The standard techniques in the area (rings of fractions, bimodules, Krull dimension, linked prime ideals) are introduced and applied to a variety of problems. A recurring emphasis is placed on prime ideals and injective modules.

About this title

Book Description

This introduction is intended to be accessible to anyone with a basic background in algebra and can be used as a first-year graduate text, or a self-contained reference. The standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals) are introduced and applied to a variety of problems.

About the Author

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1989
• Language: English
• ISBN 10: 0521360862
• ISBN 13: 9780521360869
• Binding: Hardcover
• Number of pages: 326