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

Review

..".a model of clear exposition. The introduction to each chapter is excellent and should be especially helpful to newcomers to the subject...This book is a superb introduction to the subject, and will prepare students for reading the literature and for research work in ring theory. Every ring theorist should own a copy of this book." Mathematical Reviews

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.

Edition details

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