An Introduction to Noncommutative Noetherian Rings

London Mathematical Society Student Texts

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

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 to help tie the material together.

370 pages, Hardcover

First published August 1, 1989

About the author

Kenneth R. Goodearl