An Introduction to Noncommutative Noetherian Rings
2nd Edition
$66.99 (P)
Part of London Mathematical Society Student Texts
- Authors:
- K. R. Goodearl, University of California, Santa Barbara
- R. B. Warfield, Jr
- Date Published: July 2004
- availability: Available
- format: Paperback
- isbn: 9780521545372
$
66.99
(P)
Paperback
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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.
Read more- Sketches of typical classes of application for motivation
- Extensive explanatory discussion
- Exercises integrated throughout the text
Reviews & endorsements
"Readers of the first edition will notice a number of changes in this edition, including a restrucuring of the topics, many more explicit examples, and an increased emphasis on quantum groups, a subject which has flourished in the decade that has passed since the first edition...This level of explicitness would make large parts of the book accessible even to an undergraduate who has only completed a first course in algebra, although the target audience is primarily at the graduate student level."
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×Product details
- Edition: 2nd Edition
- Date Published: July 2004
- format: Paperback
- isbn: 9780521545372
- length: 370 pages
- dimensions: 225 x 157 x 23 mm
- weight: 0.54kg
- contains: 375 exercises
- availability: Available
Table of Contents
1. A few Noetherian rings
2. Skew polynomial rings
3. Prime ideals
4. Semisimple modules, Artinian modules, and torsionfree modules
5. Injective hulls
6. Semisimple rings of fractions
7. Modules over semiprime Goldie rings
8. Bimodules and affiliated prime ideals
9. Fully bounded rings
10. Rings and modules of fractions
11. Artinian quotient rings
12. Links between prime ideals
13. The Artin-Rees property
14. Rings satisfying the second layer condition
15. Krull dimension
16. Numbers of generators of modules
17. Transcendental division algebras.
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