Infinite Crossed Products,9780486497402

Infinite Crossed Products

by
Edition: Reprint
ISBN13: 9780486497402
ISBN10: 0486497402
Format: Paperback
Pub. Date: 2013-06-19
Publisher(s): Dover Publications
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Summary

This groundbreaking monograph in advanced algebra addresses crossed products. Author Donald S. Passman notes that crossed products have advanced from their first occurrence in finite dimensional division algebras and central simple algebras to a closer relationship with the study of infinite group algebras, group-graded rings, and the Galois theory of noncommutative rings.
Suitable for advanced undergraduates and graduate students of mathematics, the text examines crossed products and group-graded rings, delta methods and semiprime rings, the symmetric ring of quotients, and prime ideals, both in terms of finite and Noetherian cases. Additional topics include group actions and fixed rings, group actions and Galois theory, Grothendieck groups and induced modules, and zero divisors and idempotents.

Table of Contents

Preface
1. Crossed Products and Group-Graded Rings
2. Delta Methods and Semiprime Rings
3. The Symmetric Ring of Quotients
4. Prime Ideals--The Finite Case
5. Prime Ideals--The Noetherian Case
6. Group Actions and Fixed Rings
7. Group Actions and Galois Theory
8. Grothendieck Groups and Induced Modules
9. Zero Divisors and Idempotents
References
Index
 

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