Infinite Crossed Products
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.
1000721897
Infinite Crossed Products
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.
18.99 In Stock
Infinite Crossed Products

Infinite Crossed Products

by Donald S. Passman
Infinite Crossed Products

Infinite Crossed Products

by Donald S. Passman

eBook

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Overview

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.

Product Details

ISBN-13: 9780486315942
Publisher: Dover Publications
Publication date: 06/26/2013
Series: Dover Books on Mathematics
Sold by: Barnes & Noble
Format: eBook
Pages: 480
File size: 20 MB
Note: This product may take a few minutes to download.

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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