Infinite Crossed Products - Brossura

Passman, Donald S.

Brossura

ISBN 10: 0486497402 ISBN 13: 9780486497402

Casa editrice: Dover Pubns, 2013

Riassunto

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.

Su questo libro

Product Description:

This groundbreaking monograph in advanced algebra is suitable for advanced undergraduates and graduate students. Topics include crossed products and group-graded rings, delta methods and semiprime rings, the symmetric ring of quotients, prime ideals, group actions and fixed rings, group actions and Galois theory, Grothendieck groups and induced modules, and zero divisors and idempotents. 1989 edition.

Contenuti:

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

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2013
• ISBN 10: 0486497402
• ISBN 13: 9780486497402
• Rilegatura: Paperback
• Numero di pagine: 468