Donald S. Passman

Infinite Crossed Products (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 480
• Erscheinungstermin: 24. Juli 2013
• Englisch
• ISBN-13: 9780486315942
• Artikelnr.: 39073665

Autorenporträt

Donald S. Passman is the Richard Brauer Professor of Mathematics at the University of Wisconsin-Madison. He is the author of Dover's Algebraic Structure of Group Rings and Permutation Groups.

Inhaltsangabe

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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