Infinite Crossed Products

Name: Infinite Crossed Products
Price: 20.04 USD
Availability: InStock
ISBN: 9780486497402

ISBN-10: 0486497402

ISBN-13: 9780486497402

Edition: N/A

Authors: Donald S. Passman

List price: $33.75

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Description:

This groundbreaking monograph in advanced algebra addresses crossed products, which involve group and ring theory. According to the author's Preface,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. 1989 edition.

Book details

List price: $33.75
Publisher: Dover Publications, Incorporated
Publication date: 6/19/2013
Binding: Paperback
Pages: 480
Size: 6.00" wide x 8.75" long x 1.00" tall
Weight: 1.298
Language: English

Don Passman is a cum laude graduate of Harvard Law School and lives in Los Angeles, California.



Preface



Crossed Products and Group-Graded Rings



Crossed Products



Group-Graded Pangs and Duality



Induced Modules



Maschke's Theorem



Delta Methods and Semiprime Rings



Delta Methods



Coset Calculus



Minimal Forms



Sufficient Conditions



Polynomial Identities



The Symmetric Ring of Quotients



The Martindale Ring of Quotients



Separated Groups



X-Inner Automorphisms



Free Rings



Prime Ideals - The Finite Case



G-Prime Coefficients



Prime Coefficients



Finite Groups and Incomparability



Primeness and Sylow Subgroups



Semiprimeness and Sylow Subgroups



Prime Ideals - The Noetherian Case



Orbitally Sound Groups



Polycyclic Group Algebras



Polycyclic Crossed Products



Jacobson Rings



P. I. Algebras



Group Actions and Fixed Rings



Fixed Points and Traces



Integrality



Finiteness Conditions



Rings With No Nilpotent Elements



Prime Ideals and Fixed Rings



Group Actions and Galois Theory



Traces and Truncation



The Galois Correspondence



Almost Normal Subgroups



Free Rings and Subrings



Grothendieck Groups and Induced Modules



Grothendieck Groups



Graded Rings



Group Extensions



The Induction Theorem



Zero Divisors and Idempotents



Zero Divisors and Goldie Rank



The Zalesskii-Neroslavskii Example



Almost Injective Modules



Stably Free Modules


References


Index