Fixed Rings of Finite Automorphism Groups of Associative Rings

Preliminaries.- Rings with no G-torsion: Existence of fixed elements, the prime radical and Jacobson radical of RG.- Simple rings: Inner and outer automorphisms, simple fixed rings, R as an RG-module.- Inner and outer automorphisms of semiprime rings.- Rings with no nilpotent elements: Existence of fixed elements and traces.- Chain conditions.- Polynomial identities.- Skew group rings and applications to modules.

List of contents

Preliminaries.- Rings with no |G|-torsion: Existence of fixed elements, the prime radical and Jacobson radical of RG.- Simple rings: Inner and outer automorphisms, simple fixed rings, R as an RG-module.- Inner and outer automorphisms of semiprime rings.- Rings with no nilpotent elements: Existence of fixed elements and traces.- Chain conditions.- Polynomial identities.- Skew group rings and applications to modules.

Product details

• Authors: S Montgomery, S. Montgomery
• Publisher: Springer, Berlin
• Languages: English, German
• Product format: Paperback / Softback
• Released: 29.06.2009
• EAN: 9783540102328
• ISBN: 978-3-540-10232-8
• No. of pages: 130
• Dimensions: 156 mm x 238 mm x 10 mm
• Weight: 238 g
• Illustrations: X, 130 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra