Fixed Rings of Finite Automorphism Groups of Associative Rings

Susan Montgomery (auth.)9780387102320, 0-387-10232-9

Table of contents :
Preliminaries….Pages 1-5
Rings with no |G|-torsion: Existence of fixed elements, the prime radical and Jacobson radical of R G ….Pages 6-18
Simple rings: Inner and outer automorphisms, simple fixed rings, R as an R G -module….Pages 19-37
Inner and outer automorphisms of semiprime rings….Pages 38-54
Rings with no nilpotent elements: Existence of fixed elements and traces….Pages 55-68
Chain conditions….Pages 69-88
Polynomial identities….Pages 89-106
Skew group rings and applications to modules….Pages 107-118