Fixed Rings of Finite Automorphism Groups of Associative Rings (Lecture Notes in Mathematics, 818)

Susan Montgomery. Includes Index. Bibliography: P. [119]-[123]. 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