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Fixed Rings of Finite Automorphism Groups of Associative Rings

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Author(s): Susan Montgomery (auth.)
Series: Lecture Notes in Mathematics 818
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1980

Language: English
Pages: 130
City: Berlin; New York
Tags: Group Theory and Generalizations

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