Ebook: Fixed Rings of Finite Automorphism Groups of Associative Rings
Author: Susan Montgomery (auth.)
- Tags: Group Theory and Generalizations
- Series: Lecture Notes in Mathematics 818
- Year: 1980
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
Content:
Front Matter....Pages -
Preliminaries....Pages 1-5
Rings with no |G|-torsion: Existence of fixed elements, the prime radical and Jacobson radical of RG ....Pages 6-18
Simple rings: Inner and outer automorphisms, simple fixed rings, R as an RG-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
Back Matter....Pages -
Content:
Front Matter....Pages -
Preliminaries....Pages 1-5
Rings with no |G|-torsion: Existence of fixed elements, the prime radical and Jacobson radical of RG ....Pages 6-18
Simple rings: Inner and outer automorphisms, simple fixed rings, R as an RG-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
Back Matter....Pages -
....
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