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A note on the fixed subring of an FPF ring

Published online by Cambridge University Press:  17 April 2009

John Clark
John Clark
Affiliation:
Department of Mathematics and StatisticsUniversity of OtagoDunedinNew Zealand
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Abstract

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An associative ring R with identity is called a left (right) FPF ring if given any finitely generated faithful left (right) R-module A and any left (right) R-module M then M is the epimorphic image of a direct sum of copies of A. Faith and Page have asked if the subring of elements fixed by a finite group of automorphisms of an FPF ring need also be FPF. Here we present examples showing the answer to be negative in general.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 1 , August 1989 , pp. 109 - 111
Copyright
Copyright © Australian Mathematical Society 1989

References

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