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Skew group rings and maximal orders

Published online by Cambridge University Press:  18 May 2009

R. Martin
R. Martin
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW
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Let S be a prime Noetherian ring and G a finite group acting on 5 such that Gis x-outer on S. We give sufficient conditions for the skew group ring S * Gto be a prime maximal order. If we impose the further hypothesis that the order of Gbe a unit of S, then these conditions are also necessary. Moreover, if S is a commutative Noetherian domain, then there are necessary and sufficient conditions for S*Gto be a prime maximal order, without requiring that the order of G be a unit in S.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 37 , Issue 2 , May 1995 , pp. 249 - 263
Copyright
Copyright © Glasgow Mathematical Journal Trust 1995

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