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Twisted group rings which are semi-prime Goldie rings

Published online by Cambridge University Press:  18 May 2009

A. Reid
A. Reid
Affiliation:
Mathematics Department, University of Aberdeen, Aberdeen AB9 2UB
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In this paper we examine when a twisted group ring, Rγ(G), has a semi-simple, artinian quotient ring. In §1 we assemble results and definitions concerning quotient rings, Ore sets and Goldie rings and then, in §2, we define Rγ(G). We prove a useful theorem for constructing a twisted group ring of a factor group and establish an analogue of a theorem of Passman. Twisted polynomial rings are discussed in §3 and I am indebted to the referee for informing me of the existence of [4]. These are used as a tool in proving results in §4.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 16 , Issue 1 , March 1975 , pp. 1 - 11
Copyright
Copyright © Glasgow Mathematical Journal Trust 1975

References

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