J Austral Math Soc Ser A 58 pp167--182, 1995.

Regulaer Skew Group Rings

Ricardo Alfaro, Pere Ara and Angel Del Rio

(Received 1 February 1992; revised 6 May 1992)

Abstract

Let G be a groups acting on a ring R. We study the problem of determining necessary and sufficient conditions in order that the skew group ring RG be a von Neumann regular. Complete characterizations are given in some particular situations, including the case where all idempotents of R are central. For a regular ring R admitting a G-variant pseudo-rank function N, with G finite, we obtain a necessary condition for RG being a regular in terms of hte induced action of G on the N-completion of R.

1991 AMS Subject Classification: primary 16S35; secondary 23B45

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Authors

Ricardo Alfaro: Department of Mathematics, University of Michigan-Flint, Flint, MI 48502, U.S.A.
Pere Ara: Departament de Matematiques, Universitat Autonoma de Barcelona, (08193) Bellaterra (Barcelona), Spain.
Angel Del Rio: Departamento de Matematicas, Universidad de Murica, (30001) Murica, Spain.

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