Simple regular skew group rings

Details Simple regular skew group rings Simple regular skew group rings

2003-03-19

arxiv.org/abs/math/0303229v1

Mathematics

Rings and Algebras

14 pages, submitted to the Journal of Algebra and Its Applications

Scientific paper

Given a group G acting on a ring R, one can construct the skew group ring R*G. Skew group rings have been studied in depth, but necessary and sufficient conditions for the simplicity of a general skew group ring are not known. In this paper, such conditions are given for certain types of skew group rings, with an emphasis on Von Neumann regular skew group rings. Next the results of the first section are used to construct a class of simple skew group rings. In particular, we obtain more efficient proofs of the simplicity of certain rings constructed by H. Kambara and J. Trlifaj.

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