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arXiv · 1306.4643

Maximal commutative subrings and simplicity of partial skew group rings

Johan Öinert
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Abstract

In this article, we show that for a partial skew group ring R*G, where R is a commutative ring, each non-zero ideal of R*G intersects R non-trivially if and only if R is a maximal commutative subring of R*G. As a consequence, we obtain necessary and sufficient conditions for simplicity; the partial skew group ring R*G is simple if and only if R is a G-simple and maximal commutative subring of R*G. We thereby generalize our previous results for skew group rings, to partial skew group rings which are not necessarily unital.

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Johan Öinert. 2013-06-19. Maximal commutative subrings and simplicity of partial skew group rings. https://arxiv.org/abs/1306.4643

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