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arXiv · 2207.10599

Finiteness properties and homological dimensions of Skew Group rings

Viviana Gubitosi·Rafael Parra
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Abstract

Let $G$ be a finite group acting on a ring $R$ and $H$ a subgroup of $G$. In this paper we compare some homological dimensions over the skew group rings $RG$ and $RH$. Moreover, under the assumption that $RG$ is a separable extension over $RH$, we show that the skew group rings $RG$ and $RH$ share some properties such as being $n$-Gorenstein, $n$-perfect, $n$-coherent, $(n,d)$, Ding-Chen or IF-rings.

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Viviana Gubitosi, Rafael Parra. 2022-07-21. Finiteness properties and homological dimensions of Skew Group rings. https://arxiv.org/abs/2207.10599

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