论文标题
偏斜组环的有限属性和同源维度
Finiteness properties and homological dimensions of Skew Group rings
论文作者
论文摘要
让$ g $是在$ r $和$ h $ $ g $的$ r $上作用的有限群体。在本文中，我们比较了偏斜式戒指$ rg $和$ rh $的一些同源维度。 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.
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.
