论文标题
Prime groupoid级环,并应用于部分偏度群体环
Prime groupoid graded rings with applications to partial skew groupoid rings
论文作者
论文摘要
在本文中,我们研究了群体级别环的精确度。我们提供了一组必要和充分的条件,以使几乎epsilon强烈分组的环呈渐变。此外,我们采用主要结果来获得主要部分偏斜型环的表征,尤其是Prime Glopoid环,从而通过Connell概括了经典的结果,并将Steinberg的最新结果概述了。
In this paper, we investigate primeness of groupoid graded rings. We provide a set of necessary and sufficient conditions for primeness of a nearly-epsilon strongly groupoid graded ring. Furthermore, we apply our main result to get a characterization of prime partial skew groupoid rings, and in particular of prime groupoid rings, thereby generalizing a classical result by Connell and partially generalizing recent results by Steinberg.