Partial Actions and Partial Fixed Rings

Abstract

In this article, we consider a partial action α of a finite group G on a ring R which possesses an enveloping action. Properties of the fixed subring R α are studied. Among other results, under some assumptions, we describe the prime radical, the Jacobson radical, and the upper nil radical. We also study semisimplicity, von Newmann regularity, and Goldie conditions.