Partial actions and partial skew group rings

In this paper we consider partial actions of groups on algebras and partial skew group rings. After some general results we prove two versions of Maschke's theorem and then we study von Neumann regularity, the prime radical and the Jacobson radical of partial skew group rings. In this way we extend many results which are known for skew group rings. (c) 2007 Elsevier Inc. All rights reserved.