Partial Skew Polynomial Rings: Prime and Maximal Ideals

Abstract

In this article, we consider rings R with a partial action α of a cyclic infinite group G on R. We define partial skew polynomial rings as natural subrings of the partial skew group ring R ⋆α G. We study prime and maximal ideals of a partial skew polynomial ring when the given partial action α has an enveloping action.