On α-skew McCoy modules

Abstract

Let α be a ring endomorphism. Extending the notions of McCoy modules and α-skew McCoy rings, we introduce the notion of α-skew McCoy modules, which can also be regarded as a generalization of α-skew Armendariz modules. A number of illustrative examples are given. Various properties of these modules are developed, and equivalent conditions for α-skew McCoy modules are established. Furthermore, we study the relationship between a module and its polynomial module.