On \alpha-skew McCoy modules

Authors: JIAN CUI, JIANLONG CHEN

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

Keywords: \alpha-skew McCoy module; \alpha-skew Armendariz module; \alpha-skew McCoy ring; polynomial module; zip module

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