$\alpha$-SKEW ARMENDARIZ MODULES AND $\alpha$-SEMICOMMUTATIVE MODULES

Abstract

Let $\alpha$ be a ring endomorphism. We introduce $\alpha$-skew Armendariz modules and $\alpha$-semicommutative modules which are generalizations of Armendariz modules and semicommutative modules, respectively. And investigate their properties. Moreover, we study the relationship between a module and its polynomial module.