Jian Cui and Jianlong Chen Southeast University, Southeast University
Abstract : Extending the notion of McCoy rings, we introduce the class of McCoy modules. Over a given ring $R$, it contains the class of Armendariz modules (over $R$). Some properties of this class of modules are established, and equivalent conditions for McCoy modules are given. Moreover, we study the relationship between a module and its polynomial module. Several known results relating to McCoy rings can be obtained as corollaries of our results.
Keywords : McCoy module, McCoy ring, polynomial module, zip module