On (\sigma,\delta)-skew McCoy modules

Let (\sigma,\delta) be a quasi derivation of a ring R and M_R a right R-module. In this paper, we introduce the notion of (\sigma,\delta)-skew McCoy modules which extends the notion of McCoy modules and \sigma-skew McCoy modules. This concept can be regarded also as a generalization of (\sigma,\delta)-skew Armendariz modules. We study some connections between reduced modules, semicommutative modules, (\sigma,\delta)-compatible modules and (\sigma,\delta)-skew McCoy modules. Furthermore, we will give some results showing that the property of being an (\sigma,\delta)-skew McCoy module transfers well from a module M_R to its skew triangular matrix extensions and vice versa.

Keywords:

McCoy module , skew McCoy module , semicommutative module , Armendariz module , reduced module