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.