On (σ,δ)-skew McCoy modules

Let (σ,δ) be a quasi derivation of a ring r and mr a right r-module. in this paper, we introduce the notion of (σ,δ)-skew mccoy modules which extends the notion of mccoy modules and σ-skew mccoy modules. this concept can be regarded also as a generalization of (σ,δ)-skew armendariz modules. we study some connections between reduced modules, semicommutative modules, (σ,δ)-compatible modules and (σ,δ)-skew mccoy modules. furthermore, we will give some results showing that the property of being an (σ,δ)-skew mccoy module transfers well from a module mr to its skew triangular matrix extensions and vice versa.