University of Guilan Journal of Algebra and Related Topics 2345-3931 8 2 2020 12 01 On $(\sigma,\delta)$-skew McCoy modules 23 37 4340 10.22124/jart.2020.11937.1132 EN M. Louzari Department of mathematics, Faculty of Sciences, Abdelmalek Essaadi University, Tetouan, Morocco. L. Ben Yakoub Department of Mathematics, University Abdelmalek Essaadi, Tetouan, Morocco. Journal Article 2018 12 10 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. https://jart.guilan.ac.ir/article_4340_0d667fe68d704915ddc269242b0613f5.pdf