On α-skew McCoy ideals related to a monoid

Abstract

Abstract Let α be an endomorphism of an arbitrary ring with identity. The aim of this article is to introduce the ideal of as an α-skew M-McCoy which is a generalization of α-rigid ideals and McCoy ideals and to investigate its properties. α-skew M-McCoy is an α-skew McCoy ideals relative to a monoid . The findings show that if for some positive integer and be an α-skew M-McCoy left ideal of then is α-skew M-McCoy left ideal of . Also if be a locally finite ring and be an α-skew M-McCoy left ideal of , then is α-semicommutative left ideal of .