SS-Coprime Modules

Abstract

Let R be a commutative ring with unity and M is a unitary left R-module . In this paper , we introduce the notion of strongly S-coprime modules, where M is called strongly S-coprime briefly (SS-Coprime) if for each r R , r²M is small in M implies rM=0 . We investigate many properties about this concept. Moreover many relations between it and other related concepts, are given.