S-Coprime Submodules

Abstract

In this paper, we introduce and study the concept of S-coprime submodules, where a proper submodule N of an R-module M is called S-coprime submodule if M N is S-coprime Rmodule. Many properties about this concept are investigated.

Keywords

• s-coprime submodules, coprime submodules, s-coprime modules and coprime modules.