Coprime submodules

الملخص EN

Let R be a commutative ring with unity and let M be a unitary R-module.

Let N be a proper sub module of M, N is called a coprime sub module if M/(N ) is a coprime R-module, where M/(N ) is a coprime R-module if for any r ϵ R, either r M/(N )=O M/N or .

r M/(N )= M/(N ).

In this paper we study coprime sub modules and give many properties related with this concept..