S-nearly Semiprime Submodules and Some Related Concept

Let R be a commutative ring with unity and N be a submodule of anon zero left R-moduleM, N is called S-nearly semiprime submodule if whenever f^2 (m) N, for some fEnd (M) and mM, then f (m) N, we mean f^2 is ff. We will give many results of this type of submodules. In this search, we introduce and study the concepts of S-nearly semiprime submodules and some other related notions. We will study the relationship between the properties of S-nearly semiprime submodules and classes of the other module