On strongly prime submodules

الملخص EN

Let R be an integral domain with quotient field K.

A prime ideal P of R is called a strongly prime ideal of R if for each x, y ∈ K, x y ∈ P implies x ∈ P or y ∈ P.

In this paper, we generalize this concept to submodules, thus we define strongly prime submodules and give some of their properties.