WE-prime submodules and WE-semi-prime submodules

الملخص EN

In this article, "we introduce the concept of a WE-Prime submodule", as a stronger form of a weakly prime submodule.

And as a "generalization of WE-Prime submodule, we introduce the concept of WE-Semi-Prime submodule, which is also a stronger form of a weakly semi-prime submodule.

Various basic properties of these two concepts are discussed.

Furthermore, the relationships between "WE-Prime submodules and weakly prime submodules"and studied.

On the other hand, the relation between WE-Prime submodules and WE- Semi - Prime submodules are consider."Also"the relation of "WE – Sime - Prime submodules and weakly semi-prime submodules" are explained.

Behind that, some characterizations of these concepts are investigated".