On semi-essential submodules

الملخص EN

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

The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of semi-essential submodules which introduced by Ali S.

Mijbass and Nada K.

Abdullah, and we make simple changes to the definition relate with the zero submodule, so we say that a submodule N of an R-module M is called semi-essential, if whenever N ∩ P = (0), then P = (0) for each prime submodule P of M.

Various properties of semi-essential submodules are considered.