Weakly nearly semiprime submodules and some related concepts

Abstract EN

In present paper the concept of WN-semiprime submodule of unitary left R-module over a commutative ring with identity are introduced and studied, as a generalization of weakly semiprime submodules.

Numerous basic properties of this concept are investigate.

Where a proper submodule A of an R-module is said to be WN-semiprime, if whenever , for , implies that .

Furthermore many characterizations of WN-semiprime submodule are introduced.

Moreover, some properties of WN-semiprime submodules in some classes of modules are given.