NS-primary submodules

Abstract EN

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

We shall say that a proper submodule N of M is nearly S-primary (for short NS-primary), if whenever , , with implies that either or there exists a positive integer n, such that , where is the Jacobson radical of M.

In this paper we give some new results of NS-primary submodule.

Moreover some characterizations of these classes of submodules are obtained.