NS-Primary Submodules

Abstract

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 N S-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 N S-primary submodule. Moreover some characterizations of these classes of submodules are obtained.