Some Results On S-pure Submodules

Abstract

Let R be a commutative ring with identity, S a multiplicatively closed subset of R, and

M be an R-module. The goal of this work is to stuy some properties of S-pure

submodules and introduce the notion of S-pure submodules relative to submodules of

M as a generalization of S-pure submodules of M and prove a number of results

concerning of this class of modules.