Strongly Primary Submodules

A.   Naoum; Inaam   Hadi

doi:10.24996/ijs.2005.46.1.%g

Strongly Primary Submodules

Authors

A. Naoum Department of Mathematics, College of Science, University of Baghdad. Baghdad-Iraq.
Inaam Hadi Department of Mathematics. Ibn-Alheitham Education College, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2005.46.1.%25g

Keywords:

Strongly, Submodules

Abstract

Let M be an R-module, where R is an integral domain with quotient field K .In this paper we introduce the concept of strongly primary submodule, where a submodule N of M is called strongly primary, it whenever r& K.xe M.rs EN Implies xeN or re(N:M) for some nez.. We study this concept and give some of its properties.