Some Results on Weak Essential Submodules

Authors

Muna Abbas Ahmed, Department of Mathematics,College of Science for Women,University of Baghdad, Iraq-BaghdadFollow

Abstract

This paper explores the concept of weak essential submodules, introduced by Muna A. Ahmed. In this context, a submodule N of an R-module M is called weak essential if N ∩ P ≠ (0) for every nonzero semiprime submodule P of M. The paper reformulates this definition and introduces new definitions. Various properties of weak essential submodules are also discussed.

Keywords

Semiprime submodule, Essential submodules, Weak essential submodules, Weak uniform modules, Fully semi-semiprime modules and Fully essential* modules.

Article Type

Article

How to Cite this Article

Ahmed, Muna Abbas (2016) "Some Results on Weak Essential Submodules," Baghdad Science Journal: Vol. 13: Iss. 3, Article 21.
DOI: https://doi.org/10.21123/bsj.2016.13.3.0599