H-essential Submodules and Homessential Modules

Authors

  • Muna Abbas Ahmed Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq
  • Tamadher Arif Ibrahiem Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.6.22

Keywords:

Essential submodules, H-essential submodules, Homessential modules

Abstract

The main goal of this paper is introducing and studying a new concept, which is named H-essential submodules, and we use it to construct another concept called Homessential modules. Several fundamental properties of these concepts are investigated, and other characterizations for each one of them is given. Moreover, many relationships of Homessential modules with other related concepts are studied such as Quasi-Dedekind, Uniform, Prime and Extending modules.

Downloads

Download data is not yet available.

Downloads

Published

2019-06-26

Issue

Section

Mathematics

How to Cite

H-essential Submodules and Homessential Modules. (2019). Iraqi Journal of Science, 60(6), 1381-1386. https://doi.org/10.24996/ijs.2019.60.6.22