Some Properties of the Essential Fuzzy and Closed Fuzzy Submodules

Hassan K. Marhon; Hatam Y. Khalaf

doi:10.24996/ijs.2020.61.4.22

Some Properties of the Essential Fuzzy and Closed Fuzzy Submodules

Authors

Hassan K. Marhon Ministry of Education, General Directorate for the Education of Baghdad of the first Rusafa
Hatam Y. Khalaf Department of Mathematics, College of Education for pure Science, Ibn-Al-Haitham , Baghdad University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.4.22

Keywords:

Fuzzy Module, Closed Fuzzy, essential fuzzy submodule

Abstract

In this paper, we introduce and study the essential and closed fuzzy submodules of a fuzzy module X as a generalization of the notions of essential and closed submodules. We prove many basic properties of both concepts.

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Additional Files

Published

2020-04-26

Issue

Vol 61 No 4 (2020)

Section

Mathematics

How to Cite

[1]

H. K. Marhon and H. Y. Khalaf, “Some Properties of the Essential Fuzzy and Closed Fuzzy Submodules”, Iraqi Journal of Science, vol. 61, no. 4, pp. 890–897, Apr. 2020, doi: 10.24996/ijs.2020.61.4.22.