On Neutrosophic Multiplication Module

Authors

  • Majid Mohammed Abed 3 Department of Mathematics, Faculty of Education For Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq
  • Nasruddin Hassan School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Malaysia
  • Faisal Al-Sharqi Department of Mathematics, Faculty of Education For Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq

Keywords:

Cyclic module, multiplication module, neutrosophic sets, neutrosophic submodule;, neutrosophic multiplication module

Abstract

In this article, we investigate some new results of Neutrosophic multiplication module E (shortly Ne(E)). We additionally introduce some light points about some concepts in which have relationship with Neutrosophic multiplication module. We prove that if E is Neutrosophic Artinian multiplication module and Neutrosophic Jacobson radical of E is a Neutrosophic small submodule of Ne(E), then Ne(E) is a Neutrosophic cyclic module. Finally, we show that if E is a Neutrosophic divisible module over Neutrosophic integral domain, then E is a Neutrosophic multiplication module if and only if E is a Neutrosophic cyclic module.

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Published

2022-04-01

Issue

Vol. 49 (2022): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Mohammed Abed, M. ., Hassan, N. ., & Al-Sharqi, F. . (2022). On Neutrosophic Multiplication Module. Neutrosophic Sets and Systems, 49, 198-208. https://fs.unm.edu/nss8/index.php/111/article/view/2478