The Neutrosophic Regular and Most Important Properties that Bind Neutrosophic Ring Elements

Authors

  • Murhaf Riad Alabdullah Faculty of Science, Department of Mathematics, Aleppo University in liberated areas, Syria

Keywords:

Neutrosophic ring, Neutrosophic field, Neutrosophic regular, strongly regular, unit, simple nilpotent, zero divisor

Abstract

This research has broadened the definition of the neutrosophic regular in neutrosophic rings, similar to what is known in classical rings. We have studied the properties of neutrosophic regular elements and the most important properties that link them to the neutrosophic (zero divisor, idempotent, unit and nilpotent) elements in neutrosophic rings, and we reached several important
results linking these elements to each other, as some of them are different from what is known in classical rings. The most important of which are: If

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Published

2024-02-11

Issue

Vol. 61 (2023): Neutrosophic Sets and Systems

Section

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

License

Copyright (c) 2023 Neutrosophic Sets and Systems

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

Murhaf Riad Alabdullah. (2024). The Neutrosophic Regular and Most Important Properties that Bind Neutrosophic Ring Elements. Neutrosophic Sets and Systems, 61, 1-10. https://fs.unm.edu/nss8/index.php/111/article/view/3772