On The Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2 ≤3

Abdallah Shihadeh; Khaled Ahmad Mohammad Matarneh; Raed Hatamleh; Mowafaq Omar Al-Qadri; Abdallah Al-Husban

On The Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2 ≤3

Authors

Abdallah Shihadeh Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, PO box 330127, Jordan
Khaled Ahmad Mohammad Matarneh Faculty of Computer Studies, Arab Open University (AOU), Riyadh, Kingdom of Saudi Arabia,
Raed Hatamleh Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan
Mowafaq Omar Al-Qadri Department of Mathematics, Jerash University, Jerash, Jordan,
Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan

Keywords:

two-fold algebra, 2-refined neutrosophic ring, 3-refined neutrosophic ring, nilpotent

Abstract

The objective of this paper is to study the two-fold fuzzy algebra based on n-refined
neutrosophic rings for some different special values of n, where we study some of
the special elements in the case of two-fold 2-refined neutrosophic ring and
3-refined neutrosophic rings such as units, idempotents, and nilpotent elements.
Also, we present the concept of two-fold ring homomorphism with its elementary
properties.

DOI: 10.5281/zenodo.11406449

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Published

2024-06-01

Issue

Vol. 68 (2024): Neutrosophic Sets and Systems

Section

Article

License

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

Creative Commons Attribution (CC BY) license.

How to Cite

Abdallah Shihadeh, Khaled Ahmad Mohammad Matarneh, Raed Hatamleh, Mowafaq Omar Al-Qadri, & Abdallah Al-Husban. (2024). On The Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2 ≤3. Neutrosophic Sets and Systems, 68(68), 8-25. https://fs.unm.edu/nss8/index.php/111/article/view/4501