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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
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Volume 21 • Issue 4 • PP: 160-164 • 2023

On the Fuzzy Semi-Unital Rings and Their Algebraic Properties

Abuobida M. Ahmed Alfahal 1*
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,
Raja Abdullah Abdulfatah 2
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,
Lee Xu 3
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,
Yaser Ahmad Alhasan 1
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1Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
2Deanship the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
3University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.210416
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: April 19, 2023 Revised: June 28, 2023 Accepted: August 05, 2023
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Abstract

Fuzzy rings are considered as generalizations of classical rings, where they are defined by using the fuzzical membership function. This paper is dedicated to defining and study fuzzy semi-unital ring of order n in a similar way to the same classical type of rings, where many elementary properties will be discussed in terms of theorems with many related examples that clarify the validity of this work.

Keywords

Fuzzy Set Fuzzy ring Fuzzy ideal fuzzy semi-unital element.

References

[1] Abou-Zaid, S. (1993). "On fuzzy ideals and fuzzy quotient rings of a ring", Fuzzy Sets and Systems 59, (205-210).

[2] Dheena, P., and Counaressane, S. (2006). "Fuzzy 2-(0-OR 1-) Prime Ideals in Semirings", Bull.Korean Math.Soc.43,No.3,PP.559-573.

[3] Kandasamy, V. (2003). "Smarandache Fuzzy Algebra", American Research Press.

[4] Abobala, M., "On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021

[5] Kim, K. H. (2001). "On Fuzzy Points in Semigroups",IJMMS, 26, 11, PP.707-712.

[6] Kwang, H. L. (1985). "First Course on Fuzzy Theory and Applications", Springer, Berlin.

[7] Ray, A. D. (2009). "On Fuzzy Topological Ring Valued Fuzzy Continuous Functions", Applied Mathematical Sciences , Vol. 3, no. 24 , (1177-1188).

[8] Sherwood. (1983). "Product of Fuzzy Subgroups", Fuzzy Sets and Systems, 11,79-89.

[9] Wang, X. P., and Liu, W. J. (1993). "Fuzzy Regular Subsemigroups in Semigroups", Information Sciences, 68, 225-231.

[10] Wang, X. P, Mo. Z. W., and Liu, W. J. (1992). "Fuzzy Ideals Generated by Fuzzy Point in Semigroups", Sichuan Shifan Daxue Xuebao Ziran Kexue

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[11] Zadeh, L. A. (1965). "Fuzzy Sets",Inform. And Control, 8, 338-353.

[12] Abobala, M., "A Study Of Nil Ideals and Kothe's Conjecture In Neutrosophic Rings", International Journal of Mathematics and Mathematical Sciences, hindawi, 2021

[13] Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic Rings", Neutrosophic sets and systems, Vol. 45, 2021.

[14] Nader Mahmoud Taffach , Ahmed Hatip., "A Review on Symbolic 2-Plithogenic Algebraic Structures " Galoitica Journal Of Mathematical Structures and Applications, Vol.5, 2023.

[15] Ali, R., " On The Weak Fuzzy Complex Inner Products On Weak Fuzzy Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.

[16] Nader Mahmoud Taffach , Ahmed Hatip.," A Brief Review on The Symbolic 2-Plithogenic Number Theory and Algebraic Equations ", Galoitica Journal Of Mathematical Structures and Applications, Vol.5, 2023.

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Alfahal, Abuobida M. Ahmed, Abdulfatah, Raja Abdullah, Xu, Lee, Alhasan, Yaser Ahmad. "On the Fuzzy Semi-Unital Rings and Their Algebraic Properties." International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 4, 2023, pp. 160-164. DOI: https://doi.org/10.54216/IJNS.210416
Alfahal, A., Abdulfatah, R., Xu, L., Alhasan, Y. (2023). On the Fuzzy Semi-Unital Rings and Their Algebraic Properties. International Journal of Neutrosophic Science, Volume 21(Issue 4), 160-164. DOI: https://doi.org/10.54216/IJNS.210416
Alfahal, Abuobida M. Ahmed, Abdulfatah, Raja Abdullah, Xu, Lee, Alhasan, Yaser Ahmad. "On the Fuzzy Semi-Unital Rings and Their Algebraic Properties." International Journal of Neutrosophic Science Volume 21, no. Issue 4 (2023): 160-164. DOI: https://doi.org/10.54216/IJNS.210416
Alfahal, A., Abdulfatah, R., Xu, L., Alhasan, Y. (2023) 'On the Fuzzy Semi-Unital Rings and Their Algebraic Properties', International Journal of Neutrosophic Science, Volume 21(Issue 4), pp. 160-164. DOI: https://doi.org/10.54216/IJNS.210416
Alfahal A, Abdulfatah R, Xu L, Alhasan Y. On the Fuzzy Semi-Unital Rings and Their Algebraic Properties. International Journal of Neutrosophic Science. 2023;Volume 21(Issue 4):160-164. DOI: https://doi.org/10.54216/IJNS.210416
A. Alfahal, R. Abdulfatah, L. Xu, Y. Alhasan, "On the Fuzzy Semi-Unital Rings and Their Algebraic Properties," International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 4, pp. 160-164, 2023. DOI: https://doi.org/10.54216/IJNS.210416
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