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Neutrosophic and Information Fusion

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Neutrosophic and Information Fusion
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Volume 3 • Issue 1 • PP: 07–11 • 2024

On the Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices

Noor Edin Rabeh 1*
1Baghdad University, College of Science, Baghdad, Iraq
* Corresponding Author.
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© 2024 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 27, 2023 Accepted: January 05, 2024

Abstract

The objective of this paper is to study some of the elementary algebraic properties of 4-cyclic refined neutrosophic matrices with real entries, where we study the algebraic structure of the multiplication operation and its properties such as associativity, commutativity, and the existence of algebraic multiplication inverse. Also, we illustrate many examples that explain the validity of our work.

Keywords

4-cyclic refined neutrosophic matrix eigenvalue eigenvector 4-cyclic refined neutrosophic ring

References

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[5] A. A. Basheer, K. D. Ahmad, and R. Ali, “Examples on Some Novel Diophantine Equations Derived from the Group of Units Problem in n-Cyclic Refined Neu-trosophic Rings of Integers,” Galoitica Journal of Math-ematical Structures and Applications, vol. 3, 2022.

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[7] A. Salama, R. Dalla, M. Al Aswad, and R. Ali, “Some Results About 2-Cyclic Refined Neutrosophic Complex Numbers,” Journal of Neutrosophic and Fuzzy Systems, vol. 4, no. 1, pp. 41–48, 2022.

[8] M. Abobala, M. B. Ziena, R. I. Doewes, and Z. Hussein, “The Representation of Refined Neutrosophic Matrices by Refined Neutrosophic Linear Functions,” Interna-tional Journal of Neutrosophic Science, vol. 19, no. 1, pp. 342–349, 2022.

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[10] M. Abobala, M. Bal, and M. Aswad, “A Short Note on Some Novel Applications of Semi-Module Homomor-phisms,” International Journal of Neutrosophic Science, vol. 18, no. 1, pp. 8–13, 2022.

[11] M. Abobala, “n-Cyclic Refined Neutrosophic Algebraic Systems of Sub-Indeterminacies: An Application to Rings and Modules,” International Journal of Neutro-sophic Science, vol. 12, pp. 81–95, 2020.

[12] M. F. Aswad, “n-Cyclic Refined Neutrosophic Vector Spaces and Matrices,” Neutrosophic Knowledge, vol. 3, pp. 6–13, 2021.

[13] R. Ali, “n-Cyclic Refined Neutrosophic Groups,” Inter-national Journal of Neutrosophic Science, 2021.

[14] M. Abobala, M. Bal, and A. Hatip, “A Study of SomeNeutrosophic Clean Rings,” International Journal of Neutrosophic Science, vol. 18, no. 1, pp. 14–19, 2022.

Cite This Article

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format_quote
Rabeh, Noor Edin. "On the Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices." Neutrosophic and Information Fusion, vol. 3, no. 1, 2024, pp. 07–11. DOI: https://doi.org/10.54216/NIF.030102
Rabeh, N. (2024). On the Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices. Neutrosophic and Information Fusion, Volume 3(Issue 1), 07–11. DOI: https://doi.org/10.54216/NIF.030102
Rabeh, Noor Edin. "On the Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices." Neutrosophic and Information Fusion Volume 3, no. Issue 1 (2024): 07–11. DOI: https://doi.org/10.54216/NIF.030102
Rabeh, N. (2024) 'On the Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices', Neutrosophic and Information Fusion, Volume 3(Issue 1), pp. 07–11. DOI: https://doi.org/10.54216/NIF.030102
Rabeh N. On the Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices. Neutrosophic and Information Fusion. 2024;Volume 3(Issue 1):07–11. DOI: https://doi.org/10.54216/NIF.030102
N. Rabeh, "On the Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices," Neutrosophic and Information Fusion, vol. Volume 3, no. Issue 1, pp. 07–11, 2024. DOI: https://doi.org/10.54216/NIF.030102
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