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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: 01–06 • 2024

On The Algebraic Properties of 3-Cyclic Refined Neutrosophic Matrices with Real Entries

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 25, 2023 Accepted: January 03, 2024

Abstract

The objective of this paper is to study some of the elementary algebraic properties of 3-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

3-cyclic refined neutrosophic matrix Inverse Associative Indeterminacy

References

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[4] A. Basheer, K. Ahmad, and R. Ali, “On some open problems about n-cyclic refined neutrosophic rings and number theory,” Journal of Neutrosophic and Fuzzy Systems, 2022.

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[8] 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.

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[10] S. O. Jameel, A. M. Salih, R. A. Jaleel, and M. M. A. Abdul Zahra, “On the neutrosophic formula of some matrix equations derived from data mining theory and control systems,” International Journal of Neutrosophic Science, vol. 19, no. 1, pp. 267–271, 2022.

[11] M. Abobala, “n-cyclic refined neutrosophic algebraic systems of sub-indeterminacies, an application to rings and modules,” International Journal of Neutrosophic Science, 2020.

[12] M. Aswad, “n-cyclic refined neutrosophic vector spaces and matrices,” Neutrosophic Knowledge, 2021.

[13] R. Ali, “n-cyclic refined neutrosophic groups,” Interna-tional Journal of Neutrosophic Science, 2021.

[14] M. Abobala, M. B. Ziena, R. I. Doewes, and Z. Hussein, “The representation of refined neutrosophic matrices by refined neutrosophic linear functions,” International Journal of Neutrosophic Science, vol. 19, no. 1, pp. 342–349, 2022.

Cite This Article

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format_quote
Rabeh, Noor Edin. "On The Algebraic Properties of 3-Cyclic Refined Neutrosophic Matrices with Real Entries." Neutrosophic and Information Fusion, vol. 3, no. 1, 2024, pp. 01–06. DOI: https://doi.org/10.54216/NIF.030101
Rabeh, N. (2024). On The Algebraic Properties of 3-Cyclic Refined Neutrosophic Matrices with Real Entries. Neutrosophic and Information Fusion, Volume 3(Issue 1), 01–06. DOI: https://doi.org/10.54216/NIF.030101
Rabeh, Noor Edin. "On The Algebraic Properties of 3-Cyclic Refined Neutrosophic Matrices with Real Entries." Neutrosophic and Information Fusion Volume 3, no. Issue 1 (2024): 01–06. DOI: https://doi.org/10.54216/NIF.030101
Rabeh, N. (2024) 'On The Algebraic Properties of 3-Cyclic Refined Neutrosophic Matrices with Real Entries', Neutrosophic and Information Fusion, Volume 3(Issue 1), pp. 01–06. DOI: https://doi.org/10.54216/NIF.030101
Rabeh N. On The Algebraic Properties of 3-Cyclic Refined Neutrosophic Matrices with Real Entries. Neutrosophic and Information Fusion. 2024;Volume 3(Issue 1):01–06. DOI: https://doi.org/10.54216/NIF.030101
N. Rabeh, "On The Algebraic Properties of 3-Cyclic Refined Neutrosophic Matrices with Real Entries," Neutrosophic and Information Fusion, vol. Volume 3, no. Issue 1, pp. 01–06, 2024. DOI: https://doi.org/10.54216/NIF.030101
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