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Volume 3 , Issue 1 , PP: 07-12, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

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

Noor Edin Rabeh 1 *

  • 1 Baghdad University, College of Science, Baghdad, Iraq - (Edinnoori45@gmail.com)
  • Doi: https://doi.org/10.54216/NIF.030102

    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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    [3] Von Shtawzen, O., " On A Novel Group Derived From A Generalization Of Integer Exponents andOpen Problems", Galoitica journal Of Mathematical Structures and Applications, Vol 1, 2022.

    [4] Basheer, A., Ahmad, K., and Ali, R., " On Some Open Problems About n-Cyclic Refined Neutrosophic Rings and Number Theory", Journal Of Neutrosophic And Fuzzy Systems,, 2022.

    [5] A. Alrida Basheer , Katy D. Ahmad , Rozina Ali., "Examples on Some Novel Diophantine Equations Derived from the Group of Units Problem in n-Cyclic Refined Neutrosophic Rings of Integers", Galoitica Journal Of Mathematical Structures And Applications, Vol.3, 2022.

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    [10] Abobala, M., Sankari, H., & Zeina, M. (2024). On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory. Journal of Fuzzy Extension and Applications, 5(1), 69-85. doi: 10.22105/jfea.2024.423818.1321

    [11] Abobala, M., " n-Cyclic Refined Neutrosophic Algebraic Systems of Sub-Indeterminacies, An Application to Rings and Modules", International Journal of Neutrosophic Science, 2020.

    [12] Aswad, M., "n-Cyclic Refined Neutrosophic Vector Spaces and Matrices", Neutrosophic Knowledge, 2021.

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        [14] Rama Asad Nadweh, Rozina Ali, Maretta Sarkis, "On The Algebraic Properties of 2-Cyclic Refined Neutrosophic Matrices and The Diagonalization Problem", Neutrosophic Sets and Systems, Vol 54, 2023.

    Cite This Article As :
    Edin, Noor. On The Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices. Neutrosophic and Information Fusion, vol. , no. , 2024, pp. 07-12. DOI: https://doi.org/10.54216/NIF.030102
    Edin, N. (2024). On The Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices. Neutrosophic and Information Fusion, (), 07-12. DOI: https://doi.org/10.54216/NIF.030102
    Edin, Noor. On The Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices. Neutrosophic and Information Fusion , no. (2024): 07-12. DOI: https://doi.org/10.54216/NIF.030102
    Edin, N. (2024) . On The Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices. Neutrosophic and Information Fusion , () , 07-12 . DOI: https://doi.org/10.54216/NIF.030102
    Edin N. [2024]. On The Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices. Neutrosophic and Information Fusion. (): 07-12. DOI: https://doi.org/10.54216/NIF.030102
    Edin, N. "On The Algebraic Properties of the Multiplication Operation of 4-Cyclic Refined Neutrosophic Real Matrices," Neutrosophic and Information Fusion, vol. , no. , pp. 07-12, 2024. DOI: https://doi.org/10.54216/NIF.030102