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Title

On The Algebraic Properties of Symbolic n-Plithogenic Matrices For n=5, n=6

  Ahmed Hatip 1 *

1  Department Of Mathematics, Gaziantep University, Gaziantep
    (kollnaar5@gmail.com)


Doi   :   https://doi.org/10.54216/GJMSA.070101

Received: February 01, 2022 Revised: June 02, 2023 Accepted: August 03, 2023

Abstract :

The main goal of this paper is to study the properties of symbolic 5-plithogenic matrices and symbolic 6-plithogenic matrices with real entries, where an algebraic view of their properties and relations will be presented and discussed. Also, we present many theorems that concern the computing of their eigenvalues and eigenvectors and their connection with classical ordinary matrices. Many related examples will be provided to clarify the validity of our work.

Keywords :

symbolic 5-plithogenic matrix; symbolic 6-plithogenic matrix; symbolic plithogenic eigenvalue; symbolic plithogenic eigenvector.

References :

[1] Abobala, M., Hatip, A., and Bal, M., " A Review On Recent Advantages In Algebraic Theory Of Neutrosophic Matrices", International Journal of Neutrosophic Science, Vol.17, 2021.

[2] Abobala, M. On Refined Neutrosophic Matrices and Their Applications in Refined Neutrosophic Algebraic Equations. J. Math. 2021, 2021, 5531093.

[3] Merkepci, M., and Abobala, M., " On Some Novel Results About Split-Complex Numbers, The Diagonalization Problem And Applications To Public Key Asymmetric Cryptography", Journal of Mathematics, Hindawi, 2023.

[4] Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

[5] Olgun, N., Hatip, A., Bal, M., and Abobala, M., " A Novel Approach To Necessary and Sufficient Conditions For The Diagonalization of Refined Neutrosophic Matrices", International Journal of neutrosophic Science, Vol. 16, pp. 72-79, 2021.

[6] Abobala, M., Ziena, B,M., Doewes, R., and Hussein, Z., "The Representation Of Refined Neutrosophic Matrices By Refined Neutrosophic Linear Functions", International Journal Of Neutrosophic Science, 2022.

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[8] Taffach, N., and Ben Othman, K., " An Introduction to Symbolic 2-Plithogenic Modules Over Symbolic 2-Plithogenic Rings", Neutrosophic Sets and Systems, Vol 54, 2023.

[9] Taffach, N., " An Introduction to Symbolic 2-Plithogenic Vector Spaces Generated from The Fusion of Symbolic Plithogenic Sets and Vector Spaces", Neutrosophic Sets and Systems, Vol 54, 2023.

[10] Ali, R., and Hasan, Z., "An Introduction To The Symbolic 3-Plithogenic Vector Spaces", Galoitica Journal Of Mathematical Structures and Applications, vol. 6, 2023.

[11] Ben Othman, K., "On Some Algorithms For Solving Symbolic 3-Plithogenic Equations", Neoma Journal Of Mathematics and Computer Science, 2023.

[12] Merkepci, H., and Rawashdeh, A., " On The Symbolic 2-Plithogenic Number Theory and Integers ", Neutrosophic Sets and Systems, Vol 54, 2023.

[13] Rawashdeh, A., "An Introduction To The Symbolic 3-plithogenic Number Theory", Neoma Journal Of Mathematics and Computer Science, 2023.

[14] Alfahal, A.; Alhasan, Y.; Abdulfatah, R.; Mehmood, A.; Kadhim, M. On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties. Int. J. Neutrosophic Sci. 2023, 21.

[15] Merkepci, H., "On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4-Plithogenic Real Square Matrices", Symmetry, MDPI, 2023.


Cite this Article as :
Style #
MLA Ahmed Hatip. "On The Algebraic Properties of Symbolic n-Plithogenic Matrices For n=5, n=6." Galoitica: Journal of Mathematical Structures and Applications, Vol. 7, No. 1, 2023 ,PP. 08-17 (Doi   :  https://doi.org/10.54216/GJMSA.070101)
APA Ahmed Hatip. (2023). On The Algebraic Properties of Symbolic n-Plithogenic Matrices For n=5, n=6. Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 ( 1 ), 08-17 (Doi   :  https://doi.org/10.54216/GJMSA.070101)
Chicago Ahmed Hatip. "On The Algebraic Properties of Symbolic n-Plithogenic Matrices For n=5, n=6." Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 no. 1 (2023): 08-17 (Doi   :  https://doi.org/10.54216/GJMSA.070101)
Harvard Ahmed Hatip. (2023). On The Algebraic Properties of Symbolic n-Plithogenic Matrices For n=5, n=6. Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 ( 1 ), 08-17 (Doi   :  https://doi.org/10.54216/GJMSA.070101)
Vancouver Ahmed Hatip. On The Algebraic Properties of Symbolic n-Plithogenic Matrices For n=5, n=6. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 7 ( 1 ): 08-17 (Doi   :  https://doi.org/10.54216/GJMSA.070101)
IEEE Ahmed Hatip, On The Algebraic Properties of Symbolic n-Plithogenic Matrices For n=5, n=6, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 7 , No. 1 , (2023) : 08-17 (Doi   :  https://doi.org/10.54216/GJMSA.070101)