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International Journal of Neutrosophic Science
Volume 22 , Issue 2, PP: 95-107 , 2023 | Cite this article as | XML | Html |PDF

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On The Symbolic n-Plithogenic Square Real Matrices For 13≤n≤14 and Their Elementary Algebraic Properties

  Luis llerena Ocana 1 * ,   Dionisio Ponce Ruiz 2 ,   Maria Pico Pico 3

1  Universidad Regional Autonoma de los Andes (UNIANDES), Ecuador
    (ua.luisllerena@uniandes.edu.ec)

2  Universidad Regional Autonoma de los Andes (UNIANDES), Ecuador
    (uqdionisioponce@uniandes.edu.ec)

3  Universidad Regional Autonoma de los Andes (UNIANDES), Ecuador
    (ua.mariapico@uniandes.edu.ec)

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Doi   :   https://doi.org/10.54216/IJNS.220208

Received: April 25, 2023 Revised: June 22, 2023 Accepted: September 20, 2023

Abstract :

The main goal of this paper is to study the algebraic properties of the symbolic n-plithogenic matrices in two different special cases (for n=13, n=14). We present many theorems that describe the algebraic behavior of these matrices, where an algorithm for computing determinants, inverses, and eigenvalues will be provided. On the other hand, the relationships between symbolic 13-plithogenic/14-plithogenic matrices and their classical components will be derived.

Keywords :

symbolic 13-plithogenic matrix; symbolic 14-plithogenic matrix; symbolic plithogenic eigenvalue; symbolic plithogenic eigenvector.

References :

[1] Merkepci, H., and Abobala, M., " On The Symbolic 2-Plithogenic Rings", International Journal of Neutrosophic Science, 2023.

[2] Smarandache, F., " Introduction to the Symbolic Plithogenic Algebraic Structures (revisited)", Neutrosophic Sets and Systems, vol. 53, 2023.

[3] 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.

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

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

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

[7] 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.

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

[9] Hatip, A., " On The Algebraic Properties of Symbolic n-Plithogenic Matrices For n=5, n=6", Galoitica Journal of Mathematical Structures and Applications, 2023.

[10] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On The Concept Of Symbolic 7-Plithogenic Real Matrices", Pure Mathematics For Theoretical Computer Science, Vol.1, 2023.

[11] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On The Symbolic 8-Plithogenic Matrices", Pure Mathematics For Theoretical Computer Science, Vol.1, 2023.

[12] 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.

[13] 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.

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

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

[16] 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.

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

[18] 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.

[19]  Smarandache, F., Quiroz-Martínez, M. A., Ricardo, J. E., Hernández, N. B., & Vázquez, M. Y. L. (2020). Application of neutrosophic offsets for digital image processing. Investigacion Operacional, 41(5), 603-611.

[20]  Sanchez, F. C., Blacio, J. H. A., Bracho, M. G. F., Santamaria, D. R. A., & Casanova, R. S. (2021). Neutrosophic and Plithogenic Statistical Analysis in Educational Development. Neutrosophic Sets and Systems, 44, 223-234.

[21]  Gomez, G. A. A., Vazquez, M. Y. L., & Ricardo, J. E. (2022). Application of Neutrosophy to the Analysis of Open Government, its Implementation and Contribution to the Ecuadorian Judicial System. Neutrosophic Sets and Systems, 52, 215-224.

Cite this Article as :
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MLA Luis llerena Ocana, Dionisio Ponce Ruiz, Maria Pico Pico. "On The Symbolic n-Plithogenic Square Real Matrices For 13≤n≤14 and Their Elementary Algebraic Properties." International Journal of Neutrosophic Science, Vol. 22, No. 2, 2023 ,PP. 95-107 (Doi   :  https://doi.org/10.54216/IJNS.220208)
APA Luis llerena Ocana, Dionisio Ponce Ruiz, Maria Pico Pico. (2023). On The Symbolic n-Plithogenic Square Real Matrices For 13≤n≤14 and Their Elementary Algebraic Properties. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 95-107 (Doi   :  https://doi.org/10.54216/IJNS.220208)
Chicago Luis llerena Ocana, Dionisio Ponce Ruiz, Maria Pico Pico. "On The Symbolic n-Plithogenic Square Real Matrices For 13≤n≤14 and Their Elementary Algebraic Properties." Journal of International Journal of Neutrosophic Science, 22 no. 2 (2023): 95-107 (Doi   :  https://doi.org/10.54216/IJNS.220208)
Harvard Luis llerena Ocana, Dionisio Ponce Ruiz, Maria Pico Pico. (2023). On The Symbolic n-Plithogenic Square Real Matrices For 13≤n≤14 and Their Elementary Algebraic Properties. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 95-107 (Doi   :  https://doi.org/10.54216/IJNS.220208)
Vancouver Luis llerena Ocana, Dionisio Ponce Ruiz, Maria Pico Pico. On The Symbolic n-Plithogenic Square Real Matrices For 13≤n≤14 and Their Elementary Algebraic Properties. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 2 ): 95-107 (Doi   :  https://doi.org/10.54216/IJNS.220208)
IEEE Luis llerena Ocana, Dionisio Ponce Ruiz, Maria Pico Pico, On The Symbolic n-Plithogenic Square Real Matrices For 13≤n≤14 and Their Elementary Algebraic Properties, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 2 , (2023) : 95-107 (Doi   :  https://doi.org/10.54216/IJNS.220208)
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