194 152
Full Length Article
International Journal of Neutrosophic Science
Volume 23 , Issue 3, PP: 63-76 , 2024 | Cite this article as | XML | Html |PDF

Title

A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties

  Javier Gamboa-Cruzado 1 * ,   Renatto Oyague Guerra 2 ,   Enrique Condor Tinoco 3 ,   Guillermo Paucar-Carlos 4 ,   Juan Gamarra Moreno 5 ,   Warshine Barry 6

1  Universidad Nacional Federico Villareal, Lima, Perú; Universidad Nacional Mayor de San Marcos, Lima, Perú
    (jgamboa65@hotmail.com)

2  Universidad Nacional Federico Villareal, Lima, Perú
    (2017022116@unfv.edu.pe)

3  Universidad Nacional José María Arguedas, Andahuaylas, Perú
    (enricoti@unajma.edu.pe)

4  Universidad Nacional de San Antonio Abad del Cusco, Cuzco, Perú
    (guillermo.paucar@unsaac.edu.pe)

5  Universidad Nacional Mayor de San Marcos, Lima, Perú
    (juan.gamarra@unmsm.edu.pe)

6  University of Debrecen, Department of Mathematical and Computational Science, Debrecen, Hungary
    (warshinabarrykurd@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.230306

Received: August 17, 2023 Revised: November 26, 2023 Accepted: January 27, 2024

Abstract :

This paper is dedicated to study the algebraic structures that are related to symbolic 16-plithogenic/17-plithogenic with symbolic plithogenic real entries, where symbolic 16-plithogenic/17-plithogenic eigenvectors and values will be discussed and presented in terms of theorems. As well as, the computation of determinants, inverses, and eigenvalues and vectors.

Keywords :

symbolic 16-plithogenic matrix; symbolic 16-plithogenic eigenvalue; symbolic 16- plithogenic eigenvector; symbolic 17-plithogenic matrix; symbolic 17-plithogenic eigenvalue; symbolic 17- 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] Albasheer, O., Hajjari., A., and Dalla., R., " On The Symbolic 3-Plithogenic Rings and TheirAlgebraic Properties", Neutrosophic Sets and Systems, Vol 54, 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] Soueycatt, M., Charchekhandra, B., Abu Hakmeh, R., " On The Algebraic Properties Of Symbolic 6-Plithogenic Integers", Neutrosophic Sets and Systems, vol. 59, 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] Soueycatt, M., Charchekhandra, B., Abu Hakmeh, R., " On The Foundations Of Symbolic 5-Plithogenic Number Theory", Neutrosophic Sets and Systems, vol. 59, 2023.

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


Cite this Article as :
Style #
MLA Javier Gamboa-Cruzado, Renatto Oyague Guerra, Enrique Condor Tinoco, Guillermo Paucar-Carlos, Juan Gamarra Moreno, Warshine Barry. "A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties." International Journal of Neutrosophic Science, Vol. 23, No. 3, 2024 ,PP. 63-76 (Doi   :  https://doi.org/10.54216/IJNS.230306)
APA Javier Gamboa-Cruzado, Renatto Oyague Guerra, Enrique Condor Tinoco, Guillermo Paucar-Carlos, Juan Gamarra Moreno, Warshine Barry. (2024). A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. Journal of International Journal of Neutrosophic Science, 23 ( 3 ), 63-76 (Doi   :  https://doi.org/10.54216/IJNS.230306)
Chicago Javier Gamboa-Cruzado, Renatto Oyague Guerra, Enrique Condor Tinoco, Guillermo Paucar-Carlos, Juan Gamarra Moreno, Warshine Barry. "A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties." Journal of International Journal of Neutrosophic Science, 23 no. 3 (2024): 63-76 (Doi   :  https://doi.org/10.54216/IJNS.230306)
Harvard Javier Gamboa-Cruzado, Renatto Oyague Guerra, Enrique Condor Tinoco, Guillermo Paucar-Carlos, Juan Gamarra Moreno, Warshine Barry. (2024). A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. Journal of International Journal of Neutrosophic Science, 23 ( 3 ), 63-76 (Doi   :  https://doi.org/10.54216/IJNS.230306)
Vancouver Javier Gamboa-Cruzado, Renatto Oyague Guerra, Enrique Condor Tinoco, Guillermo Paucar-Carlos, Juan Gamarra Moreno, Warshine Barry. A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 3 ): 63-76 (Doi   :  https://doi.org/10.54216/IJNS.230306)
IEEE Javier Gamboa-Cruzado, Renatto Oyague Guerra, Enrique Condor Tinoco, Guillermo Paucar-Carlos, Juan Gamarra Moreno, Warshine Barry, A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 3 , (2024) : 63-76 (Doi   :  https://doi.org/10.54216/IJNS.230306)