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International Journal of Neutrosophic Science

Volume 23 , Issue 3 , PP: 63-76, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

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 :
    Gamboa-Cruzado, Javier. , Oyague, Renatto. , Condor, Enrique. , Paucar-Carlos, Guillermo. , Gamarra, Juan. , Barry, Warshine. A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 63-76. DOI: https://doi.org/10.54216/IJNS.230306
    Gamboa-Cruzado, J. Oyague, R. Condor, E. Paucar-Carlos, G. Gamarra, J. Barry, W. (2024). A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. International Journal of Neutrosophic Science, (), 63-76. DOI: https://doi.org/10.54216/IJNS.230306
    Gamboa-Cruzado, Javier. Oyague, Renatto. Condor, Enrique. Paucar-Carlos, Guillermo. Gamarra, Juan. Barry, Warshine. A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. International Journal of Neutrosophic Science , no. (2024): 63-76. DOI: https://doi.org/10.54216/IJNS.230306
    Gamboa-Cruzado, J. , Oyague, R. , Condor, E. , Paucar-Carlos, G. , Gamarra, J. , Barry, W. (2024) . A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. International Journal of Neutrosophic Science , () , 63-76 . DOI: https://doi.org/10.54216/IJNS.230306
    Gamboa-Cruzado J. , Oyague R. , Condor E. , Paucar-Carlos G. , Gamarra J. , Barry W. [2024]. A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. International Journal of Neutrosophic Science. (): 63-76. DOI: https://doi.org/10.54216/IJNS.230306
    Gamboa-Cruzado, J. Oyague, R. Condor, E. Paucar-Carlos, G. Gamarra, J. Barry, W. "A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties," International Journal of Neutrosophic Science, vol. , no. , pp. 63-76, 2024. DOI: https://doi.org/10.54216/IJNS.230306

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