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International Journal of Neutrosophic Science

Volume 23 , Issue 2 , PP: 263-269, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations

P. Prabakaran 1 * , Bol´ıvar V. Jadan 2 , Rita Azucena D. V´asquez 3 , Marcos Lalama Flores 4

  • 1 Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam - 638401, Tamil Nadu, India - (prabakaranpvkr@gmail.com)
  • 2 Software Engineering Department, the Autonomous Regional University of the Andes (UNIANDES), Ecuador - (us.bolivarvillalta@uniandes.edu.ec)
  • 3 Software Engineering Department, the Autonomous Regional University of the Andes (UNIANDES), Ecuador - (ui.ritadiaz@uniandes.edu.ec)
  • 4 Software Engineering Department, the Autonomous Regional University of the Andes (UNIANDES), Ecuador - (ua.marcoslalama@uniandes.edu.ec)

    • Doi: https://doi.org/10.54216/IJNS.230221

    Received: June 27, 2023 Revised: September 09, 2023 Accepted: December 29, 2023
    Abstract

    The main purpose of this article is to study about the representation symbolic 2-plithogenic matrices by linear transformations between symbolic 2-plithogenic vector spaces, where it proves that every symbolic 2- bplithogenic matrix can be represented uniquely by a linear transformation between symbolic 2-plithogenic vector spaces. Also, this work proves that any linear function between symbolic 2-plithogenic vector spaces must be an AH-linear transformation.

    Keywords :

    Symbolic 2-plithogenic vector space , symbolic 2-plithogenic matrice , linar transformation.

    References

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

    [2]   Abobala, M., “On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations”, Mathematical Problems in Engineering, Hindawi, 2021.

    [3]   Abobala, M., Hatip, A., Olgun, N., Broumi, S., Salama, A,A., and Khaled, E, H., “The Algebraic Creativity In The Neutrosophic Square Matrices”, Neutrosophic Sets and Systems, Vol. 40, pp.1-11, 2021.

    [4]   Abobala, M., “On the Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations”, Journal of Mathematics, Hindawi, 2021.

    [5]   Abobala, M.; Ziena, B.M.; Doewes, R.; Hussein, Z., “The Representation of Refined Neutrosophic Matrices by Refined Neutrosophic Linear Functions”, International Journal of Neutrosophic Science, Vol. 19, 2022.

    [6]   Abobala, M., “A Study of Nil Ideals and Kothe’s Conjecture in Neutrosophic Rings”, International Journal of Mathematics and Mathematical Sciences, Hindawi, 2021.

    [7]   Abuobida Mohammed A. Alfahal, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah, Arif Mehmood, Mustafa Talal Kadhim, “On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties”, International Journal of Neutrosophic Science, Vol. 21, PP. 96-104, 2023.

    [8]   Adeleke, E. O., Agboola, A. A. A., and Smarandache, F., “Refined neutrosophic rings II”, International Journal of Neutrosophic Science, Vol. 2, pp. 89–94, 2020.

    [9]   Albasheer, O., Hajjari., A., and Dalla., R., “On The Symbolic 3-Plithogenic Rings and Their Algebraic Properties”, Neutrosophic Sets and Systems, Vol. 54, 2023.

    [10]                  Albasheer, O., Hajjari, A., and Dalla, R. “On The Symbolic 3-Plithogenic Rings and Their Algebraic Properties”, Neutrosophic Sets System, Vol. 54, 2023.

    [11]                  Alfahal, A., Alhasan, Y., Abdulfatah, R., Mehmood, A., and Kadhim, M. “On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties“, International Journal of Neutrosophic Science, Vol. 23, 2023.

    [12]                  Ali, R., and Hasan, Z., “An Introduction To The Symbolic 3-Plithogenic Vector Spaces”, Galoitica Journal Of Mathematical Structures and Applications, Vol. 6, 2023.

    [13]                  Ali, R.; and Hasan, Z., “An Introduction to the Symbolic 3-Plithogenic Modules”, Galoitica Journal Of Mathematical Structures and Applications, Vol. 6, 2023.

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

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

    [16]                  Prabakaran, P., and Smarandache, F., “Solution of System of Symbolic 2-Plithogenic Linear Equations using Cramer’s Rul”, Neutrosophic Sets and Systems, Vol. 59, 2023.

    [17]                  Prabakaran, P., and Smarandache, F., “On Some Algebraic Properties of Symbolic 2-Plithogenic Square Matrice”, Neutrosophic Sets and Systems, Vol. 59, 2023.

    [18]                  Prabakaran, P., and Smarandache, F., “On Clean and Nil-Clean Symbolic 2-Plithogenic Rings”, Neutrosophic Sets and Systems, Vol. 59, 2023.

    [19]                  Prabakaran, P., Gomez, G.A., Diaz Vasquez, R.A., and Yacelga, A.L., “A Note on Invertible Neutrosophic Square Matrices”, International Journal of Neutrosophic Science”, Vol. 22, 2023.

    [20]                  Smarandache, F., “Introduction to the Symbolic Plithogenic Algebraic Structures (revisited)”, Neutrosophic Sets and Systems, Vol. 53, 2023.

    [21]                  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.

    [22]                  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.

    Cite This Article As :
    Prabakaran, P.. , V., Bol´ıvar. , Azucena, Rita. , Lalama, Marcos. Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 263-269. DOI: https://doi.org/10.54216/IJNS.230221
    Prabakaran, P. V., B. Azucena, R. Lalama, M. (2024). Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations. International Journal of Neutrosophic Science, (), 263-269. DOI: https://doi.org/10.54216/IJNS.230221
    Prabakaran, P.. V., Bol´ıvar. Azucena, Rita. Lalama, Marcos. Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations. International Journal of Neutrosophic Science , no. (2024): 263-269. DOI: https://doi.org/10.54216/IJNS.230221
    Prabakaran, P. , V., B. , Azucena, R. , Lalama, M. (2024) . Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations. International Journal of Neutrosophic Science , () , 263-269 . DOI: https://doi.org/10.54216/IJNS.230221
    Prabakaran P. , V. B. , Azucena R. , Lalama M. [2024]. Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations. International Journal of Neutrosophic Science. (): 263-269. DOI: https://doi.org/10.54216/IJNS.230221
    Prabakaran, P. V., B. Azucena, R. Lalama, M. "Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations," International Journal of Neutrosophic Science, vol. , no. , pp. 263-269, 2024. DOI: https://doi.org/10.54216/IJNS.230221

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