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International Journal of Neutrosophic Science
Volume 23 , Issue 2, PP: 263-269 , 2024 | Cite this article as | XML | Html |PDF

Title

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 :

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[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.

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Cite this Article as :
Style #
MLA P. Prabakaran, Bol´ıvar V. Jadan, Rita Azucena D. V´asquez, Marcos Lalama Flores. "Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations." International Journal of Neutrosophic Science, Vol. 23, No. 2, 2024 ,PP. 263-269 (Doi   :  https://doi.org/10.54216/IJNS.230221)
APA P. Prabakaran, Bol´ıvar V. Jadan, Rita Azucena D. V´asquez, Marcos Lalama Flores. (2024). Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 263-269 (Doi   :  https://doi.org/10.54216/IJNS.230221)
Chicago P. Prabakaran, Bol´ıvar V. Jadan, Rita Azucena D. V´asquez, Marcos Lalama Flores. "Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations." Journal of International Journal of Neutrosophic Science, 23 no. 2 (2024): 263-269 (Doi   :  https://doi.org/10.54216/IJNS.230221)
Harvard P. Prabakaran, Bol´ıvar V. Jadan, Rita Azucena D. V´asquez, Marcos Lalama Flores. (2024). Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 263-269 (Doi   :  https://doi.org/10.54216/IJNS.230221)
Vancouver P. Prabakaran, Bol´ıvar V. Jadan, Rita Azucena D. V´asquez, Marcos Lalama Flores. Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 2 ): 263-269 (Doi   :  https://doi.org/10.54216/IJNS.230221)
IEEE P. Prabakaran, Bol´ıvar V. Jadan, Rita Azucena D. V´asquez, Marcos Lalama Flores, Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 2 , (2024) : 263-269 (Doi   :  https://doi.org/10.54216/IJNS.230221)