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

P.; Bol´ıvar V.; Rita Azucena D.; Marcos Lalama

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

Full Length Article

Volume 23 • Issue 2 • PP: 263-269 • 2024

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

P. Prabakaran ^1*

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,

Bol´ıvar V. Jadan ²

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,

Rita Azucena D. V´asquez ²

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,

Marcos Lalama Flores ²

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¹Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam - 638401, Tamil Nadu, India

²Software Engineering Department, the Autonomous Regional University of the Andes (UNIANDES), Ecuador

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.230221

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

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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] H. Merkepci and M. Abobala, “On the Symbolic Plithogenic Structures in Algebra,” Journal of Applied Mathematics and Computation, vol. 45, pp. 200-210, 2021.

[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.

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Prabakaran, P., Jadan, Bol´ıvar V., V´asquez, Rita Azucena D., Flores, Marcos Lalama. "Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 2, 2024, pp. 263-269. DOI: https://doi.org/10.54216/IJNS.230221

Prabakaran, P., Jadan, B., V´asquez, R., Flores, M. (2024). Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations. International Journal of Neutrosophic Science, Volume 23(Issue 2), 263-269. DOI: https://doi.org/10.54216/IJNS.230221

Prabakaran, P., Jadan, Bol´ıvar V., V´asquez, Rita Azucena D., Flores, Marcos Lalama. "Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations." International Journal of Neutrosophic Science Volume 23, no. Issue 2 (2024): 263-269. DOI: https://doi.org/10.54216/IJNS.230221

Prabakaran, P., Jadan, B., V´asquez, R., Flores, M. (2024) 'Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations', International Journal of Neutrosophic Science, Volume 23(Issue 2), pp. 263-269. DOI: https://doi.org/10.54216/IJNS.230221

Prabakaran P, Jadan B, V´asquez R, Flores M. Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 2):263-269. DOI: https://doi.org/10.54216/IJNS.230221

P. Prabakaran, B. Jadan, R. V´asquez, M. Flores, "Representation of Symbolic 2-Plithogenic Matrices by Symbolic 2-Plithogenic Linear Transformations," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 2, pp. 263-269, 2024. DOI: https://doi.org/10.54216/IJNS.230221

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