On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties

Abuobida Mohammed A.; Yaser Ahmad; Raja Abdullah; Arif; Mustafa Talal

doi:https://doi.org/10.54216/IJNS.210109

Full Length Article

Volume 21 • Issue 1 • PP: 96-104 • 2023

On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties

Abuobida Mohammed A. Alfahal ^1*

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,

Yaser Ahmad Alhasan ¹

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,

Raja Abdullah Abdulfatah ¹

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,

Arif Mehmood ²

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,

Mustafa Talal Kadhim ³

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¹Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia

²Department of mathematics, institute of numerical sciences, Gomal University, Dera Ismail Khan 29050, Pakistan

³Computer Techniques Engineering Department, Al-Mustaqbal University, Babil, Iraq

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.210109

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Received: March 28, 2023 Revised: April 24, 2023 Accepted: May 06, 2023

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Abstract

Symbolic n-plithogenic sets came with many generalizations to classical algebraic structures, with many interesting properties and theorems, where the symbolic 2-plithogenic structures are very similar in their algebraic properties to refined neutrosophic algebraic structures. The main goal of this article is to study the algebraic properties of symbolic 2-plithogenic matrices such as the computing on symbolic 2-plithogenic determinants, symbolic 2-plithogenic special values, and symbolic 2-plithogenic representations by linear functions. In addition, many examples will be presented and discussed in terms of theorems to clarify the validity of the content of this paper.

Keywords

symbolic 2-plithogenic matrix symbolic 2-plithogenic ring symbolic 2-plithogenic invertibility.

References

[1] Nader Mahmoud Taffach , Ahmed Hatip., "A Review on Symbolic 2-Plithogenic Algebraic Structures " Galoitica Journal Of Mathematical Structures and Applications, Vol.5, 2023.

[2] Nader Mahmoud Taffach , Ahmed Hatip.," A Brief Review on The Symbolic 2-Plithogenic Number Theory and Algebraic Equations ", Galoitica Journal Of Mathematical Structures and Applications, Vol.5, 2023.

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

[4] Smarandache, F., " Introduction to the Symbolic Plithogenic Algebraic Structures (revisited)", Neutrosophic Sets and Systems, vol. 53, 2023.

[5] 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.

[6] 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.

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

[8] Albasheer, O., Hajjari., A., and Dalla., R., " On The Symbolic 3-Plithogenic Rings and TheirAlgebraic Properties", Neutrosophic Sets and Systems, Vol 54, 2023.

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

[10] 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.

[11] 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.

[12] Abobala, M., Ziena, B,M., Doewes, R., and Hussein, Z., "The Representation Of Refined Neutrosophic Matrices By Refined Neutrosophic Linear Functions", International Journal Of Neutrosophic Science, 2022.

[13] Merkepci, H., and Abobala, M., " The Application of AH-isometry In The Study Of Neutrosophic Conic Sections", Galoitica Journal Of Mathematical Structures And Applications, Vol.2, 2022.

[14] Abobala, M., and Zeina, M.B., " A Study Of Neutrosophic Real Analysis By Using One Dimensional Geometric AH-Isometry", Galoitica Journal Of Mathematical Structures And Applications, Vol.3, 2023.

[15] Khaldi, A., " A Study On Split-Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.

[16] Ahmad, K., " On Some Split-Complex Diophantine Equations", Neoma Journal Of Mathematics and Computer Science, 2023.

[17] Ali, R., " On The Weak Fuzzy Complex Inner Products On Weak Fuzzy Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.

[18] Von Shtawzen, O., " Conjectures For Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers", Journal Of Neutrosophic And Fuzzy Systems, Vol.3, 2022.

[19] Basheer, A., Ahmad, K., and Ali, R., " A Short Contribution To Von Shtawzen's Abelian Group In n-Cyclic Refined Neutrosophic Rings", Journal Of Neutrosophic And Fuzzy Systems,, 2022

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Alfahal, Abuobida Mohammed A., Alhasan, Yaser Ahmad, Abdulfatah, Raja Abdullah, Mehmood, Arif, Kadhim, Mustafa Talal. "On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties." International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 1, 2023, pp. 96-104. DOI: https://doi.org/10.54216/IJNS.210109

Alfahal, A., Alhasan, Y., Abdulfatah, R., Mehmood, A., Kadhim, M. (2023). On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties. International Journal of Neutrosophic Science, Volume 21(Issue 1), 96-104. DOI: https://doi.org/10.54216/IJNS.210109

Alfahal, Abuobida Mohammed A., Alhasan, Yaser Ahmad, Abdulfatah, Raja Abdullah, Mehmood, Arif, Kadhim, Mustafa Talal. "On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties." International Journal of Neutrosophic Science Volume 21, no. Issue 1 (2023): 96-104. DOI: https://doi.org/10.54216/IJNS.210109

Alfahal, A., Alhasan, Y., Abdulfatah, R., Mehmood, A., Kadhim, M. (2023) 'On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties', International Journal of Neutrosophic Science, Volume 21(Issue 1), pp. 96-104. DOI: https://doi.org/10.54216/IJNS.210109

Alfahal A, Alhasan Y, Abdulfatah R, Mehmood A, Kadhim M. On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties. International Journal of Neutrosophic Science. 2023;Volume 21(Issue 1):96-104. DOI: https://doi.org/10.54216/IJNS.210109

A. Alfahal, Y. Alhasan, R. Abdulfatah, A. Mehmood, M. Kadhim, "On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties," International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 1, pp. 96-104, 2023. DOI: https://doi.org/10.54216/IJNS.210109

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