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International Journal of Neutrosophic Science
Volume 21 , Issue 1, PP: 96-104 , 2023 | Cite this article as | XML | Html |PDF

Title

On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties

  Abuobida Mohammed A. Alfahal 1 * ,   Yaser Ahmad Alhasan 2 ,   Raja Abdullah Abdulfatah 3 ,   Arif Mehmood 4 ,   Mustafa Talal Kadhim 5

1  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
    (a.alfahal@psau.edu.sa)

2  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
    (y.alhasan@psau.edu.sa)

3  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
    (r.abdulfatah@psau.edu.sa)

4  Department of mathematics, institute of numerical sciences, Gomal University, Dera Ismail Khan 29050, Pakistan
    (mehdaniyal@gmail.com)

5  Computer Techniques Engineering Department, Al-Mustaqbal University, Babil, Iraq
    (mostafat2000k@gmail.com)


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

Received: February 08, 2023 Revised: April 24, 2023 Accepted: May 06, 2023

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.

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[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.

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Cite this Article as :
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MLA 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, No. 1, 2023 ,PP. 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)
APA Abuobida Mohammed A. Alfahal, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah, Arif Mehmood, Mustafa Talal Kadhim. (2023). On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties. Journal of International Journal of Neutrosophic Science, 21 ( 1 ), 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)
Chicago 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." Journal of International Journal of Neutrosophic Science, 21 no. 1 (2023): 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)
Harvard Abuobida Mohammed A. Alfahal, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah, Arif Mehmood, Mustafa Talal Kadhim. (2023). On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties. Journal of International Journal of Neutrosophic Science, 21 ( 1 ), 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)
Vancouver 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. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 1 ): 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)
IEEE 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, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 1 , (2023) : 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)