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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 21 , Issue 1 , PP: 96-104, 2023 | Cite this article as | XML | Html | PDF

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.

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

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

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    Cite This Article As :
    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." Full Length Article, Vol. 21, No. 1, 2023 ,PP. 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)
    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 , 21 ( 1 ), 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)
    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 , 21 no. 1 (2023): 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)
    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 , 21 ( 1 ), 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)
    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 , (2023); 21 ( 1 ): 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)
    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 , Vol. 21 , No. 1 , (2023) : 96-104 (Doi   :  https://doi.org/10.54216/IJNS.210109)

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