Galoitica: Journal of Mathematical Structures and Applications

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Galoitica: Journal of Mathematical Structures and Applications

Volume 8 , Issue 1 , PP: 34-44, 2023 | Cite this article as | XML | Html | PDF

On The Symbolic 6-Plithogenic and 7-Plithogenic Rings

Khadija Ben Othman 1 * , Othman Al-Basheer 2 , Rama Asad Nadweh 3 , Oliver Von Shtawzen 4 , Rozina Ali 5

  • 1 Umm Al-Qura Univerity, Mekka, Saudi Arabia - (khagijabenothman33@gmail.com)
  • 2 Sudan University Of Science and Technology, Faculty Of Science, Khartoum, Sudan - (othmanzolbasheer@gmail.com)
  • 3 Islamic Online University, Department Of Science and Information Technology, Doha, Qatar - (ramaanadwehh@gmail.com)
  • 4 University Of Nizwa, Sultanate Of Oman - (Vonshtawzen1970abc@gmail.com)
  • 5 Cairo University, Department of Mathematics, Cairo, Egypt - (Rozyyy123n@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.080103

    Received: March 23, 2023 Revised: June 19, 2023 Accepted: September 04, 2023
    Abstract

    Symbolic n-plithogenic algebraic structures are considered as a direct application of fuzzy generalized systems in pure algebra, where the symbolic n-plithogenic set is used to generalize algebraic structures by adding logical generators. In this paper, we study the concept of symbolic 6-plithogenic rings and 7-plithogenic rings from an algebraic point of view, where the main substructures formed by them will be presented such as AH-ideals, AHS-isomorphisms, and AH-kernels. Also, many theorems that explain their algebraic behaviors and classifications will be proved and illustrated.

    Keywords :

    symbolic 6-plithogenic ring , symbolic 7-plithogenic ring , AH-ideal , AH-homomorphism

    References

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    Cite This Article As :
    Khadija Ben Othman, Othman Al-Basheer, Rama Asad Nadweh, Oliver Von Shtawzen, Rozina Ali. "On The Symbolic 6-Plithogenic and 7-Plithogenic Rings." Full Length Article, Vol. 8, No. 1, 2023 ,PP. 34-44 (Doi   :  https://doi.org/10.54216/GJMSA.080103)
    Khadija Ben Othman, Othman Al-Basheer, Rama Asad Nadweh, Oliver Von Shtawzen, Rozina Ali. (2023). On The Symbolic 6-Plithogenic and 7-Plithogenic Rings. Journal of , 8 ( 1 ), 34-44 (Doi   :  https://doi.org/10.54216/GJMSA.080103)
    Khadija Ben Othman, Othman Al-Basheer, Rama Asad Nadweh, Oliver Von Shtawzen, Rozina Ali. "On The Symbolic 6-Plithogenic and 7-Plithogenic Rings." Journal of , 8 no. 1 (2023): 34-44 (Doi   :  https://doi.org/10.54216/GJMSA.080103)
    Khadija Ben Othman, Othman Al-Basheer, Rama Asad Nadweh, Oliver Von Shtawzen, Rozina Ali. (2023). On The Symbolic 6-Plithogenic and 7-Plithogenic Rings. Journal of , 8 ( 1 ), 34-44 (Doi   :  https://doi.org/10.54216/GJMSA.080103)
    Khadija Ben Othman, Othman Al-Basheer, Rama Asad Nadweh, Oliver Von Shtawzen, Rozina Ali. On The Symbolic 6-Plithogenic and 7-Plithogenic Rings. Journal of , (2023); 8 ( 1 ): 34-44 (Doi   :  https://doi.org/10.54216/GJMSA.080103)
    Khadija Ben Othman, Othman Al-Basheer, Rama Asad Nadweh, Oliver Von Shtawzen, Rozina Ali, On The Symbolic 6-Plithogenic and 7-Plithogenic Rings, Journal of , Vol. 8 , No. 1 , (2023) : 34-44 (Doi   :  https://doi.org/10.54216/GJMSA.080103)