Galoitica: Journal of Mathematical Structures and Applications

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

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 :
    Ben, Khadija. , Al-Basheer, Othman. , Asad, Rama. , Von, Oliver. , Ali, Rozina. On The Symbolic 6-Plithogenic and 7-Plithogenic Rings. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2023, pp. 34-44. DOI: https://doi.org/10.54216/GJMSA.080103
    Ben, K. Al-Basheer, O. Asad, R. Von, O. Ali, R. (2023). On The Symbolic 6-Plithogenic and 7-Plithogenic Rings. Galoitica: Journal of Mathematical Structures and Applications, (), 34-44. DOI: https://doi.org/10.54216/GJMSA.080103
    Ben, Khadija. Al-Basheer, Othman. Asad, Rama. Von, Oliver. Ali, Rozina. On The Symbolic 6-Plithogenic and 7-Plithogenic Rings. Galoitica: Journal of Mathematical Structures and Applications , no. (2023): 34-44. DOI: https://doi.org/10.54216/GJMSA.080103
    Ben, K. , Al-Basheer, O. , Asad, R. , Von, O. , Ali, R. (2023) . On The Symbolic 6-Plithogenic and 7-Plithogenic Rings. Galoitica: Journal of Mathematical Structures and Applications , () , 34-44 . DOI: https://doi.org/10.54216/GJMSA.080103
    Ben K. , Al-Basheer O. , Asad R. , Von O. , Ali R. [2023]. On The Symbolic 6-Plithogenic and 7-Plithogenic Rings. Galoitica: Journal of Mathematical Structures and Applications. (): 34-44. DOI: https://doi.org/10.54216/GJMSA.080103
    Ben, K. Al-Basheer, O. Asad, R. Von, O. Ali, R. "On The Symbolic 6-Plithogenic and 7-Plithogenic Rings," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 34-44, 2023. DOI: https://doi.org/10.54216/GJMSA.080103