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)
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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[15] Merkepci, H., "On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4- Plithogenic Real Square Matrices", Symmetry, MDPI, 2023.
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| Style | # |
|---|---|
| MLA | Khadija Ben Othman, Othman Al-Basheer, Rama Asad Nadweh, Oliver Von Shtawzen, Rozina Ali. "On The Symbolic 6-Plithogenic and 7-Plithogenic Rings." Galoitica: Journal of Mathematical Structures and Applications, Vol. 8, No. 1, 2023 ,PP. 34-44 (Doi : https://doi.org/10.54216/GJMSA.080103) |
| APA | 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 Galoitica: Journal of Mathematical Structures and Applications, 8 ( 1 ), 34-44 (Doi : https://doi.org/10.54216/GJMSA.080103) |
| Chicago | 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 Galoitica: Journal of Mathematical Structures and Applications, 8 no. 1 (2023): 34-44 (Doi : https://doi.org/10.54216/GJMSA.080103) |
| Harvard | 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 Galoitica: Journal of Mathematical Structures and Applications, 8 ( 1 ), 34-44 (Doi : https://doi.org/10.54216/GJMSA.080103) |
| Vancouver | 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 Galoitica: Journal of Mathematical Structures and Applications, (2023); 8 ( 1 ): 34-44 (Doi : https://doi.org/10.54216/GJMSA.080103) |
| IEEE | 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 Galoitica: Journal of Mathematical Structures and Applications, Vol. 8 , No. 1 , (2023) : 34-44 (Doi : https://doi.org/10.54216/GJMSA.080103) |