On The Symbolic 6-Plithogenic and 7-Plithogenic Rings
Khadija Ben Othman1,*, Othman Al-Basheer2, Rama Asad Nadweh3, Oliver Von Shtawzen4, Rozina Ali5
1 Umm Al-Qura Univerity, Mekka, Saudi Arabia
2 Sudan University Of Science and Technology, Faculty Of Science, Khartoum, Sudan
3 Islamic Online University, Department Of Science and Information Technology, Doha, Qatar
4 University Of Nizwa, Sultanate Of Oman,
5 Cairo University, Department of Mathematics, Cairo, Egypt
Emails: khagijabenothman33@gmail.com; othmanzolbasheer@gmail.com; ramaanadwehh@gmail.com; Vonshtawzen1970abc@gmail.com; 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