On the Symbolic 2-Plithogenic Rings

Hamiyet Merkepci¹, Mohammad Abobala^2,*

¹Department of Mathematics , Gaziantep University, Gaziantep, Turkey

²Tishreen University, Department of Mathematics, Latakia, Syria

Emails: Hamiyetmerkepci@gmail.com ; Mohammadabobala777@gmail.com

Abstract

The objective of this paper is to study for the first time the algebraic properties of symbolic 2-plithogenic rings generated from the fusion of symbolic plithogenic sets with algebraic rings, where we study some of the elementary properties and substructures of symbolic 2-plithogenic rings such as AH-ideals, AH-homomorphisms, and AHS-isomorphisms. Also, the idempotency and nilpotency of symbolic 2-plithogenic elements in terms of theorems have been discussed. Besides, many examples to clarify the validity of our work have been covered.

Keywords: Symbolic plithogenic set; 2-plithogenic ring; AH-ideal; AH-homomorphism