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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.
Merkepçi et al. (Sun,) studied this question.