On The Classification of The Group of Units of Rational and Real 2-Cyclic Refined Neutrosophic Rings

The objective of this paper is to solve two open problems about the group of units of some 2-cyclic refined neutrosophic rings asked by Sadiq. Where it provides a classification theorem for these rings, and uses this classification property to give a full answer of these open questions. Also, this work presents a novel algorithm to find all imperfect neutrosophic duplets and triplets in many numerical 2-cyclic refined neutrosophic rings by using the classification isomorphisms.