Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers

Abstract

The objective of this paper is to suggest two new conjectures concerning the invertible elements in 3-cyclic, and 4-cyclic refined neutrosophic rings of integers, where the invertibility condition shows that the solution of some Diophantine equations may determine the classification of the group of units of these algebraic rings.