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

Oliver Von Shtawzen ^*

University Of Nizwa, Nizwa, Sultanate Of Oman

Email:Vonshtawzen1970abc@gmail.com

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.

Keywords:  n-cyclic refined neutrosophic ring; n-cyclic refined integer; group of units; Turiyam rings