2023•International Journal of Neutrosophic ScienceRequires access
On the Solutions of Fermat's Diophantine Equation in 2-cyclic Refined Neutrosophic Ring of Integers
Abuobida M. A. Alfahal, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah, Rozina Ali
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Abstract
The Diophantine equation X^n+Y^n=Z^n is called the Fermat's Diophantine equation. Its solutions are called general Fermat's triples.The aim of this paper is to study the solutions of Fermat's Diophantine equation in the 2-cyclic refined neutrosophic ring of integers, where we determine all possible solutions of this Diophantine equation, as well as, the special case of Pythagoras triples.