Volume 20 , Issue 3 , PP: 08-14, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Abuobida M. A. Alfahal 1 * , Yaser A. Alhasan 2 , Raja A. Abdulfatah 3 , Rozina Ali 4
Doi: https://doi.org/10.54216/IJNS.200301
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.
2- cyclic refined Neutrosophic integer , 2-cyclic refined Neutrosophic Fermat's equation , Pythagoras triple  ,
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