JOURNAL ARTICLE

On the Solutions of Fermat's Diophantine Equation in 2-cyclic Refined Neutrosophic Ring of Integers.

  • Published In: International Journal of Neutrosophic Science (IJNS), 2023, v. 20, n. 3. P. 8 1 of 3

  • Database: Applied Science & Technology Source Ultimate 2 of 3

  • Authored By: Alfahal, Abuobida M. A.; Alhasan, Yaser A.; Abdulfatah, Raja A.; Ali, Rozina 3 of 3

Abstract

The Diophantine equation Xn + Yn = Zn 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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Neutrosophic Science (IJNS). 2023/03, Vol. 20, Issue 3, p8
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2023
  • ISSN:26926148
  • DOI:10.54216/IJNS.200301
  • Accession Number:180878466
  • Copyright Statement:Copyright of International Journal of Neutrosophic Science (IJNS) is the property of American Scientific Publishing Group and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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