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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 20Issue 3PP: 107-114 • 2023

Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings

Hamiyet Merkepci 1* ,
Ahmed Hatip 1
1Department of Mathematics , Gaziantep University, Gaziantep, Turkey
* Corresponding Author.
Received: October 08, 2022 Accepted: March 04, 2023

Abstract

This paper is dedicated to study the number theoretical Pythagoras triples\4-tiples problem in several kinds of neutrosophic algebraic systems, where it finds an algorithm to find Pythagoras triples\4-tiples in commutative neutrosophic rings and refined neutrosophic rings too. Besides, the necessary and sufficient condition for a triple\4-tiple to be Pythagoras triple\4-tiple (quadruples) is obtained and proven in term of theorems. In addition, many numerical examples will be illustrated.

Keywords

Neutrosophic ring refined neutrosophic ring Pythagoras triple neutrosophic number theory

References

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Merkepci, Hamiyet, Hatip, Ahmed. "Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings." International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 3, 2023, pp. 107-114. DOI: https://doi.org/10.54216/IJNS.200310
Merkepci, H., Hatip, A. (2023). Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings. International Journal of Neutrosophic Science, Volume 20(Issue 3), 107-114. DOI: https://doi.org/10.54216/IJNS.200310
Merkepci, Hamiyet, Hatip, Ahmed. "Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings." International Journal of Neutrosophic Science Volume 20, no. Issue 3 (2023): 107-114. DOI: https://doi.org/10.54216/IJNS.200310
Merkepci, H., Hatip, A. (2023) 'Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings', International Journal of Neutrosophic Science, Volume 20(Issue 3), pp. 107-114. DOI: https://doi.org/10.54216/IJNS.200310
Merkepci H, Hatip A. Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings. International Journal of Neutrosophic Science. 2023;Volume 20(Issue 3):107-114. DOI: https://doi.org/10.54216/IJNS.200310
H. Merkepci, A. Hatip, "Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings," International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 3, pp. 107-114, 2023. DOI: https://doi.org/10.54216/IJNS.200310
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