1
Department of Mathematics , Gaziantep University, Gaziantep, Turkey
(hamiyetmerkepci@gmail.com)
2
Department of Mathematics , Gaziantep University, Gaziantep, Turkey
(Kollnaar5@gmail.com)
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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| Style | # |
|---|---|
| MLA | Hamiyet Merkepci, Ahmed Hatip. "Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings." International Journal of Neutrosophic Science, Vol. 20, No. 3, 2023 ,PP. 107-114 (Doi : https://doi.org/10.54216/IJNS.200310) |
| APA | Hamiyet Merkepci, Ahmed Hatip. (2023). Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings. Journal of International Journal of Neutrosophic Science, 20 ( 3 ), 107-114 (Doi : https://doi.org/10.54216/IJNS.200310) |
| Chicago | Hamiyet Merkepci, Ahmed Hatip. "Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings." Journal of International Journal of Neutrosophic Science, 20 no. 3 (2023): 107-114 (Doi : https://doi.org/10.54216/IJNS.200310) |
| Harvard | Hamiyet Merkepci, Ahmed Hatip. (2023). Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings. Journal of International Journal of Neutrosophic Science, 20 ( 3 ), 107-114 (Doi : https://doi.org/10.54216/IJNS.200310) |
| Vancouver | Hamiyet Merkepci, Ahmed Hatip. Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 3 ): 107-114 (Doi : https://doi.org/10.54216/IJNS.200310) |
| IEEE | Hamiyet Merkepci, Ahmed Hatip, Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 3 , (2023) : 107-114 (Doi : https://doi.org/10.54216/IJNS.200310) |