International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 20 , Issue 3 , PP: 107-114, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

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

Hamiyet Merkepci 1 * , Ahmed Hatip 2

  • 1 Department of Mathematics , Gaziantep University, Gaziantep, Turkey - (hamiyetmerkepci@gmail.com)
  • 2 Department of Mathematics , Gaziantep University, Gaziantep, Turkey - (Kollnaar5@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.200310

    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

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    Cite This Article As :
    Merkepci, Hamiyet. , Hatip, Ahmed. Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings. International Journal of Neutrosophic Science, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 107-114, 2023. DOI: https://doi.org/10.54216/IJNS.200310