Generating Pythagoras Quadruples in Symbolic 2-Plithogenic Commutative Rings

Authors

  • Yaser Ahmad Alhasan Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University
  • Abuobida Mohammed A. Alfahal
  • Raja Abdullah Abdulfatah Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University

Keywords:

symbolic 2-plithogenic ring, Pythagoras quadruples, Diophantine equation

Abstract

This paper is dedicated to find a general algorithm for generating different solutions for Pythagoras non-linear Diophantine equation in four variables x2+y2+z2=t2 in symbolic 2-plithogenic rings, which are known as Pythagoras quadruples. Also, we present some examples about those quadruples in some finite symbolic 2-plithogenic rings

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Published

2023-11-01 — Updated on 2024-02-10

Versions

Issue

Vol. 59 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Yaser Ahmad Alhasan, Abuobida Mohammed A. Alfahal, & Raja Abdullah Abdulfatah. (2024). Generating Pythagoras Quadruples in Symbolic 2-Plithogenic Commutative Rings. Neutrosophic Sets and Systems, 59, 1-12. https://fs.unm.edu/nss8/index.php/111/article/view/3728 (Original work published 2023)

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