On Pythagoras Triples in Symbolic 3-Plithogenic Rings

The objective of this paper is to find necessary and sufficient conditions for a symbolic 3-plithogenic triple (𝑡0 + 𝑡1𝑃1 + 𝑡2𝑃2 + 𝑡3𝑃3, 𝑠0 + 𝑠1𝑃1 + 𝑠2𝑃2 + 𝑠3𝑃3, 𝑘0 + 𝑘1𝑃1 + 𝑘2𝑃2 + 𝑘3𝑃3 ) to be a Pythagoras triple, i.e. to be a solution for the non-linear Diophantine equation 𝑋 2 + 𝑌 2 = 𝑍 2 . Also,...

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Bibliographic Details
Main Authors: Abuobida Mohammed A. Alfahal, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah, Noor Edin Rabeh
Format: Article
Language:English
Published: University of New Mexico 2023-11-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/OnPythagorasTriplesInSymb3Plitho.pdf

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