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 [Please download the PDF to view the mathematical expression] to be a Pythagoras triple, i.e. to be a solution for the non-linear Diophantine equation [X.sup.2] + [Y.sup.2] = [Z.sup.2]. Als...

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Veröffentlicht in:Neutrosophic sets and systems 2023-11, Vol.59 (SI), p.186-200
Hauptverfasser: Alfahal, Abuobida Mohammed A, Ahmad Alhasan, Yaser, Abdullah Abdulfatah, Raja, Edin Rabeh, Noor
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Sprache:eng
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Zusammenfassung:The objective of this paper is to find necessary and sufficient conditions for a symbolic 3-plithogenic triple [Please download the PDF to view the mathematical expression] to be a Pythagoras triple, i.e. to be a solution for the non-linear Diophantine equation [X.sup.2] + [Y.sup.2] = [Z.sup.2]. Also, many examples will be illustrated and presented to explain how the theorems work. Keywords: symbolic 3-plithogenic ring, Pythagoras triple, Pythagoras Diophantine equation
ISSN:2331-6055
2331-608X