The Computing of Pythagoras Triples in Symbolic 2-Plithogenic Rings

Abuobida Mohammed A. Alfahal; Yaser Ahmad Alhasan; Raja Abdullah Abdulfatah; Ahmad Abd Al-Aziz

doi:10.5281/zenodo.10031222

The Computing of Pythagoras Triples in Symbolic 2-Plithogenic Rings

Abuobida Mohammed A. Alfahal
, Yaser Ahmad Alhasan
, Raja Abdullah Abdulfatah
, Ahmad Abd Al-Aziz

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	223-233
Number of pages	11
Journal	Neutrosophic Sets and Systems
Volume	59
DOIs	https://doi.org/10.5281/zenodo.10031222
State	Published - 2023
Externally published	Yes

Keywords

Diophantine equations
Pythagoras triples
symbolic 2-plithogenic ring

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10.5281/zenodo.10031222

Cite this

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

keywords = "Diophantine equations, Pythagoras triples, symbolic 2-plithogenic ring",

author = "Alfahal, \{Abuobida Mohammed A.\} and Alhasan, \{Yaser Ahmad\} and Abdulfatah, \{Raja Abdullah\} and Al-Aziz, \{Ahmad Abd\}",

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doi = "10.5281/zenodo.10031222",

language = "English",

volume = "59",

pages = "223--233",

journal = "Neutrosophic Sets and Systems",

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publisher = "University of New Mexico",

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AU - Alfahal, Abuobida Mohammed A.

AU - Alhasan, Yaser Ahmad

AU - Abdulfatah, Raja Abdullah

AU - Al-Aziz, Ahmad Abd

PY - 2023

Y1 - 2023

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

KW - Diophantine equations

KW - Pythagoras triples

KW - symbolic 2-plithogenic ring

UR - https://www.scopus.com/pages/publications/85186600865

U2 - 10.5281/zenodo.10031222

DO - 10.5281/zenodo.10031222

M3 - Article

AN - SCOPUS:85186600865

SN - 2331-6055

VL - 59

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EP - 233

JO - Neutrosophic Sets and Systems

JF - Neutrosophic Sets and Systems

ER -

The Computing of Pythagoras Triples in Symbolic 2-Plithogenic Rings

Abstract

Keywords

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