Neutrosophic Sets and Systems (Nov 2023)

A Study of Symbolic 2-Plithogenic Split-Complex Linear Diophantine Equations in Two Variables

  • Rama Asad Nadweh,
  • Oliver Von Shtawzen,
  • Ahmad Khaldi,
  • Rozina Ali

Journal volume & issue
Vol. 59
pp. 201 – 210

Abstract

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The equation 𝐴𝑋 + 𝐵𝑌 = 𝐶 is called symbolic 2-plithogenic linear Diophantine equation with two variables if 𝐴, 𝐵, 𝑋, 𝑌, 𝐶 are symbolic 2-plithogenic split-complex integers. This paper aims to find an algebraic formula for solving the symbolic 2-plithogenic split-complex linear Diophantine equation with two variables with necessary and sufficient conditions for the solvability of this class. Also, some related examples will be illustrated.

Keywords