Neutrosophic Sets and Systems (Nov 2023)
A Study of Symbolic 2-Plithogenic Split-Complex Linear Diophantine Equations in Two Variables
Abstract
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.