A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables

Mohammad Abobala

Department Of Mathematics, Tishreen University, Latakia, Syria

Abstract

In this work, we study the split-complex integer solutions for the split-complex linear Diophantine equation in two variables where are split-complex integers. An algorithm for generating all solutions will be obtained by transforming the split-complex equation to a classical equivalent system of linear Diophantine equations in four variables.

Keywords: split-complex integer; split-complex Diophantine equation; general solution.