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

Mohammad

doi:https://doi.org/10.54216/GJMSA.060204

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Volume 6 • Issue 2 • PP: 32-35 • 2023

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

Mohammad Abobala ^1*

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¹Department Of Mathematics, Tishreen University, Latakia, Syria

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.060204

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Received: January 25, 2022 Revised: March 14, 2023 Accepted: May 09, 2023

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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.

References

[1] Deckelman, S.; Robson, B. Split-Complex Numbers and Dirac Bra-kets. Communications In Information and Systems 2014, 14, 135-159.

[2] Hatip, A., "An Introduction To Weak Fuzzy Complex Numbers ", Galoitica Journal Of Mathematical Structures and Applications, Vol.3, 2023.

[3] Khaldi, A., " A Study On Split-Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.

[4] Ahmad, K., " On Some Split-Complex Diophantine Equations", Neoma Journal Of Mathematics and Computer Science, 2023.

[5] Ali, R., " On The Weak Fuzzy Complex Inner Products On Weak Fuzzy Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.

[6] Merkepci, M., and Abobala, M., " On Some Novel Results About Split-Complex Numbers, The Diagonalization Problem And Applications To Public Key Asymmetric Cryptography", Journal of Mathematics, Hindawi, 2023.

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Abobala, Mohammad. "A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 6, no. Issue 2, 2023, pp. 32-35. DOI: https://doi.org/10.54216/GJMSA.060204

Abobala, M. (2023). A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables. Galoitica: Journal of Mathematical Structures and Applications, Volume 6(Issue 2), 32-35. DOI: https://doi.org/10.54216/GJMSA.060204

Abobala, Mohammad. "A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables." Galoitica: Journal of Mathematical Structures and Applications Volume 6, no. Issue 2 (2023): 32-35. DOI: https://doi.org/10.54216/GJMSA.060204

Abobala, M. (2023) 'A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables', Galoitica: Journal of Mathematical Structures and Applications, Volume 6(Issue 2), pp. 32-35. DOI: https://doi.org/10.54216/GJMSA.060204

Abobala M. A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 6(Issue 2):32-35. DOI: https://doi.org/10.54216/GJMSA.060204

M. Abobala, "A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 6, no. Issue 2, pp. 32-35, 2023. DOI: https://doi.org/10.54216/GJMSA.060204

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