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Galoitica: Journal of Mathematical Structures and Applications
Volume 6 , Issue 2, PP: 32-35 , 2023 | Cite this article as | XML | Html |PDF

Title

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

  Mohammad Abobala 1 *

1  Department Of Mathematics, Tishreen University, Latakia, Syria
    (Mohammadabobala777@gmail.com)

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

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

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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MLA Mohammad Abobala. "A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables." Galoitica: Journal of Mathematical Structures and Applications, Vol. 6, No. 2, 2023 ,PP. 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
APA Mohammad Abobala. (2023). A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables. Journal of Galoitica: Journal of Mathematical Structures and Applications, 6 ( 2 ), 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
Chicago Mohammad Abobala. "A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables." Journal of Galoitica: Journal of Mathematical Structures and Applications, 6 no. 2 (2023): 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
Harvard Mohammad Abobala. (2023). A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables. Journal of Galoitica: Journal of Mathematical Structures and Applications, 6 ( 2 ), 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
Vancouver Mohammad Abobala. A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 6 ( 2 ): 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
IEEE Mohammad Abobala, A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 6 , No. 2 , (2023) : 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
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