Galoitica: Journal of Mathematical Structures and Applications

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https://doi.org/10.54216/GJSMA

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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

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)
  • 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.

    Cite This Article As :
    Mohammad Abobala. "A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables." Full Length Article, Vol. 6, No. 2, 2023 ,PP. 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
    Mohammad Abobala. (2023). A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables. Journal of , 6 ( 2 ), 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
    Mohammad Abobala. "A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables." Journal of , 6 no. 2 (2023): 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
    Mohammad Abobala. (2023). A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables. Journal of , 6 ( 2 ), 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
    Mohammad Abobala. A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables. Journal of , (2023); 6 ( 2 ): 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)
    Mohammad Abobala, A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables, Journal of , Vol. 6 , No. 2 , (2023) : 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204)