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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 20 , Issue 3 , PP: 25-32, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

On the Split-Complex Neutrosophic Numbers and Their Algebraic Properties

Abuobida M. A. Alfahal 1 * , Yaser A. Alhasan 2 , Raja A. Abdulfatah 3 , Rozina Ali 4

  • 1 Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia - (a.alfahal@psau.edu.sa)
  • 2 Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia - (y.alhasan@psau.edu.sa)
  • 3 Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia - (r.abdulfatah@psau.edu.sa)
  • 4 Cairo University, department of mathematics, Cairo, Egypt - (Rozyyy123n@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.200303

    Received: September 26, 2022 Accepted: March 03, 2023
    Abstract

    The objective of this paper is to define for the first time the concept of split-complex numbers as a new generalization of classical split-complex numbers by using neutrosophic numbers. Also, we study the elementary properties of this new numerical class such as equations, conjugates, and vector spaces formed by it. On the other hand, some special AH-subspaces will be presented and handled with many corresponding examples.

    Keywords :

    split-complex number , neutrosophic number , neutrosophic split-complex number

    References

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

    [2]  Akar,  M.;  Yuce,  S.;  Sahin,  S.  On  The  Dual  Hyperbolic  Numbers  and  The  Complex  Hyperbolic Numbers. Jcscm 2018, 8, DOI: 10.20967/jcscm.2018.01.001.

    [3]  Fjelstand,  P.  Extending  Special  Relativity  Via  The  Perplex  Numbers.  American  Journal  Of  Physics 1986, 54, Doi: 10.1119/1.14605.

    [4]  Abobala,  M.,  "Neutrosophic  Real  Inner  Product  Spaces",  Neutrosophic  Sets  and  Systems,  Vol.  43, 2021..

    [5]  Celik,  M.,  and  Olgun,  N.,  "  An  Introduction  To  Neutrosophic  Real  Banach  And  Hillbert  Spaces", Galoitica Journal Of Mathematical Structures And Applications, 2022.

    [6]  Celik, M., and Olgun, N., " On The Classification Of Neutrosophic Complex Inner Product Spaces", Galoitica Journal Of Mathematical Structures And Applications, 2022.

    [7]  Aswad,  F,  M.,  "  A  Study  of  Neutrosophic  Complex  Number  and  Applications",  Neutrosophic Knowledge, Vol. 1, 2020.

    [8]  Smarandache, F., and Kandasamy, V.W.B., " Finite Neutrosophic Complex Numbers",·Source: arXiv. 2011.

    [9]  Agboola,  A.A.A.,  Akinola,  A.D.,  and  Oyebola,  O.Y.,  "  Neutrosophic  Rings  I"  ,  International J.Mathcombin, Vol 4,pp 1-14. 2011.

    [10]  Adeleke, E.O., Agboola, A.A.A.,and Smarandache, F., "Refined Neutrosophic Rings I", International Journal of Neutrosophic Science, Vol. 2(2), pp. 77-81. 2020.

    [11]  Smarandache, F., and Ali, M., "Neutrosophic Triplet Group", Neural. Compute. Appl. 2019.

    [12]  M.  Ibrahim.  A.  Agboola,  B.Badmus  and  S.  Akinleye.  On  refined  Neutrosophic  Vector  Spaces  . International Journal of Neutrosophic Science, Vol. 7, 2020, pp. 97 -109.

    [13]  Celik,  M.,  and  Hatip,  A.,  "  On  The  Refined  AH-Isometry  And  Its  Applications  In  Refined Neutrosophic Surfaces", Galoitica Journal Of Mathematical Structures And Applications, 2022.

    [14]  Chellamani,  P.,  and  Ajay,  D.,  "Pythagorean  neutrosophic  Fuzzy  Graphs",  International  Journal  of Neutrosophic Science, Vol. 11, 2021.

    [15]  Sankari,  H.,  and  Abobala,  M.,  "Solving  Three  Conjectures  About  Neutrosophic  Quadruple  Vector Spaces", Neutrosophic Sets and Systems, Vol. 38, pp. 70-77. 2020.

    [16]  Abobala, M.,. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces", International Journal of Neutrosophic Science", Vol. 9, pp.74-85. 2020.

    [17]  Abobala, M., "AH-Subspaces in Neutrosophic Vector Spaces", International Journal of Neutrosophic Science, Vol. 6 , pp. 80-86. 2020.

    Cite This Article As :
    M., Abuobida. , A., Yaser. , A., Raja. , Ali, Rozina. On the Split-Complex Neutrosophic Numbers and Their Algebraic Properties. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 25-32. DOI: https://doi.org/10.54216/IJNS.200303
    M., A. A., Y. A., R. Ali, R. (2023). On the Split-Complex Neutrosophic Numbers and Their Algebraic Properties. International Journal of Neutrosophic Science, (), 25-32. DOI: https://doi.org/10.54216/IJNS.200303
    M., Abuobida. A., Yaser. A., Raja. Ali, Rozina. On the Split-Complex Neutrosophic Numbers and Their Algebraic Properties. International Journal of Neutrosophic Science , no. (2023): 25-32. DOI: https://doi.org/10.54216/IJNS.200303
    M., A. , A., Y. , A., R. , Ali, R. (2023) . On the Split-Complex Neutrosophic Numbers and Their Algebraic Properties. International Journal of Neutrosophic Science , () , 25-32 . DOI: https://doi.org/10.54216/IJNS.200303
    M. A. , A. Y. , A. R. , Ali R. [2023]. On the Split-Complex Neutrosophic Numbers and Their Algebraic Properties. International Journal of Neutrosophic Science. (): 25-32. DOI: https://doi.org/10.54216/IJNS.200303
    M., A. A., Y. A., R. Ali, R. "On the Split-Complex Neutrosophic Numbers and Their Algebraic Properties," International Journal of Neutrosophic Science, vol. , no. , pp. 25-32, 2023. DOI: https://doi.org/10.54216/IJNS.200303

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