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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 22 , Issue 3 , PP: 119-127, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5

Abuobida M. Ahmed Alfahal 1 * , Sara Sawalmeh 2 , Raja Abdullah Abdulfatah 3 , Yaser Ahmad Alhasan 4

  • 1 Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia - (a.alfahal@psau.edu.sa)
  • 2 Mutah University, Faculty of Science, Mutah, Jordan - (Sarahsawalmeh98@gmail.com)
  • 3 Deanship the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia - (r.abdulfatah@psau.edu.sa)
  • 4 Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia - (y.alhasan@psau.edu.sa)

    • Doi: https://doi.org/10.54216/IJNS.220308

    Received: May 06, 2023 Revised: July 10, 2023 Accepted: October 13, 2023
    Abstract

    This paper is dedicated to studying some examples of n-refined neutrosophic groups and their algebraic substructures, where we deal with three different types of them, 3-refined, 4-refined, and 5-refined neutrosophic groups. Also, we present the algebraic structure of many substructures such as 3-refined neutrosophic AH-subgroups and kernels, 4-refined neutrosophic AH-homomorphisms and subgroups, and 5-refined neutrosophic AH-isomorphisms. On the other hand, many related examples will be provided to explain the algebraic concepts and their properties.

    Keywords :

    3-refined neutrosophic group , 4-refined neutrosophic group , 5-refined neutrosophic group.

    References

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    [4] Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

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    [7] Hatip, A., and Abobala, M., "AH-Substructures In Strong Refined Neutrosophic Modules", International Journal of Neutrosophic Science, Vol. 9, pp. 110-116 . 2020.

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    [16] Ahmad, K., Thjeel, N., AbdulZahra, M., and Jaleel, R., " On The Classification of n-Refined Neutrosophic Rings And Its Applications In Matrix Computing Algorithms And Linear Systems", International Journal Of Neutrosophic Science, 2022.

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    Cite This Article As :
    M., Abuobida. , Sawalmeh, Sara. , Abdullah, Raja. , Ahmad, Yaser. On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 119-127. DOI: https://doi.org/10.54216/IJNS.220308
    M., A. Sawalmeh, S. Abdullah, R. Ahmad, Y. (2023). On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5. International Journal of Neutrosophic Science, (), 119-127. DOI: https://doi.org/10.54216/IJNS.220308
    M., Abuobida. Sawalmeh, Sara. Abdullah, Raja. Ahmad, Yaser. On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5. International Journal of Neutrosophic Science , no. (2023): 119-127. DOI: https://doi.org/10.54216/IJNS.220308
    M., A. , Sawalmeh, S. , Abdullah, R. , Ahmad, Y. (2023) . On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5. International Journal of Neutrosophic Science , () , 119-127 . DOI: https://doi.org/10.54216/IJNS.220308
    M. A. , Sawalmeh S. , Abdullah R. , Ahmad Y. [2023]. On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5. International Journal of Neutrosophic Science. (): 119-127. DOI: https://doi.org/10.54216/IJNS.220308
    M., A. Sawalmeh, S. Abdullah, R. Ahmad, Y. "On Some n-Refined Neutrosophic Groups For 3≤ n ≤ 5," International Journal of Neutrosophic Science, vol. , no. , pp. 119-127, 2023. DOI: https://doi.org/10.54216/IJNS.220308

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