International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 0 - 2019 , Issue I - Vol 0 , PP: 27-34, 2019 | Cite this article as | XML | Html | PDF | Full Length Article

n-Refined Neutrosophic Groups I

Mohammad Abobala 1 *

  • 1 Faculty of Science, Tishreen University, Lattakia, Syria - (mohammadabobala777@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.000103

    Received: January 26, 2019 Revised: April 16, 2019 Accepted: May 13, 2019
    Abstract

    The aim of this paper is to define for the first time the concept of n-refined neutrosophic group. This work is devoted to study some elementary properties of n-refined neutrosophic groups and to establish the algebraic basis of this structure such as n-refined neutrosophic subgroups, n-refined neutrosophic homomorphisms, and n-refined neutrosophic isomorphisms.

    Keywords :

    n-Refined  , neutrosophic group, n-refined neutrosophic subgroup, n-refined neutrosophic homomorphism.

    References

     [1] Agboola, A.A.A,. Akwu, A.D,. and Oyebo, Y.T,. "Neutrosophic Groups and Subgroups", International .J .Math.Combin, Vol. 3, pp. 1-9, 2012.

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

    [3] Agboola, A.A.A., "On Refined Neutrosophic Algebraic Structures", Neutrosophic Sets and Systems, Vol. 10, pp. 99-102, 2015.

     [4] Kandasamy, V.W.B., and Smarandache, F., "Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures", Hexis, Phonex, Arizona 2006.

     [5] Smarandache, F., "Symbolic Neutrosophic Theory", EuropaNova asbl, Bruxelles, 2015.

    [6] Smarandache, F., "n-Valued Refined Neutrosophic Logic and Its Applications in Physics", Progress in Physics, Vol. 4, pp.143-146, 2013.

    [7] Smarandache, F., "Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies", Neutrosophic Sets ans Systems, Vol. 9, 2015.

    [8] Deli, I., " Refined Neutrosophic Sets and Refined Neutrosophic Soft Sets: Theory and Applications", Hand Book of Research on generalized and Hybrid Set Structures and Applications for Soft Computing, 2016

    [9] Smarandache, Florentin, n-Valued Refined Neutrosophic Logic and Its Applications in Physics, Progress in Physics, 143-146, Vol. 4, 2013; https://arxiv.org/ftp/arxiv/papers/1407/1407.1041.pdf

    http://fs.unm.edu/n-ValuedNeutrosophicLogic-PiP.pdf

     

    Cite This Article As :
    Abobala, Mohammad. n-Refined Neutrosophic Groups I. International Journal of Neutrosophic Science, vol. , no. , 2019, pp. 27-34. DOI: https://doi.org/10.54216/IJNS.000103
    Abobala, M. (2019). n-Refined Neutrosophic Groups I. International Journal of Neutrosophic Science, (), 27-34. DOI: https://doi.org/10.54216/IJNS.000103
    Abobala, Mohammad. n-Refined Neutrosophic Groups I. International Journal of Neutrosophic Science , no. (2019): 27-34. DOI: https://doi.org/10.54216/IJNS.000103
    Abobala, M. (2019) . n-Refined Neutrosophic Groups I. International Journal of Neutrosophic Science , () , 27-34 . DOI: https://doi.org/10.54216/IJNS.000103
    Abobala M. [2019]. n-Refined Neutrosophic Groups I. International Journal of Neutrosophic Science. (): 27-34. DOI: https://doi.org/10.54216/IJNS.000103
    Abobala, M. "n-Refined Neutrosophic Groups I," International Journal of Neutrosophic Science, vol. , no. , pp. 27-34, 2019. DOI: https://doi.org/10.54216/IJNS.000103