International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 9 , Issue 2 , PP: 74-85, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces

Mohammad Abobala 1

  • 1 Faculty of Science, Tishreen University, Lattakia, Syria - (mohammadabobala777@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.090202

    Received: April 23, 2020 Accepted: July 19, 2020
    Abstract

    The aim of this paper is to define and study for the first time AH-substructures in n-refined neutrosophic vector spaces such as weak/strong AH-subspaces, and weak/strong AH-linear transformations between two n-refined neutrosophic vector spaces. Also, this paper introduces some elementary properties of these concepts. 

    Keywords :

    n-Refined  , Neutrosophic vector space , AH-subspace, AHS-subspace, AH-linear transformation

    References

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    [2] Abobala, M., "On Some Special Substructures of Refined Neutrosophic Rings", International Journal of     Neutrosophic Science, Vol. 5, pp. 59-66, 2020.

    [3] Abobala, M,. "Classical Homomorphisms Between Refined Neutrosophic Rings and Neutrosophic Rings", International Journal of Neutrosophic Science, Vol. 5, pp. 72-75, 2020.

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

    [5] Abobala, M., " Classical Homomorphisms Between n-Refined neutrosophic Rings", International Journal of Neutrosophic Science, Vol. 7 , pp. 74-78, 2020.

    [6] Adeleke, E.O., Agboola, A.A.A., and Smarandache, F., "Refined Neutrosophic Rings II", International Journal of  Neutrosophic Science, Vol. 2, pp. 89-94, 2020.

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

    [8] Agboola, A.A.A,. and Akinleye, S.A,. "Neutrosophic Vector Spaces", Neutrosophic Sets and Systems, Vol. 4 , pp. 9-17, 2014.

    [9] 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.

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

    [11] T. Bera., and N. K. Mahapatra., On Neutrosophic Soft Field, IJMTT, 56(7), pp. 472-494, 2018.            

    [12]  T. Bera., and N. K. Mahapatra., On Neutrosophic Soft Linear Spaces, Fuzzy Information and Engineering., 9, 299-324, (2017). 

    [13] Injrou, S., "Linear Algebra 2 ", Tishreen University Press, pp 180-230, 2015.

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

    [15] Smarandache, F., and Abobala, M., "n-Refined Neutrosophic Rings", International Journal of Neutrosophic Science, Vol. 6, pp. 83-90 , 2020.

     

    [16] Smarandache F., and Abobala, M., "n-Refined Neutrosophic Vector Spaces", International Journal of Neutrosophic Science, Vol. 7, pp. 47-54, 2020.

    Cite This Article As :
    Abobala, Mohammad. A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science, vol. , no. , 2020, pp. 74-85. DOI: https://doi.org/10.54216/IJNS.090202
    Abobala, M. (2020). A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science, (), 74-85. DOI: https://doi.org/10.54216/IJNS.090202
    Abobala, Mohammad. A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science , no. (2020): 74-85. DOI: https://doi.org/10.54216/IJNS.090202
    Abobala, M. (2020) . A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science , () , 74-85 . DOI: https://doi.org/10.54216/IJNS.090202
    Abobala M. [2020]. A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science. (): 74-85. DOI: https://doi.org/10.54216/IJNS.090202
    Abobala, M. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 74-85, 2020. DOI: https://doi.org/10.54216/IJNS.090202