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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 7 , Issue 1 , PP: 47-54, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

n-Refined Neutrosophic Vector Spaces

Florentin Smarandache 1 * , Mohammad Abobala 2

  • 1 Department of Mathematics and Science, University of New Mexico, Gallup, NM 87301, USA - (smarand@unm.edu)
  • 2 Tishreen University, Faculty of Science, Department of Mathematics, Lattakia, Syria - (mohammadabobala777@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.070104

    Abstract

    This paper introduces the concept of n-refined neutrosophic vector spaces as a generalization of neutrosophic vector spaces, and it studies elementary properties of them. Also, this work discusses some corresponding concepts such as weak/strong n-refined neutrosophic vector spaces, and n-refined neutrosophic homomorphisms.

     

    Keywords :

    n-Refined weak neutrosophic vector space, n-Refined strong neutrosophic vector space, n-Refined neutrosophic homomorphism.

    References

    [1]Abobala, M.,  "On Some Special Substructures of Neutrosophic Rings and Their Properties", International Journal of Neutrosophic Science", Vol 4, pp.72-81, 2020.

    [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]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.

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

    [6]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.

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

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

    [9]Olgan, N., and Khatib, A., "Neutrosophic Modules", Journal of Biostatistic and Biometric Application", Vol 3, 2018.

    [10]Smarandache, F., "Symbolic Neutrosophic Theory", EuropaNovaasbl, Bruxelles, 2015.

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

     

    [12]Smarandache, F., and Abobala, M., "n-RefinedNeutrosophic Rings", International Journal of Neutrosophic Science, Vol. 5, pp.83-90 , 2020.

    Cite This Article As :
    Smarandache, Florentin. , Abobala, Mohammad. n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science, vol. , no. , 2020, pp. 47-54. DOI: https://doi.org/10.54216/IJNS.070104
    Smarandache, F. Abobala, M. (2020). n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science, (), 47-54. DOI: https://doi.org/10.54216/IJNS.070104
    Smarandache, Florentin. Abobala, Mohammad. n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science , no. (2020): 47-54. DOI: https://doi.org/10.54216/IJNS.070104
    Smarandache, F. , Abobala, M. (2020) . n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science , () , 47-54 . DOI: https://doi.org/10.54216/IJNS.070104
    Smarandache F. , Abobala M. [2020]. n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science. (): 47-54. DOI: https://doi.org/10.54216/IJNS.070104
    Smarandache, F. Abobala, M. "n-Refined Neutrosophic Vector Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 47-54, 2020. DOI: https://doi.org/10.54216/IJNS.070104

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