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International Journal of Neutrosophic Science
Volume 7 , Issue 1, PP: 47-54 , 2020 | Cite this article as | XML | Html |PDF

Title

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 :
Style #
MLA Florentin Smarandache, Mohammad Abobala. "n-Refined Neutrosophic Vector Spaces." International Journal of Neutrosophic Science, Vol. 7, No. 1, 2020 ,PP. 47-54 (Doi   :  https://doi.org/10.54216/IJNS.070104)
APA Florentin Smarandache, Mohammad Abobala. (2020). n-Refined Neutrosophic Vector Spaces. Journal of International Journal of Neutrosophic Science, 7 ( 1 ), 47-54 (Doi   :  https://doi.org/10.54216/IJNS.070104)
Chicago Florentin Smarandache, Mohammad Abobala. "n-Refined Neutrosophic Vector Spaces." Journal of International Journal of Neutrosophic Science, 7 no. 1 (2020): 47-54 (Doi   :  https://doi.org/10.54216/IJNS.070104)
Harvard Florentin Smarandache, Mohammad Abobala. (2020). n-Refined Neutrosophic Vector Spaces. Journal of International Journal of Neutrosophic Science, 7 ( 1 ), 47-54 (Doi   :  https://doi.org/10.54216/IJNS.070104)
Vancouver Florentin Smarandache, Mohammad Abobala. n-Refined Neutrosophic Vector Spaces. Journal of International Journal of Neutrosophic Science, (2020); 7 ( 1 ): 47-54 (Doi   :  https://doi.org/10.54216/IJNS.070104)
IEEE Florentin Smarandache, Mohammad Abobala, n-Refined Neutrosophic Vector Spaces, Journal of International Journal of Neutrosophic Science, Vol. 7 , No. 1 , (2020) : 47-54 (Doi   :  https://doi.org/10.54216/IJNS.070104)