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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
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Volume 7 • Issue 1 • PP: 47-54 • 2020

n-Refined Neutrosophic Vector Spaces

Florentin Smarandache 1*
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Mohammad Abobala 2
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1Department of Mathematics and Science, University of New Mexico, Gallup, NM 87301, USA
2Tishreen University, Faculty of Science, Department of Mathematics, Lattakia, Syria
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.070104
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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.

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Smarandache, Florentin, Abobala, Mohammad. "n-Refined Neutrosophic Vector Spaces." International Journal of Neutrosophic Science, vol. Volume 7, no. Issue 1, 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, Volume 7(Issue 1), 47-54. DOI: https://doi.org/10.54216/IJNS.070104
Smarandache, Florentin, Abobala, Mohammad. "n-Refined Neutrosophic Vector Spaces." International Journal of Neutrosophic Science Volume 7, no. Issue 1 (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, Volume 7(Issue 1), pp. 47-54. DOI: https://doi.org/10.54216/IJNS.070104
Smarandache F, Abobala M. n-Refined Neutrosophic Vector Spaces. International Journal of Neutrosophic Science. 2020;Volume 7(Issue 1):47-54. DOI: https://doi.org/10.54216/IJNS.070104
F. Smarandache, M. Abobala, "n-Refined Neutrosophic Vector Spaces," International Journal of Neutrosophic Science, vol. Volume 7, no. Issue 1, pp. 47-54, 2020. DOI: https://doi.org/10.54216/IJNS.070104
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