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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 9Issue 2PP: 74-85 • 2020

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

Mohammad Abobala 1*
1Faculty of Science, Tishreen University, Lattakia, Syria
* Corresponding Author.
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Open Access & Copyright

© 2020 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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&nbsp Neutrosophic vector space AH-subspace AHS-subspace AH-linear transformation

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] 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

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format_quote
Abobala, Mohammad. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces." International Journal of Neutrosophic Science, vol. Volume 9, no. Issue 2, 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, Volume 9(Issue 2), 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 Volume 9, no. Issue 2 (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, Volume 9(Issue 2), pp. 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. 2020;Volume 9(Issue 2):74-85. DOI: https://doi.org/10.54216/IJNS.090202
M. Abobala, "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces," International Journal of Neutrosophic Science, vol. Volume 9, no. Issue 2, pp. 74-85, 2020. DOI: https://doi.org/10.54216/IJNS.090202
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