1
Faculty of Science, Tishreen University, Lattakia, Syria
(mohammadabobala777@gmail.com)
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 :
[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.
Style | # |
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MLA | Mohammad Abobala. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces." International Journal of Neutrosophic Science, Vol. 9, No. 2, 2020 ,PP. 74-85 (Doi : https://doi.org/10.54216/IJNS.090202) |
APA | Mohammad Abobala. (2020). A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces. Journal of International Journal of Neutrosophic Science, 9 ( 2 ), 74-85 (Doi : https://doi.org/10.54216/IJNS.090202) |
Chicago | Mohammad Abobala. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces." Journal of International Journal of Neutrosophic Science, 9 no. 2 (2020): 74-85 (Doi : https://doi.org/10.54216/IJNS.090202) |
Harvard | Mohammad Abobala. (2020). A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces. Journal of International Journal of Neutrosophic Science, 9 ( 2 ), 74-85 (Doi : https://doi.org/10.54216/IJNS.090202) |
Vancouver | Mohammad Abobala. A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces. Journal of International Journal of Neutrosophic Science, (2020); 9 ( 2 ): 74-85 (Doi : https://doi.org/10.54216/IJNS.090202) |
IEEE | Mohammad Abobala, A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces, Journal of International Journal of Neutrosophic Science, Vol. 9 , No. 2 , (2020) : 74-85 (Doi : https://doi.org/10.54216/IJNS.090202) |