245 147
Full Length Article
Volume 9 , Issue 2, PP: 74-85 , 2020

Title

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

Authors Names :   Mohammad Abobala   1  

1  Affiliation :  Faculty of Science, Tishreen University, Lattakia, Syria

    Email :  mohammadabobala777@gmail.com



Doi   :  10.5281/zenodo.3958086

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 Neutrosophic vector space , AH-subspace , AHS-subspace , AH-linear transformation

References :

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[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.

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[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.