365 205
Full Length Article
Volume 7 , Issue 1, PP: 47-54 , 2020


n-Refined Neutrosophic Vector Spaces

Authors Names :   Florentin Smarandache   1 *     Mohammad Abobala   2  

1  Affiliation :  Department of Mathematics and Science, University of New Mexico, Gallup, NM 87301, USA

    Email :  smarand@unm.edu

2  Affiliation :  Tishreen University, Faculty of Science, Department of Mathematics, Lattakia, Syria

    Email :  mohammadabobala777@gmail.com

Doi   :  10.5281/zenodo.3876216

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.

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[12]Smarandache, F., and Abobala, M., "n-RefinedNeutrosophic Rings", International Journal of Neutrosophic Science, Vol. 5, pp.83-90 , 2020.