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

Title

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.

[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.