1
Faculty of Science, Tishreen University, Lattakia, Syria
(mohammadabobala777@gmail.com)
Abstract :
The aim of this paper is to define for the first time the concept of n-refined neutrosophic group. This work is devoted to study some elementary properties of n-refined neutrosophic groups and to establish the algebraic basis of this structure such as n-refined neutrosophic subgroups, n-refined neutrosophic homomorphisms, and n-refined neutrosophic isomorphisms.
Keywords :
n-Refined neutrosophic group , n-refined neutrosophic subgroup , n-refined neutrosophic homomorphism.
References :
[1] 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.
[2] Agboola, A.A.A., Akinola, A.D., and Oyebola, O.Y.," NeutrosophicRings I ", International J.Mathcombin, Vol. 4, pp. 1-14, 2011.
[3] Agboola, A.A.A., "On Refined Neutrosophic Algebraic Structures", Neutrosophic Sets and Systems, Vol. 10, pp. 99-102, 2015.
[4] Kandasamy, V.W.B., and Smarandache, F., "Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures", Hexis, Phonex, Arizona 2006.
[5] Smarandache, F., "Symbolic Neutrosophic Theory", EuropaNova asbl, Bruxelles, 2015.
[6] Smarandache, F., "n-Valued Refined Neutrosophic Logic and Its Applications in Physics", Progress in Physics, Vol. 4, pp.143-146, 2013.
[7] Smarandache, F., "Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies", Neutrosophic Sets ans Systems, Vol. 9, 2015.
[8] Deli, I., " Refined Neutrosophic Sets and Refined Neutrosophic Soft Sets: Theory and Applications", Hand Book of Research on generalized and Hybrid Set Structures and Applications for Soft Computing, 2016 [9] Smarandache, Florentin, n-Valued Refined Neutrosophic Logic and Its Applications in Physics, Progress in Physics, 143-146, Vol. 4, 2013; https://arxiv.org/ftp/arxiv/papers/1407/1407.1041.pdfhttp://fs.unm.edu/n-ValuedNeutrosophicLogic-PiP.pdf
| Style | # |
|---|---|
| MLA | Mohammad Abobala. "n-Refined Neutrosophic Groups I." International Journal of Neutrosophic Science, Vol. 0 - 2019, No. I - Vol 0, 2019 ,PP. 27-34 (Doi : https://doi.org/10.54216/IJNS.000103) |
| APA | Mohammad Abobala. (2019). n-Refined Neutrosophic Groups I. Journal of International Journal of Neutrosophic Science, 0 - 2019 ( I - Vol 0 ), 27-34 (Doi : https://doi.org/10.54216/IJNS.000103) |
| Chicago | Mohammad Abobala. "n-Refined Neutrosophic Groups I." Journal of International Journal of Neutrosophic Science, 0 - 2019 no. I - Vol 0 (2019): 27-34 (Doi : https://doi.org/10.54216/IJNS.000103) |
| Harvard | Mohammad Abobala. (2019). n-Refined Neutrosophic Groups I. Journal of International Journal of Neutrosophic Science, 0 - 2019 ( I - Vol 0 ), 27-34 (Doi : https://doi.org/10.54216/IJNS.000103) |
| Vancouver | Mohammad Abobala. n-Refined Neutrosophic Groups I. Journal of International Journal of Neutrosophic Science, (2019); 0 - 2019 ( I - Vol 0 ): 27-34 (Doi : https://doi.org/10.54216/IJNS.000103) |
| IEEE | Mohammad Abobala, n-Refined Neutrosophic Groups I, Journal of International Journal of Neutrosophic Science, Vol. 0 - 2019 , No. I - Vol 0 , (2019) : 27-34 (Doi : https://doi.org/10.54216/IJNS.000103) |