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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access journal. All articles are freely available online with no APC.

International Journal of Neutrosophic Science
Full Length Article

Volume 0 - 2019Issue I - Vol 0PP: 27-34 • 2019

n-Refined Neutrosophic Groups I

Mohammad Abobala 1*
1Faculty of Science, Tishreen University, Lattakia, Syria
* Corresponding Author.
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Open Access & Copyright

© 2019 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: January 26, 2019 Revised: April 16, 2019 Accepted: May 13, 2019

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&nbsp 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.pdf

http://fs.unm.edu/n-ValuedNeutrosophicLogic-PiP.pdf

 

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Abobala, Mohammad. "n-Refined Neutrosophic Groups I." International Journal of Neutrosophic Science, vol. Volume 0 - 2019, no. Issue I - Vol 0, 2019, pp. 27-34. DOI: https://doi.org/10.54216/IJNS.000103
Abobala, M. (2019). n-Refined Neutrosophic Groups I. International Journal of Neutrosophic Science, Volume 0 - 2019(Issue I - Vol 0), 27-34. DOI: https://doi.org/10.54216/IJNS.000103
Abobala, Mohammad. "n-Refined Neutrosophic Groups I." International Journal of Neutrosophic Science Volume 0 - 2019, no. Issue I - Vol 0 (2019): 27-34. DOI: https://doi.org/10.54216/IJNS.000103
Abobala, M. (2019) 'n-Refined Neutrosophic Groups I', International Journal of Neutrosophic Science, Volume 0 - 2019(Issue I - Vol 0), pp. 27-34. DOI: https://doi.org/10.54216/IJNS.000103
Abobala M. n-Refined Neutrosophic Groups I. International Journal of Neutrosophic Science. 2019;Volume 0 - 2019(Issue I - Vol 0):27-34. DOI: https://doi.org/10.54216/IJNS.000103
M. Abobala, "n-Refined Neutrosophic Groups I," International Journal of Neutrosophic Science, vol. Volume 0 - 2019, no. Issue I - Vol 0, pp. 27-34, 2019. DOI: https://doi.org/10.54216/IJNS.000103
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