360 212
Full Length Article
Volume 0 - 2019 , Issue I - Vol 0, PP: 27-34 , 2019

Title

n-Refined Neutrosophic Groups I

Authors Names :   Mohammad Abobala   1 *  

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

    Email :  mohammadabobala777@gmail.com



Doi   :  10.5281/zenodo.3908405

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 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