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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 0 - 2019Issue II- Vol 0PP: 67-76 • 2019

A Contribution to Neutrosophic Groups

Mohammad Abobala 1* ,
Ahmed Hatip 2 ,
Riad K. Alhamido 3
1Faculty of Science, Tishreen University, Lattakia, Syria
2Department of Mathematics, Gaziantip University, Turkey
3Faculty of Science, Alfurat University, Deir Ezor, 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: March 15, 2019 Revised: May 17, 2019 Accepted: June 23, 2019

Abstract

The objective of this paper is to define some  new substructures (AH-substructures) in a neutrosophic group. Also, it deals with some elementary properties of AH-subgroups, AH-normality, AH-homomorphisms, AH-quotients and AH-direct products.

Keywords

Neutrosophic group AH- subgroup AH- homomorphism AH-quotient.

References

[1] Abobala, M., " n-Refined Neutrosophic Groups I", International Journal of Neutrosophic Science, Vol. 0, No. 1, pp.. 27-34, 2019

[2] Abobala, M., "n-Refined Neutrosophic Groups II", International Journal of Neutrosophic Science, Vol. 0, No. 1, pp. 47-56, 2019

 [3] 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.

[4] Agboola, A.A.A., Akinola, A.D., and Oyebola, O.Y.," Neutrosophic Rings I ", International J.Math combin, Vol. 4, pp. 1-14, 2011.

[5] Atanassov, K., "Intuitionistic Fuzzy Sets", Fuzzy Sets and Systems, 20(1), pp.87-96, 1971.

[6] Haushi, M., " Algebraic Structures 1", Tishreen University Press, pp. 102-209, 2005.

 [7] Kandasamy, V.W.B., and Smarandache, F., "Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures", Hexis, Phonex, Arizona 2006.

 [8] Smarandache, F.,  "Neutrosophy, Neutrosophic Probability, Set and Logic", Amer. Res Press, Rehoboth, USA, http://fs.gallup.unm.edu/eBook-neutrosophics6. pdf (sixth version). 1998. 

[9] Smarandache, F., " Neutrosophic Set, A Generalisation of the Intuitionistic Fuzzy Sets", Inter. J. Pure Appl. Math., 24, pp. 287-297, 2005.

[10] Wang, H., Zhang, Y., Sunderraman, R., and Smarandache, F., "Single Valued Neutrosophic Sets, Fuzzy Sets, Rough Sets and Multivalued Operations and Applications", 3(1), pp. 33-39, 2011.

 

[11] Rotman, J.,  "The Theory of Groups", University of Illinois, Urbana, pp. 120-180, 1971.

Cite This Article

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Abobala, Mohammad, Hatip, Ahmed, Alhamido, Riad K.. "A Contribution to Neutrosophic Groups." International Journal of Neutrosophic Science, vol. Volume 0 - 2019, no. Issue II- Vol 0, 2019, pp. 67-76. DOI: https://doi.org/10.54216/IJNS.000202
Abobala, M., Hatip, A., Alhamido, R. (2019). A Contribution to Neutrosophic Groups. International Journal of Neutrosophic Science, Volume 0 - 2019(Issue II- Vol 0), 67-76. DOI: https://doi.org/10.54216/IJNS.000202
Abobala, Mohammad, Hatip, Ahmed, Alhamido, Riad K.. "A Contribution to Neutrosophic Groups." International Journal of Neutrosophic Science Volume 0 - 2019, no. Issue II- Vol 0 (2019): 67-76. DOI: https://doi.org/10.54216/IJNS.000202
Abobala, M., Hatip, A., Alhamido, R. (2019) 'A Contribution to Neutrosophic Groups', International Journal of Neutrosophic Science, Volume 0 - 2019(Issue II- Vol 0), pp. 67-76. DOI: https://doi.org/10.54216/IJNS.000202
Abobala M, Hatip A, Alhamido R. A Contribution to Neutrosophic Groups. International Journal of Neutrosophic Science. 2019;Volume 0 - 2019(Issue II- Vol 0):67-76. DOI: https://doi.org/10.54216/IJNS.000202
M. Abobala, A. Hatip, R. Alhamido, "A Contribution to Neutrosophic Groups," International Journal of Neutrosophic Science, vol. Volume 0 - 2019, no. Issue II- Vol 0, pp. 67-76, 2019. DOI: https://doi.org/10.54216/IJNS.000202
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