1
Faculty of Science, Tishreen University, Lattakia, Syria
(mohammadabobala777@gmail.com)
2
Department of Mathematics, Gaziantip University, Turkey
(kollnaar5@gmail.com )
3
Faculty of Science, Alfurat University, Deir Ezor, Syria
(riad-hamido1983@hotmail.com)
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.
| Style | # |
|---|---|
| MLA | Mohammad Abobala, Ahmed Hatip, Riad K. Alhamido. "A Contribution to Neutrosophic Groups." International Journal of Neutrosophic Science, Vol. 0 - 2019, No. II- Vol 0, 2019 ,PP. 67-76 (Doi : https://doi.org/10.54216/IJNS.000202) |
| APA | Mohammad Abobala, Ahmed Hatip, Riad K. Alhamido. (2019). A Contribution to Neutrosophic Groups. Journal of International Journal of Neutrosophic Science, 0 - 2019 ( II- Vol 0 ), 67-76 (Doi : https://doi.org/10.54216/IJNS.000202) |
| Chicago | Mohammad Abobala, Ahmed Hatip, Riad K. Alhamido. "A Contribution to Neutrosophic Groups." Journal of International Journal of Neutrosophic Science, 0 - 2019 no. II- Vol 0 (2019): 67-76 (Doi : https://doi.org/10.54216/IJNS.000202) |
| Harvard | Mohammad Abobala, Ahmed Hatip, Riad K. Alhamido. (2019). A Contribution to Neutrosophic Groups. Journal of International Journal of Neutrosophic Science, 0 - 2019 ( II- Vol 0 ), 67-76 (Doi : https://doi.org/10.54216/IJNS.000202) |
| Vancouver | Mohammad Abobala, Ahmed Hatip, Riad K. Alhamido. A Contribution to Neutrosophic Groups. Journal of International Journal of Neutrosophic Science, (2019); 0 - 2019 ( II- Vol 0 ): 67-76 (Doi : https://doi.org/10.54216/IJNS.000202) |
| IEEE | Mohammad Abobala, Ahmed Hatip, Riad K. Alhamido, A Contribution to Neutrosophic Groups, Journal of International Journal of Neutrosophic Science, Vol. 0 - 2019 , No. II- Vol 0 , (2019) : 67-76 (Doi : https://doi.org/10.54216/IJNS.000202) |