International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 0 - 2019 , Issue II- Vol 0 , PP: 67-76, 2019 | Cite this article as | XML | Html | PDF | Full Length Article

A Contribution to Neutrosophic Groups

Mohammad Abobala 1 * , Ahmed Hatip 2 , Riad K. Alhamido 3

  • 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)
  • Doi: https://doi.org/10.54216/IJNS.000202

    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 As :
    Abobala, Mohammad. , Hatip, Ahmed. , K., Riad. A Contribution to Neutrosophic Groups. International Journal of Neutrosophic Science, vol. , no. , 2019, pp. 67-76. DOI: https://doi.org/10.54216/IJNS.000202
    Abobala, M. Hatip, A. K., R. (2019). A Contribution to Neutrosophic Groups. International Journal of Neutrosophic Science, (), 67-76. DOI: https://doi.org/10.54216/IJNS.000202
    Abobala, Mohammad. Hatip, Ahmed. K., Riad. A Contribution to Neutrosophic Groups. International Journal of Neutrosophic Science , no. (2019): 67-76. DOI: https://doi.org/10.54216/IJNS.000202
    Abobala, M. , Hatip, A. , K., R. (2019) . A Contribution to Neutrosophic Groups. International Journal of Neutrosophic Science , () , 67-76 . DOI: https://doi.org/10.54216/IJNS.000202
    Abobala M. , Hatip A. , K. R. [2019]. A Contribution to Neutrosophic Groups. International Journal of Neutrosophic Science. (): 67-76. DOI: https://doi.org/10.54216/IJNS.000202
    Abobala, M. Hatip, A. K., R. "A Contribution to Neutrosophic Groups," International Journal of Neutrosophic Science, vol. , no. , pp. 67-76, 2019. DOI: https://doi.org/10.54216/IJNS.000202