International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 4 , Issue 2 , PP: 72-81, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

On Some Special Substructures of Neutrosophic Rings and Their Properties

Mohammad Abobala 1 *

  • 1 Tishreen University, Faculty of Science, Syria - (ohammadabobala777@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.040201

    Abstract

    In this paper we introduce the notions of AH-ideal and AHS-ideal as new kinds of neutrosophic substructures defined in a neutrosophic ring. We investigate the properties of these substructures and some related concepts as AH-weak  principal ideal, AH-weak prime ideal and AH-weak maximal ideal.

    Keywords :

    Neutrosophic ring, AH-ideal, AHS-ideal, Neutrosophic substructure, AHS-homomorphism.

    References

     

    [1]       Adeleke, E.O., Agboola, A.A.A., and Smarandache, F., "Refined Neutrosophic Rings I", International Journal of  Neutrosophic Science, Vol 2 , pp 77-81, 2020.

    [2]       Adeleke, E.O., Agboola, A.A.A., and Smarandache, F., "Refined Neutrosophic Rings II", International Journal of  Neutrosophic Science, Vol 2, pp 89-94, 2020.

    [3]       Agboola, A.A.A., Adeleke, E.O., and Akinlye, S.A., "Neutrosophic Rings II ", International J.Math combin, vol(2), pp 1-8, 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]       Agboola, A.A.A., and Davvaz, B.," On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings", Neutrosphic Sets and Systems, Vol 2, pp 34-41, 2014.

    [6]       Chalapathi, T., Kumar, K., "Neutrosophic Graphs of Finite Groups", Neutrosophic Sets and Systems, vol 15, pp.22-30, 2017.

    [7]       Chalabathi, T., and Kumar, K.,"Neutrosophic Units of Neutrosophic Rings and Fields", Neutrosophic Sets and Systems, vol 21, pp 5-9, 2018.

    [8]       Haushi, M., "Algebraic Structures 2 ", Tishreen University Press, pp 132-190,2004.

    [9]       VasanthaKandasamy W.B and Florentine Smarandache, "Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures", Hexis, Phonex, Arizona 2006.

    Cite This Article As :
    Abobala, Mohammad. On Some Special Substructures of Neutrosophic Rings and Their Properties. International Journal of Neutrosophic Science, vol. , no. , 2020, pp. 72-81. DOI: https://doi.org/10.54216/IJNS.040201
    Abobala, M. (2020). On Some Special Substructures of Neutrosophic Rings and Their Properties. International Journal of Neutrosophic Science, (), 72-81. DOI: https://doi.org/10.54216/IJNS.040201
    Abobala, Mohammad. On Some Special Substructures of Neutrosophic Rings and Their Properties. International Journal of Neutrosophic Science , no. (2020): 72-81. DOI: https://doi.org/10.54216/IJNS.040201
    Abobala, M. (2020) . On Some Special Substructures of Neutrosophic Rings and Their Properties. International Journal of Neutrosophic Science , () , 72-81 . DOI: https://doi.org/10.54216/IJNS.040201
    Abobala M. [2020]. On Some Special Substructures of Neutrosophic Rings and Their Properties. International Journal of Neutrosophic Science. (): 72-81. DOI: https://doi.org/10.54216/IJNS.040201
    Abobala, M. "On Some Special Substructures of Neutrosophic Rings and Their Properties," International Journal of Neutrosophic Science, vol. , no. , pp. 72-81, 2020. DOI: https://doi.org/10.54216/IJNS.040201