International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 10 , Issue 1 , PP: 09-22, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

Introduction to Neutrosophic Hypernear-rings

M.A. Ibrahim 1 * , A.A.A. Agboola 2

  • 1 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria - (muritalaibrahim40@gmail.com)
  • 2 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria - (agboolaaaa@funaab.edu.ng)
  • Doi: https://doi.org/10.54216/IJNS.0100101

    Received: April 25, 2020 Accepted: August 01, 2020
    Abstract

    This paper is concerned with the introduction of neutrosophic hypernear-rings. The concept of Neutrosophic A-hypergroup of a hypernear-ring A; neutrosophic A(I)-hypergroup of a neutrosophic hypernear-ring A(I) and their respective neutrosophic substructures are defined. We investigate and present some interesting results arising from the study of hypernear-rings in neutrosophic environment. It is shown that a constant Neutrosophic hypernear-ring in general is not a constant hypernear-ring. In addition, we consider the neutrosophic ideals, neutrosophic homomorphism and neutrosophic quotient hypernear-rings of neutrosophic hypernear-rings. 

    Keywords :

      ,

    neutrosophy, neutrosophic hypernear-ring, neutrosophic A-hypergroup, neutrosophic A(I)-hypergroup, neutrosophic A-subhypergroup, neutrosophic A(I)-subhypergroup, neutrosophic

    hyperideals, neutrosophic hypernear-ring homomorphism, neutrosophic A-hypergroup homomorphism.

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    Cite This Article As :
    Ibrahim, M.A.. , Agboola, A.A.A.. Introduction to Neutrosophic Hypernear-rings. International Journal of Neutrosophic Science, vol. , no. , 2020, pp. 09-22. DOI: https://doi.org/10.54216/IJNS.0100101
    Ibrahim, M. Agboola, A. (2020). Introduction to Neutrosophic Hypernear-rings. International Journal of Neutrosophic Science, (), 09-22. DOI: https://doi.org/10.54216/IJNS.0100101
    Ibrahim, M.A.. Agboola, A.A.A.. Introduction to Neutrosophic Hypernear-rings. International Journal of Neutrosophic Science , no. (2020): 09-22. DOI: https://doi.org/10.54216/IJNS.0100101
    Ibrahim, M. , Agboola, A. (2020) . Introduction to Neutrosophic Hypernear-rings. International Journal of Neutrosophic Science , () , 09-22 . DOI: https://doi.org/10.54216/IJNS.0100101
    Ibrahim M. , Agboola A. [2020]. Introduction to Neutrosophic Hypernear-rings. International Journal of Neutrosophic Science. (): 09-22. DOI: https://doi.org/10.54216/IJNS.0100101
    Ibrahim, M. Agboola, A. "Introduction to Neutrosophic Hypernear-rings," International Journal of Neutrosophic Science, vol. , no. , pp. 09-22, 2020. DOI: https://doi.org/10.54216/IJNS.0100101