Volume 10 , Issue 1 , PP: 09-22, 2020 | Cite this article as | XML | Html | PDF | Full Length Article
M.A. Ibrahim 1 * , A.A.A. Agboola 2
Doi: https://doi.org/10.54216/IJNS.0100101
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.
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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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