258 156
Full Length Article
Volume 10 , Issue 1, PP: 09-22 , 2020

Title

Introduction to Neutrosophic Hypernear-rings

Authors Names :   M.A. Ibrahim   1 *     A.A.A. Agboola   2  

1  Affiliation :  Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria

    Email :  muritalaibrahim40@gmail.com


2  Affiliation :  Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria

    Email :  agboolaaaa@funaab.edu.ng



Doi   :  10.5281/zenodo.4001123

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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