On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings

Authors

  • A.A.A Agboola Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
  • B. Davvaz Department of Mathematics, Yazd University, Yazd, Iran

Keywords:

neutrosophic canonical hypergroup, neutrosophic subcanonical hypergroup, neutrosophic hyperring, neutrosophic subhyperring, neutrosophic hyperideal.

Abstract

A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hypergroups and hyperrings in which addition and multiplication are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hypergroups and neutrosophic hyperrings are presented. Quotient neutrosophic canonical hypergroups and neutrosophic hyperrings are presented

Downloads

Download data is not yet available.

Downloads

Published

2014-05-05

Issue

Vol. 2 (2014): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Agboola, A., & Davvaz, B. . (2014). On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings. Neutrosophic Sets and Systems, 2, 34-41. https://fs.unm.edu/nss8/index.php/111/article/view/213