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

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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. http://fs.unm.edu/nss8/index.php/111/article/view/213