On Hypergroup Homomorphism

Yasser AbouElwan; Wijdan Omar

doi:10.54361/ajmas.269525

On Hypergroup Homomorphism

Authors

Yasser AbouElwan Department of Mathematics, Faculty of Science, University of Omer Al Mukhtar, Al Bayda, Libya https://orcid.org/0009-0009-0157-9652
Wijdan Omar Department of Mathematics, Faculty of Science, University of Omer Al Mukhtar, Al Bayda, Libya https://orcid.org/0009-0004-0171-2680

DOI:

https://doi.org/10.54361/ajmas.269525

Keywords:

Hyperoperation, Semihypergroup, Quasihypergroup, Hypergroup, Hypergroup Homomorphism

Abstract

In this work, it has been proven that the kernel of a homomorphism between two hypergroups is not only a subhypergroup, but is precisely a normal subhypergroup, and the quotient of a hypergroup by that kernel is also a hypergroup. We use the kernel of a homomorphism between two groups to define hyper operation which make with that group a new hypergroup.

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Published

2026-05-17

How to Cite

AbouElwan Y, Wijdan Omar. On Hypergroup Homomorphism. Alq J Med App Sci [Internet]. 2026 May 17 [cited 2026 May 18];:1305-8. Available from: https://www.journal.utripoli.edu.ly/index.php/Alqalam/article/view/1609