EventsThe 1st International Online Conference on Mathematics and Applications
Event submissions
Published
with-doi10.3390/IOCMA2023-14385
This submission belongs to the session S6. Algebra and Geometry with Applications to Related Fields of the event The 1st International Online Conference on Mathematics and Applications
Published date
28 Apr, 2023
Academic Editor
author-avatarAdolfo Ballester-Bolinches
Citation
Sonea Andromeda, A way to construct commutative hyperstructures, in Proceedings of The 1st International Online Conference on Mathematics and Applications, 1 May–15 May 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCMA2023-14385
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A way to construct commutative hyperstructures

Sonea Andromeda 1
1. University of Life Sciences, Iasi, Romania
Abstract

This article aims to create commutative hyperstructures, starting with a non-commutative group. So, we consider the starting group to be the dihedral group Dn, with n a natural number, n>1, and we determine the HX groups associated with the dihedral group. For a fixed number n, let Gn be the set of all HX groups. In this paper, we analyze this new structure's properties and find a connection between the divisors of n and the cardinality of Gn. Moreover, this new structure is commutative.

Keywords
HX groups
commutative
dihedral group
hyperstructure
Manuscript
sciforum_069572.pdf
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