• A Way to Construct Commutative...

*Result*: A Way to Construct Commutative Hyperstructures

Title:
A Way to Construct Commutative Hyperstructures
Authors:
Andromeda Sonea
Source:
Computer Sciences & Mathematics Forum, Vol 7, Iss 1, p 22 (2023)
Publisher Information:
MDPI AG
Publication Year:
2023
Collection:
Directory of Open Access Journals: DOAJ Articles
Subject Terms:
HX-groups, dihedral group, commutativity, hyperstructures, Electronic computers. Computer science, QA75.5-76.95
Document Type:
*Academic Journal* article in journal/newspaper
Language:
English
Relation:
https://www.mdpi.com/2813-0324/7/1/22; https://doaj.org/toc/2813-0324; https://doaj.org/article/2779b04cac0c439585e899d253685387
DOI:
10.3390/IOCMA2023-14385
Availability:
https://doi.org/10.3390/IOCMA2023-14385
https://doaj.org/article/2779b04cac0c439585e899d253685387
Accession Number:
edsbas.75A6D2CF
Database:
BASE

*Further Information*

*This article aims to create commutative hyperstructures, starting with a non-commutative group. Therefore, we consider the starting group to be the dihedral group <semantics> D n </semantics> , where n is a natural number, <semantics> n > 1 </semantics> , and we determine the HX groups associated with the dihedral group. For a fixed number n , we note <semantics> G n = <mfenced separators="" open="{" close="}"> G p 2 p 1 H X − groups , for any p 1 , p 2 ∈ N * such that n = p 1 p 2 </mfenced> </semantics> as the set of all HX groups. This paper analyses this new structure’s properties for particular cases when the dihedral group <semantics> D 4 </semantics> is the support group.*