Binary relations, interval structures and join spaces
type: Item
instance of: scholarly article
title: Binary relations, interval structures and join spaces
zbMATH Open document ID: 1015.20052
DOI: 10.1007/BF02936218
author: P. Corsini
published in: Journal of Applied Mathematics and Computing
publication date: 2002-12-10T00:00:00Z
review text: An interval structure can be represented by a binary relation. A hyperoperation is defined on a set equipped with a binary relation. In this paper the hyperstructures based on the related interval structures are studied. Some necessary and sufficient conditions on these hyperstructures to be hypergroups, join spaces and \(H_v\)-groupoids are obtained.
Mathematics Subject Classification ID: 20N20
zbMATH DE Number: 1836028
zbMATH Keywords: hyperstructures
zbMATH Keywords: interval structures
zbMATH Keywords: hypergroups
zbMATH Keywords: join spaces
zbMATH Keywords: \(H_v\)-groupoids
reviewed by: Thomas Vougiouklis
MaRDI profile type: Publication
cites work: Q4839128
cites work: Q3137919
cites work: Hypergraphs and hypergroups
cites work: Q4542617
cites work: Hypergroups and binary relations
cites work: Q4513490
cites work: Q4003537
cites work: Q5680698
cites work: Q4513488
cites work: Q4317188
cites work: Q4697916
full work available at URL: https://doi.org/10.1007/bf02936218
OpenAlex ID: W2009056924
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description: scientific article; zbMATH DE number 1836028