Infinite hypergroups having a finite number of proper hyperproducts
type: Item
instance of: scholarly article
title: Infinite hypergroups having a finite number of proper hyperproducts
zbMATH Open document ID: 0832.20085
DOI: 10.1007/BF02844821
publication date: 1995-12-13T00:00:00Z
review text: For non-commutative hypergroups a theorem of P. Corsini (1980) is proved: If \((H, \cdot)\) is an infinite hypergroup with finite set of hyperproducts of cardinality greater than 1, then there exists \((a,b) \in H^2\) with \(\text{card} (a\cdot b) = \text{card }H\). Moreover, all hypergroups having at most two proper hyperproducts are determined. Therefore, these hypergroups include the very thin ones.
Mathematics Subject Classification ID: 20N20
zbMATH DE Number: 722327
zbMATH Keywords: non-commutative hypergroups
zbMATH Keywords: infinite hypergroup
zbMATH Keywords: finite set of hyperproducts
zbMATH Keywords: proper hyperproducts
author: Marin Guţan
reviewed by: Thomas Vougiouklis
MaRDI profile type: Publication
cites work: Q3699940
cites work: Q3718946
cites work: Q4126563
cites work: Q5331572
cites work: Q3041432
cites work: Q4505214
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 722327