Engel groups derived from hypergroups

This paper deals with hypergroups, as a generalization of classical groups. An important tool in the theory of hyperstructures is the fundamental relation, which brings us into the classical algebra. In this paper we introduce the smallest equivalence relation ξ∗ on a given hypergroup H such that th...

Full description

Saved in:
Bibliographic Details
Published inEuropean journal of combinatorics Vol. 44; pp. 191 - 197
Main Authors Ameri, R., Mohammadzadeh, E.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2015
Subjects
Algebra
Combinatorial analysis
Equivalence
Quotients
Online AccessGet full text

Cover

More Information
Summary:This paper deals with hypergroups, as a generalization of classical groups. An important tool in the theory of hyperstructures is the fundamental relation, which brings us into the classical algebra. In this paper we introduce the smallest equivalence relation ξ∗ on a given hypergroup H such that the quotient H/ξ∗, the set of all equivalence classes, is an Engel group. We will characterize Engle groups via strongly regular relations and several results on the topic are presented.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0195-6698
1095-9971
DOI:10.1016/j.ejc.2014.08.004