Nilpotent groups derived from hypergroups

被引：19

作者：

Aghabozorgi, H. ^{[1
]}

Davvaz, B. ^{[1
]}

Jafarpour, M. ^{[2
]}

机构：

[1] Yazd Univ, Dept Math, Yazd, Iran

[2] Vali E Asr Univ Rafsanjan, Dept Math, Rafsanjan, Iran

来源：

JOURNAL OF ALGEBRA | 2013年 / 382卷

关键词：

(Semi)hypergroup; Strongly regular relation; Transitive closure; Nilpotent group;

D O I：

10.1016/j.jalgebra.2013.02.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the smallest equivalence relation nu* on a hypergroup H such that the quotient H/nu*, the set of all equivalence classes, is a nilpotent group. The characterization of nilpotent groups via strongly regular relations is investigated and several results on the topic are presented. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：177 / 184

页数：8

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