ON CORSINI HYPERGROUPS AND THEIR PRODUCTIONAL HYPERGROUPS

被引：6

作者：

Al Tahan, M. ^{[1
]}

Davvaz, B. ^{[2
]}

机构：

[1] Lebanese Int Univ, Dept Math, Bekaa, Lebanon

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

来源：

KOREAN JOURNAL OF MATHEMATICS | 2019年 / 27卷 / 01期

关键词：

Corsini hypergroup; Fundamental group;

D O I：

10.11568/kjm.2019.27.1.63

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a special hypergroup defined by Corsini and we name it Corsini hypergroup. First, we investigate some of its properties and find a necessary and sufficient condition for the productional hypergroup of Corsini hypergroups to be a Corsini hypergroup. Next, we study its regular relations, fundamental group and complete parts. Finally, we characterize all Corsini hypergroups of orders two and three up to isomorphism.

引用

页码：63 / 80

页数：18

共 20 条

[1] On some properties of single power cyclic hypergroups and regular relations [J].