N-ary hypergroups

被引：0
作者：
Davvaz, B. [1 ]
Vougiouklis, T. [2 ]
机构：
[1] Yazd Univ, Dept Math, Yazd, Iran
[2] Democritus Univ Thrace, Sch Sci & Educ, Alexandroupolis, Greece
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2006年 / 30卷 / A2期
关键词：
hypergroup; n-ary hypergroup; n-ary group; fundamental equivalence relation;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper the class of n-ary hypergroups is introduced and several properties are found and examples are presented. n-ary hypergroups are a generalization of hypergroups in the sense of Marty. On the other hand, we can consider n-ary hypergroups as a good generalization of n-ary groups. We define the fundamental relation beta* on an n-ary hypergroup H as the smallest equivalence relation such that H/beta* is the n-ary group, and then some related properties are investigated.
引用
收藏
页码：165 / +
页数：11
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