Direct and semidirect product of n-ary polygroups via n-ary factor polygroups

被引：2
|
作者：
Shehu, Lumnije [1 ]
Davvaz, Bijan [2 ]
机构：
[1] Univ Jordan, Dept Math, Amman, Jordan
[2] Yazd Univ, Dept Math, Yazd, Iran
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 05期
关键词：
Hypergroup; n-ary polygroup; normal n-ary subpolygroup; direct product; semidirect product; COMBINATORIAL ASPECTS; FUNDAMENTAL RELATIONS; HYPERGROUPS;
D O I：
10.1142/S0219498819500828
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define an equivalence relation induced by n-ary subpolygroups and show that such relation is full conjugation when n-ary subpolygroup is normal. Then, we introduce a construction and some properties of direct product of n-ary polygroups via n-ary factor polygroups. This construction in principle is enlargement of elements of n-ary polygroup except zero. Finally, we introduce and investigate the semidirect product of n-ary polygroups via n-ary factor polygroups.
引用
收藏
页数：20
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