Semihypergroups associated with ternary relations

被引：0
|
作者：
Mirvakili S. [1 ]
Anvariyeh S.M. [2 ]
Davvaz B. [2 ]
机构：
[1] Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran
[2] Department of Mathematics, Yazd University, Yazd
来源：
Afrika Matematika | 2018年 / 29卷 / 3-4期
关键词：
Hypergroup; Semihypergroup; Ternary relation;
D O I：
10.1007/s13370-018-0554-8
中图分类号：
学科分类号：
摘要：
Davvaz and Leoreanu-Fotea (Commun Algebra 38(10):3621–3636, 2010) studied binary relations on ternary semihypergroups. A ternary relation or triadic relation is a relation in which the number of places in the relation is three. Now, in this paper, instead of binary relations we consider ternary relations and instead of ternary semihypergroups we consider ordinary semihypergroups. Then, we study ternary relations on semihypergroups. In particular, we discuss some properties of compatible ternary relations on them. © 2018, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.
引用
收藏
页码：463 / 475
页数：12
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