Hypersemilattice Strongly Regular Relationson Ordered Semihypergroups

被引：0
|
作者：
TANG JIAN [1 ]
XIE XIANG-YUN [2 ]
机构：
[1] School of Mathematics and Statistics, Fuyang Normal University
[2] School of Mathematics and Computational Science, Wuyi University
来源：
CommunicationsinMathematicalResearch | 2019年 / 35卷 / 02期
关键词：
ordered semihypergroup; strongly regular relation; hyperfilter;
D O I：
10.13447/j.1674-5647.2019.02.03
中图分类号：
O152.7 [群的推广];
学科分类号：
摘要：
In this paper, we ?rst consider the regular and strongly regular relations on ordered semihypergroups in detail. In particular, we introduce the concepts of the hypersemilattice strongly regular relations and complete hypersemilattice strongly regular relations on ordered semihypergroups, and investigate their related properties.Furthermore, the properties of hyper?lters of an ordered semihypergroup are studied,and several related applications are given. Especially, we prove that the equivalence relation N on an ordered semihypergroup S is the least complete hypersemilattice strongly regular relation on S.
引用
收藏
页码：115 / 128
页数：14
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