Characterizations of (strongly) ordered regular relations on ordered semihypergroups

被引：3
|
作者：
Gu, Ze [1 ]
Tang, Xilin [2 ]
机构：
[1] Zhaoqing Univ, Sch Math & Stat, Zhaoqing 526061, Guangdong, Peoples R China
[2] South China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2016年 / 465卷
基金：
中国国家自然科学基金;
关键词：
Ordered semihypergroup; Ordered regular relation; Ordered semilattice relation; rho-chain; Convex set; Hyperideal; Hyperfilter; SEMIGROUPS; PSEUDOORDER;
D O I：
10.1016/j.jalgebra.2016.07.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give the fundamental normal homomorphism theorem of ordered semihypergroups. Moreover, we characterize the (strongly) ordered regular relations on an ordered semihypergroup by means of the rho-chain, and obtain that the set of all strongly ordered regular relations on an ordered semihypergroup consists a complete lattice. Finally, the subset of an ordered semihypergroup can serve as some ordered regular (ordered semilattice) relation class is determined. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：100 / 110
页数：11
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