On strongly ordered congruences and decompositions of ordered semigroups

被引：1
|
作者：
Xie, Xiang-yun [1 ]
机构：
[1] Wuyi Univ, Dept Math & Phys, Jiangmen 529020, Guangdong, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2008年 / 15卷 / 04期
基金：
中国国家自然科学基金;
关键词：
ordered semigroup; regular congruence; strongly ordered congruence; direct product; subdirect product;
D O I：
10.1142/S1005386708000564
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the concept of a strongly ordered congruence on a directed ordered semigroup S. We prove that any strongly ordered congruence on S is a strongly regular congruence. We characterize the finite direct product, subdirect product and full subdirect product of ordered semigroups by using the concepts of strongly ordered congruence and regular congruence on an ordered semigroup S.
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页码：589 / 598
页数：10
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