Congruence triples on regular semigroups and their generalizations

被引：0
|
作者：
Wang, Li Min [1 ]
Yang, Hui Yuan [1 ]
机构：
[1] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Regular semigroup; orthodox semigroup; orthocryptogroup; congruence; normal equivalence;
D O I：
10.1007/s10114-011-8449-8
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 VT-congruence triples on a regular semigroup S and show how such triples can be constructed by using the equivalences on S/a"', S/R and the special congruences on S. Also, such congruence triples are characterized so that an associated congruence can be uniquely determined by a given congruence triple. Moreover, we also consider the VH-congruence pairs on an orthocryptogroup.
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页码：1611 / 1620
页数：10
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