Congruence Triples on Regular Semigroups and Their Generalizations

作     者：Li Min WANG Hui Yuan YANG 

作者机构：School of Mathematics South China Normal University Guangzhou 510631 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2011年第27卷第8期

页      面：1611-1620页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by National Natural Science Foundation of China (Grant No. 10571061) 

主　　题：Regular semigroup orthodox semigroup orthocryptogroup congruence normal equivalence 

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 nsing the equivalences on S/L, 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.