GOOD CONGRUENCES ON ABUNDANT SEMIGROUPS WITH QUASI-IDEAL ADEQUATE TRANSVERSALS

被引：2
|
作者：
Wang, Aifa [1 ]
机构：
[1] Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2019年 / 56卷 / 03期
关键词：
Abundant semigroup; adequate transversal; quasi-ideal transversal; congruence; congruence triple;
D O I：
10.1556/012.2019.56.3.1434
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to study the congruences on abundant semigroups with quasi-ideal adequate transversals. The good congruences on an abundant semigroup with a quasi-ideal adequate transversal S degrees are described by the equivalence triple abstractly which consists of equivalences on the structure component parts I, S degrees and Lambda. Also, it is shown that the set of all good congruences on this kind of semigroup forms a complete lattice.
引用
收藏
页码：323 / 334
页数：12
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