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

页码：323 / 334

页数：12

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