Congruences on glrac semigroups (I)

被引：8
|
作者：
Liu, Haijun [1 ]
Guo, Xiaojiang [1 ]
机构：
[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2022年 / 21卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Glrac semigroup; left restriction semigroup; left regular band; congruence; lattice; ABUNDANT SEMIGROUPS;
D O I：
10.1142/S0219498822502401
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The theory of congruences on semigroups is an important part in the theory of semigroups. The aim of this paper is to study (2,1)-congruences on a glrac semigroup. It is proved that the (2,1)-congruences on a glrac semigroup become a complete sublattice of its lattice of congruences. Especially, the structures of left restriction semigroup (2,1)-congruences and the projection-separating (2,1)-congruences on a glrac semigroup are established. Also, we demonstrate that they are both complete sublattice of (2,1)-congruences and consider their relations with respect to complete lattice homomorphism.
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页数：18
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