一类广义正则半群的幺半群同余  

The Monoid Congruences on a Class of Generalised Regular Semigroups

作　　者：刘海军 LIU Haijun(School of Mathematics and Statistics,Shaoguan University,Shaoguan Guangdong 512005,China)

机构地区：[1]韶关学院数学与统计学院,广东韶关512005

出　　处：《江西师范大学学报(自然科学版)》2024年第5期514-516,共3页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11761034);2023年度韶关市支持科研工作者课题(230324098034834);2023年韶关学院校级科研课题(SZ2023KJ09);韶关学院博士科研启动基金(4069900064603)资助项目.

摘　　要：作为(2,1)-型代数的左限制半群是一类广义正则半群,它是逆半群和左适当半群的共同推广.该文主要研究在左限制半群上的幺半群同余,给出这类同余的等价刻画和完备满同态定理.As algebras of type(2,1),left restriction semigroups are not only generalised regular semigroups but also the common generalisations of inverse and left ample semigroups.The main aim of this paper is to investigate the monoid congruences on left restriction semigroups.After obtaining some equivalent characterizations,the complete epimorphism theorem is established with respect to monoid congruences.

关 键 词：左限制半群 幺半群 2 1-同余 

分 类 号：O152.7[理学—数学]