具有ω_(d,d′)-型D关系的正则单ω^(2)-半群  

Regular Simpleω^(2)-Semigroups withωd,d′-Type D elation

作　　者：商宇 冯莹莹 SHANG Yu;FENG Yingying(School of Mathematics and Statistics,Puer University,Puer 665000,China;Department of Mathematics,Foshan University,Foshan 528000,China)

机构地区：[1]普洱学院数学与统计学院,普洱665000 [2]佛山科学技术学院数学与大数据学院,佛山528000

出　　处：《华南师范大学学报（自然科学版）》2024年第4期116-122,共7页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11901088);普洱学院一流课程(2023YLKCZD010)。

摘　　要：为得到正则单ω^(2)-半群构造的刻画,研究了具有ω_(d,d′)-型D关系的正则单ω^(2)-半群:从群的长度为(d,d′)的ω-链及其到群的同态出发,借助Bruck-Reilly扩张,获得了具有ω_(d,d′)-型D关系的正则单ω^(2)-半群;证明了任一个具有ω_(d,d′)-型D关系的正则单ω^(2)-半群都可以用Bruck-Reilly扩张构造出来,得到了这类半群的结构定理。To obtain the characterization of regular simpleω^(2)-semigroups,the regular simpleω^(2)-semigroups withω_(d,d′)-type D relations are studied.Starting from theω-chains of groups with length(d,d′)and the homomorphism from theω-chains of groups with length(d,d′)to the group,by using Bruck-Reilly expansion,the regular simpleω^(2)-semigroups withω_(d,d′)-type D relations are obtained.It is proved that any regular simpleω^(2)-semigroup withω_(d,d′)-type D relations can be constructed by Bruck-Reilly extension,and the structure theorem of this kind of semi-groups is obtained.

关 键 词：正则半群 单ω^(2)-半群 Bruck-Reilly扩张 

分 类 号：O152.7[理学—数学]