完全正则半群的可裂子半群  

Breakable Subsemigroups of a Completely Regular Semigroup

作　　者：余保民 朱天民 YU Baomin;ZHU Tianmin(School of Mathematics and Physics, Weinan Normal University, Weinan 714099, China)

机构地区：[1]渭南师范学院数理学院

出　　处：《重庆理工大学学报（自然科学）》2019年第9期233-236,共4页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(11571278);陕西省自然科学基础研究计划项目(2017JM1044,2014JM2-1004);渭南师范学院自然科学研究项目(18YKS10)

摘　　要：研究了完全正则半群的可裂子半群。首先利用完全正则半群的结构和性质,研究了完全正则半群的满足条件a1a2a3∈{a1,a2,a3}的子半群的性质,给出了这一类子半群的刻画;在此基础上,结合完全单半群的性质,给出了可裂子半群的刻画。Breakable subsemigroups of a completely regular semigroup are studied. Firstly,by using the structure and properties of completely regular semigroups,some properties of subsemigroups satisfying a1 a2 a3∈{ a1,a2,a3} are discussed,and a characterization of these subsemigroups of a completely regular semigroup is given. Based on these results,and together with properties of completely simple semigroups,a characterization of breakable subsemigroups of a completely regular semigroup is obtained.

关 键 词：完全正则半群 完全单半群 可裂半群 幂等元 

分 类 号：O152.7[理学—数学]