正则ω~2-半群  

Regular ω~2-semigroups

作　　者：商宇 冯莹莹 汪立民[3] SHANG Yu1, FENG Ying-ying2 , WANG Li-min3(1. School of Mathematics and Statistics, Puer University, Puer 665000, China ; 2.School of Mathematics and Big Data, Foshan University, Foshan 528000, China ; 3.School of Mathematics, South China Normal University, Guangzhou 510631, Chin)

机构地区：[1]普洱学院数学与统计学院,云南普洱665000 [2]佛山科学与技术学院数学与大数据学院,广东佛山528000 [3]华南师范大学数学科学学院,广东广州510631

出　　处：《云南大学学报（自然科学版）》2018年第3期415-422,共8页Journal of Yunnan University(Natural Sciences Edition)

基　　金：普洱学院创新团队基金(CXTD003)

摘　　要：正则ω~2-半群可分为有核和无核2种情况.获得了无核的正则ω~2-半群的一个刻画,并给出具有真核的正则ω~2-半群的结构定理以及相应于这一结构的同构定理.Regular ω^2-semigroups can be divided into two kinds,one with kernel and the other without kernels.A characterization for regular semigroups without kernels is obtained in this paper.Then the structure theorem for regular ω^2-semigroups with a proper kernel,and the isomorphism theorem corresponding to this structure are also presented.

关 键 词：正则半群 ω^2-半群 核 同构 

分 类 号：O152.7[理学—数学]