一类正则单ω~2-半群-Ⅰ  

A Class of Regular Simple ω~2-semigroups-Ⅰ

作　　者：商宇[1] 汪立民[2] 

机构地区：[1]普洱学院数学与统计学院,普洱云南665000 [2]华南师范大学数学科学学院,广州广东510631

出　　处：《数学进展》2013年第5期631-643,共13页Advances in Mathematics（China）

基　　金：supported by NSFC(No.10901134);the Science Foundation of the Department of Education of Yunnan Province(No.2011Y478)

摘　　要：本文利用Bruck—Reilly扩张研究了满足条件D│Es=Md的正则单ω2-半群，获得了这类半群的结构定理．同时得到了这类半群的同构定理．In this paper, we study regular simple ω2-semigroups in which D│Es =Md by the Bruck-Reilly extension and obtain its structure theorem. We also obtain a criterion for isomorphisms of two such semigroups.

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]