＊-双单型A半群(英文)  

*-bisimple Type A Semigroups

作　　者：李勇华[1] 乐文[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《数学进展》2014年第3期341-354,共14页Advances in Mathematics（China）

基　　金：Program on International Cooperation and Innovation,Department of Education,Guangdong Province(No.2012gjhz0007)

摘　　要：一个逆半群如果只有一个D-类,则称为双单逆半群.一个型A半群只有一个D*-类和一个正则D-类,则称为*-双单型A半群.本文采用McAlister的刻画双单逆半群的方法([Proc.London Math.Soc.,1974,28(2):193-221]),用一致半格和可消幺半群建立了*-双单型A半群的结构.An inverse semigroup is said to be bisimple if it contains precisely one ：D-class. A type A semigroup is called a ＊-bisimple type A semigroup if it contains pricisely one ：D＊-class and one regular ：D-class. In this paper, as an analogue of McAlister＇s method （[Proc. London Math. Soc., 1974, 28（2）： 193-221]） which describes bisimple inverse semigroups, we characterize the structure of ,-bisimple type A semigroups in terms of uniform semilattices and cancellative monoids.

关 键 词：双单逆半群 富足半群 恰当半群 ＊-双单型A半群 

分 类 号：O152.7[理学—数学]