具有拟理想恰当断面的富足半群(英文)  

Abundant Semigroups With Quasi-ideal Adequate Transversals

作　　者：孔祥军[1] 

机构地区：[1]曲阜师范大学数学科学学院,曲阜山东273165

出　　处：《数学进展》2008年第1期31-40,共10页Advances in Mathematics（China）

基　　金：This work is supported by the Shandong Provincial Natural Science Foundation(No．Y2005A11);the Science Research Foundation of Qufu Normal University．

摘　　要：利用格林*-关系刻画R和L并给出与它们相关的一些性质.利用R和L,得到恰当断面是拟理想的几个等价条件.最后,用两个结构构件R和L给出具有拟理想恰当断面的富足半群的一个结构定理.它比陈建飞在2000年给出的要简单.This paper describes R and L by Green＇s ＊-relations and gives some properties associated with them. By using R and L, some equivalent conditions for adequate transversal to be a quasi-ideal are obtained. Finally, we give a structure theorem for abundant semigroups with quasi-ideal adequate transversals by two components R and L. It is simpler than that Chen gave in 2000.

关 键 词：富足半群 恰当断面 格林＊-关系 拟理想 

分 类 号：O152.7[理学—数学]