具有Clifford断面的纯正半群(英文)  

ORTHODOX SEMIGROUPS WITH A CLIFFORD TRANSVERSAL

作　　者：李勇华[1] 

机构地区：[1]华南师范大学数学系,广东广州510631

出　　处：《数学杂志》2005年第6期618-624,共7页Journal of Mathematics

基　　金：SupportedbytheNationalNaturalScienceFoundationofChina(19970128);NaturalScienceFoundationsofGuangdongProvince[(011438)(021073),China(Z02017)]

摘　　要：本文研究有Clifford断面的纯正半群.为了获得主要的结构定理,证明了纯正半群有群断面当且仅当它是矩形群;利用半格和矩形带,建立了有Clifford断面的纯正半群的结构.This paper explores the construction of orthodox semigroups with a Clifford transversal. To obtain the main result,it is proved first that an orthodox semigroup has a group transversal if and only if it is a rectangular group. Next,by using a semilattice and rectangular groups, at a construction of orthodox semigroups with a Clifford transversal is built.

关 键 词：纯正半群 群断面 Clifford断面 矩形群 

分 类 号：O152.7[理学—数学]