A generalized Clifford theorem of semigroups

作     者：SHUM K.P. 

作者机构：Department of MathematicsThe University of Hong Kong 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2010年第53卷第10期

页      面：1097-1101页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (Grant Nos.10671151,10971160,10871161) Natural Science Foundation of of Shaanxi Province (Grant No.SJ08A06) a grant of Wu Jiehyee Charitable Foundation,Hong Kong 2007/09 

主　　题：Clifford theorem unions of groups superabundant semigroups U-abundant semigroups Usuperabundant semigroups 

摘      要：A U-abundant semigroup S in which every H-class of S contains an element in the set of projections U of S is said to be a U-superabundant *** is an analogue of regular semigroups which are unions of groups and an analogue of abundant semigroups which are *** 1941,Clifford proved that a semigroup is a union of groups if and only if it is a semilattice of completely simple *** years later,Fountain generalized this result to the class of superabundant *** this paper,we extend their work to U-superabundant semigroups.