The structure of superabundant semigroups

作     者：K.P.Shum 

作者机构：2.Faculty of ScienceThe Chinese University of Hong KongHong KongChina structure theorem for superabundant semigroups in terms of semilattices of normalized Rees matrix semigroups over some cancellative monoids is obtained. This result not only provides a construction method for superabundant semigroups but also generalizes the well-known result of Petrich on completely regular semigroups. Some results obtained by Fountain on abundant semigroups are also extended and strengthened. 

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

年 卷 期：2004年第47卷第5期

页      面：756-771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：UGC(HK) grant((2003/2004) 2060187) 

主　　题：superabundant semigroups, completely regular semigroups, normalized Roes matrix semigroups. 

摘      要：A structure theorem for superabundant semigroups in terms of semilattices of normalized Rees matrix semigroups over some cancellative monoids is obtained. This result not only provides a construction method for superabundant semigroups but also generalizes the well-known result of Petrich on completely regular semigroups. Some results obtained by Fountain on abundant semigroups are also extended and strengthened.