Supported by the National Natural Science Foundation of China (Grant No.10961014);the Natural Science Foundation of Guangdong Province (Grant No.0501332);the Excellent Youth Talent Foundation of Anhui Province(Grant No.2009SQRZ149);the Youth Foundation of Fuyang Normal College (Grant No.2008LQ11)
Let S be an ordered semigroup.In this paper,we characterize ordered semigroups in which the radical of every ideal(right ideal,bi-ideal) is an ordered subsemigroup(resp.,ideal,right ideal,left ideal,bi-ideal,interi...
the National Natural Science Foundation of China (Nos.10626012; 103410020);the Jiangsu Planned for Postdoctoral Research Found (No.0502022B);the Natural Science Foundation of Guangdong Province (No.0501332);the Educational Department Natural Science Foundation of Guangdong Province (No.Z03070)
Which subset of an ordered semigroup S can serve as a congruence class of certain order-congruence on S is an important problem. XIE Xiangyun proved that if every ideal C of an ordered semigroup S is a congruence clas...