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...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,interior ideal） by using some binary relations on S.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No.10961014)the Natural Science Foundation of Guangdong Province (Grant No.0501332)+1 种基金the Excellent Youth Talent Foundation of Anhui Province(Grant No.2009SQRZ149)the Youth Foundation of Fuyang Normal College (Grant No.2008LQ11)
文摘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,interior ideal） by using some binary relations on S.
