On Radicals of Ideals of Ordered Semigroups  

作　　者：Jian TANG Xiang Yun XIE 

机构地区：[1]School of Mathematics and Computational Science,Fuyang Normal College,Anhui 236041,P.R.China [2]School of Mathematics and Computational Science,Wuyi University,Guangdong 529020,P.R.China

出　　处：《Journal of Mathematical Research and Exposition》2010年第6期1048-1054,共7页数学研究与评论（英文版）

基　　金：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)

摘　　要：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.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.

关 键 词：ordered semigroup IDEAL archimedean（r-archimedean t-archimedean） ordered semigroup SEMILATTICE radical of an ideal. 

分 类 号：O152.7[理学—数学]