| 关于序半群理想的根 |
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| 引用本文： | 唐剑,谢祥云.关于序半群理想的根[J].数学研究及应用,2010,30(6):1048-1054. |
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| 作者姓名： | 唐剑 谢祥云 |
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| 作者单位： | 阜阳师范学院数学与计算科学学院, 安徽 阜阳 236041;五邑大学数学与计算科学学院, 广东 江门 529020 |
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| 基金项目： | 国家自然科学基金(Grant No.10961014);广东省自然科学基金(Grant No.0501332); 安徽省优秀青年人才基金(Grant No.2009SQRZ149);阜阳师范学院青年基金(Grant No.2008LQ11). |
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| 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.
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| 关 键 词： | ordered semigroup ideal archimedean（r-archimedean t-archimedean） ordered semigroup semilattice radical of an ideal. |
| 收稿时间： | 9/1/2008 12:00:00 AM |
| 修稿时间： | 1/5/2009 12:00:00 AM |
On Radicals of Ideals of Ordered Semigroups |
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| Jian TANG and Xiang Yun XIE.On Radicals of Ideals of Ordered Semigroups[J].Journal of Mathematical Research with Applications,2010,30(6):1048-1054. |
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| Authors: | Jian TANG and Xiang Yun XIE |
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| Institution: | 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 |
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| Abstract: | 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 $S$. |
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| Keywords: | ordered semigroup ideal archimedean ($r$-archimedean $t$-archimedean) ordered semigroup semilattice radical of an ideal |
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