| 关于交换序半群的一个注记 |
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| 引用本文： | 许新斋,曹勇,李秀明.关于交换序半群的一个注记[J].数学研究,2007,40(2):139-142. |
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| 作者姓名： | 许新斋 曹勇 李秀明 |
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| 作者单位： | 1. 山东师范大学数学科学学院,济南,250014
2. 山东政法管理干部学院司法信息系,济南,250014 |
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| 摘 要： | 给出了正则交换序半群的与素理想结构有关的若干性质，还给出了为有限个主理想的并的交换序半群类中的诺特性，阿基米德性，正则性以及有限生成性之间的一些关系。
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| 关 键 词： | 主理想 阿基米德交换序半群 正则交换序半群 |
| 修稿时间： | 2005-02-27 |
A Note on Commutative Ordered Semigroups |
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| Xu Xinzhai,Cao Yong,Li Xiuming.A Note on Commutative Ordered Semigroups[J].Journal of Mathematical Study,2007,40(2):139-142. |
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| Authors: | Xu Xinzhai Cao Yong Li Xiuming |
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| Institution: | 1. School of Mathematical Sciences, Shandong Normal University,Jinan 250014; 2. Department of Judicial Information, Shandong Politico-Legality Management Cadre Institute, Jinan 250014 |
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| Abstract: | In this paper, we give some properties of regular commutative ordered semigroups relative to its prime ideal structure and give also some relations among the noetherianity,archimedeanity, regularity and the finitely generated property in the class of commutative ordered semigroups which are unions of a finite number of principal ideals. |
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| Keywords: | principal ideal archimedean commutative ordered semigroup regular commutative ordered semigroup |
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