| 序半群的Quantale完备化 |
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| 引用本文： | 韩胜伟赵彬. 序半群的Quantale完备化[J]. 数学学报, 2008, 51(6): 1081-108 |
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| 作者姓名： | 韩胜伟赵彬 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 |
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| 摘 要： | 首先定义了集合上的闭包算子,研究了闭包算子的若干性质;其次给出了序半群的Quantale完备化,证明了序半群的Quantale完备化在同构意义下完全由序半群上的拓扑闭包决定;最后给出了序半群Quantale完备化的一个应用.
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| 关 键 词： | 闭包算子 序半群 Quantale同态 |
| 收稿时间： | 2007-03-14 |
The Quantale Completion of Order Semigroup |
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| Affiliation: | College of Mathematics and Information Science, Shaanxi Normal University,Xi'an 710062, P. R. ChinaCollege of Mathematics and Information Science, Shaanxi Normal University,Xi'an 710062, P. R. China |
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| Abstract: | Firstly, the concept ofclosure operator on a set is introduced; some properties ofclosure operator were obtained. Secondly, the quantale completionof ordered semigroup is given; it was proved that the quantalecompletions of ordered semigroup up to isomorphism were completelydetermined by topological closure operators on ordered semigroup.Finally, an application of the quantale completion of orderedsemigroup is given. |
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| Keywords: | closure operator ordered semigoup Quantale homomorphism |
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