| 序半群Quantale完备化的进一步结果 |
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| 引用本文： | 夏常春,赵彬,韩胜伟. 序半群Quantale完备化的进一步结果[J]. 数学学报, 2018, 61(5): 811-822 |
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| 作者姓名： | 夏常春 赵彬 韩胜伟 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 西安 710119 |
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| 基金项目： | 国家自然科学基金重点项目（11531009）;中央高校基本科研业务费专项资金项目（GK201501001） |
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| 摘 要： | 本文给出了序半群上幂集Quantale的最大拓扑闭包的具体形式,即序半群的最小Quantale完备化.在此基础上,证明了Quantale范畴Quant是序半群范畴OSGrp*的满的反射子范畴.最后,给出了序半群Quantale完备化的一个应用.
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Some Further Results on Quantale Completions of Ordered Semigroups |
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| Chang Chun XIA,Bin ZHAO,Sheng Wei HAN. Some Further Results on Quantale Completions of Ordered Semigroups[J]. Acta Mathematica Sinica, 2018, 61(5): 811-822 |
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| Authors: | Chang Chun XIA Bin ZHAO Sheng Wei HAN |
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| Affiliation: | School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, P. R. China |
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| Abstract: | The main result of this paper is to give the concrete form of the largest topological closure of the power-set Quantale over an ordered semigroup. Based on which, it is proved that the category Quant of Quantale is a fully reflective subcategory of the category OSGrp of ordered semigroups. Finally, we give an application for the Quantale completions of ordered semigroups. |
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| Keywords: | category ordered semigroup regular congruence topological closure Quantale completion |
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