| Quantaloid-enriched 范畴上的闭包算子与闭包系统 |
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| 引用本文： | 刘敏,赵彬.Quantaloid-enriched 范畴上的闭包算子与闭包系统[J].数学研究及应用,2013,33(1):23-34. |
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| 作者姓名： | 刘敏 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，陕西 西安710062;陕西师范大学数学与信息科学学院，陕西 西安710062 |
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| 基金项目： | 国家自然科学基金 (Grant Nos.11171196; 10871121). |
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| 摘 要： | In this paper, we introduce the fundamental notions of closure operator and closure system in the framework of quantaloid-enriched category. We mainly discuss the relationship between closure operators and adjunctions and establish the one-to-one correspondence between closure operators and closure systems on quantaloid-enriched categories.
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| 关 键 词： | quantaloid enriched category closure operator closure system adjunction. |
| 收稿时间： | 2011/9/14 0:00:00 |
| 修稿时间： | 2011/12/19 0:00:00 |
Closure Operators and Closure Systems on Quantaloid-Enriched Categories |
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| Min LIU and Bin ZHAO.Closure Operators and Closure Systems on Quantaloid-Enriched Categories[J].Journal of Mathematical Research with Applications,2013,33(1):23-34. |
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| Authors: | Min LIU and Bin ZHAO |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University,Shaanxi 710062, P.R.China |
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| Abstract: | In this paper, we introduce the fundamental notions of closure operator and closure system in the framework of quantaloid-enriched category. We mainly discuss the relationship between closure operators and adjunctions and establish the one-to-one correspondence between closure operators and closure systems on quantaloid-enriched categories. |
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| Keywords: | quantaloid enriched category closure operator closure system adjunction |
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