| Closure Operators and Closure Systems on Quantaloid-Enriched Categories |
| Received:September 14, 2011 Revised:December 19, 2011 |
| Key Words:
quantaloid enriched category closure operator closure system adjunction.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11171196; 10871121). |
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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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.01.003 |
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