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.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11171196; 10871121).
Author NameAffiliation
Min LIU College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi 710062, P. R. China 
Bin ZHAO 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.
Citation:
DOI:10.3770/j.issn:2095-2651.2013.01.003
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