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Closure Operators and Closure Systems on Quantaloid-Enriched Categories

Closure Operators and Closure Systems on Quantaloid-Enriched Categories
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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. 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.
作者 Min LIU Bin ZHAO
出处 《Journal of Mathematical Research with Applications》 CSCD 2013年第1期23-34,共12页 数学研究及应用(英文版)
基金 Supported by the National Natural Science Foundation of China(Grant Nos.11171196 10871121)
关键词 quantaloid enriched category closure operator closure system adjunction. quantaloid enriched category closure operator closure system adjunction.
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