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
Quantaloid-enriched 范畴上的闭包算子与闭包系统
Closure Operators and Closure Systems on Quantaloid-Enriched Categories
投稿时间:2011-09-14  最后修改时间:2011-12-19
DOI:10.3770/j.issn:2095-2651.2013.01.003
中文关键词:  Quantaloid  Enriched category  闭包算子  闭包系统  伴随.
英文关键词:quantaloid  enriched category  closure operator  closure system  adjunction.
基金项目:国家自然科学基金 (Grant Nos.11171196; 10871121).
作者单位
刘敏 陕西师范大学数学与信息科学学院陕西 西安710062 
赵彬 陕西师范大学数学与信息科学学院陕西 西安710062 
摘要点击次数: 1436
全文下载次数: 1771
中文摘要:
      本文在Quantaloid-enriched范畴中引入闭包算子和闭包系统等概念.主要讨论了Quantaloid-enriched范畴中的闭包算子与伴随之间的关系,建立了闭包算子与闭包系统之间的一一对应关系.
英文摘要:
      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.
查看全文  查看/发表评论  下载PDF阅读器