Quantaloid-enriched 范畴上的闭包算子与闭包系统

Closure Operators and Closure Systems on Quantaloid-Enriched Categories

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.

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.