双Quantale模范畴  

The Category of Double Quantale Modules

作　　者：赵彬[1] 梁少辉[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062

出　　处：《数学学报（中文版）》2009年第4期821-832,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10871121);教育部高校青年教师奖基金项目(教人司[2000]26号)

摘　　要：首先介绍了双Quantale模的定义及其一些相关概念,在此基础上系统地讨论了双Quantale模范畴的性质,证明了此范畴是点化的、连通的.探讨了其中的等子、余等子、交、乘积和集体拉回,得到了双Quantale模范畴的极限结构.最后给出了双Quantale模范畴逆系统的定义,得到了逆系统的逆极限结构,引入了双Quantale模范畴逆系统之间映射的概念,并由此导出了逆极限之间的极限映射.In this paper, firstly, the definition of double quantale module is introduced, based on which, we prove that the category of double quantale modules is a pointed and connected category. Also, we study the equalizer, the coequalizer, the product, the collective pullback in the category of double quantale modules. Secondly, we give the structure of the limit of this category, so it is complete. At last, we talk about some properties of the inverse systems of the category of double quantale modules, we construct the inverse limit of the category of double quantale modules. Introducing the definition of a mapping between two inverse systems, we get the limit mapping in the category of double quantale modules.

关 键 词：双Quantale模同态 范畴 极限 

分 类 号：O153.1[理学—数学]