范畴Ω-Cat的完备性  

The Completeness of Ω-Cat Category

作　　者：耿俊[1] 汤建钢[2] 聂晓艳[2] 

机构地区：[1]喀什师范学院数学系,新疆喀什844006 [2]伊犁师范学院数学与统计学院,新疆伊宁835000

出　　处：《模糊系统与数学》2012年第2期147-151,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11161050);新疆维吾尔自治区自然科学基金资助项目(2011211A051)

摘　　要：Ω-范畴具有范畴论和序理论的双重意义,可为计算机程序语言的语义提供量化的模型,本文研究了范畴Ω-Cat中的等值子和乘积,给出了范畴Ω-Cat中乘积的有点式和无点式刻画,证明了范畴Ω-Cat是完备范畴。Ω-category has category theory and order theory double meaning,which can provide a quantitative model for the semantics of computer programming languages. In this paper we researched the equalizer and product in the category of ΩCat,and given the Ω-valued product in two ways both pointed andnon-pointed.Furthermore,we proved that the Ω-Cat category is a complete category.

关 键 词：Ω-范畴 等值子 Ω-值乘积 完备范畴 

分 类 号：O159[理学—数学] O154[理学—基础数学]