内蕴群范畴中的乘积性质  

The Product Properties of Internal Group Category

作　　者：张凯强 汤建钢[1] ZHANG Kaiqiang;TANG Jiangang(College of Mathematics and Statistics,Yili Normal University,Yining 835000,Xinjiang)

机构地区：[1]伊犁师范学院数学与统计学院,新疆伊宁835000

出　　处：《四川师范大学学报（自然科学版）》2018年第5期635-640,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11161050)

摘　　要：从范畴的角度出发,引入内蕴群范畴的概念,讨论内蕴群范畴中的乘积性质,证明关于乘积封闭的范畴的内蕴群范畴也是乘积封闭的.In this paper,from the perspective of categories,we introduced the concept of the internal group category and discussed the product properties of the internal group category.At last,we proved that the internal group category of product closed category is also product closed.

关 键 词：内蕴群范畴 乘积 封闭性 

分 类 号：O152[理学—数学] O154.1[理学—基础数学]