泛态射范畴的平凡扩张  

The Trivial Extension of Universal Arrow Categories

作　　者：黄菊 HUANG Ju(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院

出　　处：《闽南师范大学学报（自然科学版）》2019年第4期5-8,共4页Journal of Minnan Normal University：Natural Science

基　　金：福建省中青年教师教育科研项目(JT180290);福建省教育教学改革研究项目(FBJG20180021,FBJG20190017)

摘　　要：设C,D是加法范畴,S:D→C,F:C→C是两个加法函子,且范畴C关于S具有足够多泛态射,则平凡扩张范畴C×F具有足够多的泛态射.进一步地,得到泛态射范畴的平凡扩张与范畴的平凡扩张的泛态射范畴等价.LetC,Dbe two additive categories,S:D→C,F:C→Cbe two additive functors,andCrelated to S has enough universal arrows,then the trivial extension ofChas enough universal arrows.Further,It gets an equivalence between the trivial extension of an universal arrow category and the universal arrow category of the trivial extension of a category.

关 键 词：加法范畴 泛态射范畴 平凡扩张 

分 类 号：O154.1[理学—数学]