Presented Dimensions on Recollements of Abelian Categories [阿贝尔范畴粘合上的表现维数] - 文章详情页

作者：

Yao, H. (Yao, H..) | Feng, Y. (Feng, Y..)

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Scopus PKU CSCD

摘要：

The　concept　of　presented　dimensions　in　Abelian　categories　was　introduced　and　the　relations　of　presented　dimensions　of　objects　in　a　short　exact　sequence　were　studied　in　this　paper.　Let　Rab(A,B,C)　be　a　recollement　of　Abelian　categories　where　A,B　and　C　are　Abelian　categories,　the　presented　dimension　of　B　is　finite　if　and　only　if　the　presented　dimensions　of　A　and　C　are　finite　under　certain　conditions,　was　proven.　©　2019,　Editorial　Department　of　Journal　of　Beijing　University　of　Technology.　All　right　reserved.

关键词：

Abelian category; Presented dimension; Recollement

作者机构：

[ 1 ] [Yao, H.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China
[ 2 ] [Feng, Y.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China

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