Tilting preserves finite global dimension

被引：4

作者：

Keller, Bernhard ^{[1
]}

Krause, Henning ^{[2
]}

机构：

[1] Univ Paris, UFR Math, Inst Math Jussieu PRG, UMR 7586,CNRS, Case 7012,Batiment Sophie Germain, F-75205 Paris 13, France

[2] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

COMPTES RENDUS MATHEMATIQUE | 2020年 / 358卷 / 05期

关键词：

REPRESENTATION-THEORY; SHEAVES; CATEGORIES;

D O I：

10.5802/crmath.72

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a tilting object of the derived category of an abelian category of finite global dimension, we give (under suitable finiteness conditions) a bound for the global dimension of its endomorphism ring.

引用

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页码：563 / 570

页数：8

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