A functorial approach to categorical resolutions

作     者：Rasool Hafezi Mohammad Hossein Rasool Hafezi;Mohammad Hossein Keshavarz

作者机构：Keshavarz School of MathematicsInstitute for Research in Fundamental Sciences(IPM)Tehran 19395-5746Iran 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2020年第63卷第10期

页      面：2005-2016页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by a grant from Institute for Research in Fundamental Sciences(IPM)(Grant No.98130021) 

主　　题：categorical resolutions Artin algebras Auslander’s formula 

摘      要：Using a relative version of Auslander’s formula,we give a functorial approach to show that the bounded derived category of every Artin algebra admits a categorical ***,in particular,implies that the bounded derived categories of Artin algebras of finite global dimension determine bounded derived categories of all Artin ***,this paper can be considered as a typical application of functor categories,introduced in representation theory by Auslander(1971),to categorical resolutions.