A functorial approach to categorical resolutions  

作　　者：Rasool Hafezi Mohammad Hossein 

机构地区：[1]Keshavarz School of Mathematics,Institute for Research in Fundamental Sciences(IPM),Tehran 19395-5746,Iran

出　　处：《Science China Mathematics》2020年第10期2005-2016,共12页中国科学：数学（英文版）

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

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 resolution.This,in particular,implies that the bounded derived categories of Artin algebras of finite global dimension determine bounded derived categories of all Artin algebras.Hence,this paper can be considered as a typical application of functor categories,introduced in representation theory by Auslander(1971),to categorical resolutions.

关 键 词：categorical resolutions Artin algebras Auslander’s formula 

分 类 号：O174[理学—数学]