Recollements and tilting objects

被引:48
|
作者
Angeleri Hugel, Lidia [2 ]
Koenig, Steffen [1 ]
Liu, Qunhua [1 ]
机构
[1] Univ Cologne, Math Inst, D-50931 Cologne, Germany
[2] Univ Verona, Dipartimento Informat Settore Matemat, I-37134 Verona, Italy
关键词
WILD HEREDITARY ALGEBRAS; PERPENDICULAR CATEGORIES; MODULES; REPRESENTATIONS; LOCALIZATION; SHEAVES; TORSION;
D O I
10.1016/j.jpaa.2010.04.027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study connections between recollements of the derived category D(Mod R) of a ring R and tilting theory We first provide constructions of tilting objects from given recollements recovering several different results from the literature Secondly we show how to construct a recollement from a tilting module of projective dimension one By Nicolas and Saorin (2009) [31] every recollement of D(Mod R) is associated to a differential graded homological epimorphism lambda R -> S We will focus on the case where lambda is a homological ring epimorphism or even a universal localization Our results will be employed in a forthcoming paper in order to investigate stratifications of D(mod R) (C) 2010 Elsevier B V All rights reserved
引用
收藏
页码:420 / 438
页数:19
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