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

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2011年 / 215卷 / 04期

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

页码：420 / 438

页数：19

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