Gorenstein derived categories

被引：89
|
作者：
Gao, Nan [2 ]
Zhang, Pu [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2010年 / 323卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Gorenstein-projective modules; Gorenstein derived categories; Gorenstein derived equivalences; MODULES;
D O I：
10.1016/j.jalgebra.2010.01.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Gorenstein derived categories are defined, and the relation with the usual derived categories is given. The bounded Corenstein derived categories of Gorenstein rings and of finite-dimensional algebras are explicitly described via the homotopy categories of Gorenstein-projective modules, and some applications are obtained. Gorenstein derived equivalences between CM-finite Gorenstein algebras are discussed. (C) 2010 Elsevier Inc. All rights reserved.
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页码：2041 / 2057
页数：17
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