The homotopy category of complexes of projective modules

被引:54
|
作者
Jorgensen, P [1 ]
机构
[1] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England
关键词
coherent ring; flat module; projective dimension; compactly generated triangulated category; derived category; dualizing complex;
D O I
10.1016/j.aim.2004.05.003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The homotopy category of complexes of projective left-modules over any reasonably nice ring is proved to be a compactly generated triangulated category, and a duality is given between its subcategory of compact objects and the finite derived category of right-modules. (c) 2004 Elsevier Inc. All rights reserved.
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页码:223 / 232
页数:10
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