Dimensions of triangulated categories via Koszul objects

被引：0
作者：
Petter Andreas Bergh
Srikanth B. Iyengar
Henning Krause
Steffen Oppermann
机构：
[1] NTNU,Institutt for Matematiske Fag
[2] University of Nebraska,Department of Mathematics
[3] Universität Paderborn,Institut für Mathematik
来源：
Mathematische Zeitschrift | 2010年 / 265卷
关键词：
Triangulated category; Koszul object; Representation dimension; 16E30; 16E40; 18E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Lower bounds for the dimension of a triangulated category are provided. These bounds are applied to stable derived categories of Artin algebras and of commutative complete intersection local rings. As a consequence, one obtains bounds for the representation dimensions of certain Artin algebras.
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页码：849 / 864
页数：15
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