On the derived dimension of abelian categories

被引：0

作者：

Asadollahi, Javad ^{[1
,2
]}

Hafezi, Rasool ^{[2
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

KYOTO JOURNAL OF MATHEMATICS | 2014年 / 54卷 / 03期

关键词：

GENERATORS;

D O I：

10.1215/21562261-2693496

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an upper bound on the dimension of the bounded derived category of an abelian category. We show that if X is a sufficiently nice subcategory of an abelian category, then the derived dimension of A is at most X-dimA, provided that X-dimA is greater than one. We provide some applications.

引用

页码：693 / 702

页数：10

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