Idempotent completion of triangulated categories

被引：185

作者：

Balmer, P

Schlichting, M

机构：

[1] Univ Munster, SFB, D-48149 Munster, Germany

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

JOURNAL OF ALGEBRA | 2001年 / 236卷 / 02期

关键词：

idempotent complete (karoubian; pseudo-abelian) triangulated category; derived motivic category;

D O I：

10.1006/jabr.2000.8529

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the idempotent completion of a triangulated category has a natural structure of a triangulated category. The idempotent completion of the bounded derived category of an exact category gives the derived category of the idempotent completion. In particular, the derived category of an idempotent complete exact category is idempotent complete. (C) 2001 Academic Press.

引用

页码：819 / 834

页数：16

共 11 条

[1] [Anonymous], 1982, ASTERISQUE
[2] BOKSTEDT M, 1993, COMPOS MATH, V86, P209
[3] CHAIN COMPLEXES AND STABLE CATEGORIES
KELLER, B
[J]. MANUSCRIPTA MATHEMATICA, 1990, 67 (04) : 379 - 417
[4] Keller B., 1996, Handbook of algebra, V1, P671
[5] LEVINE M, 1998, MATH SURVEYS MONOGRA, V57
[6] THE DERIVED CATEGORY OF AN EXACT CATEGORY
NEEMAN, A
[J]. JOURNAL OF ALGEBRA, 1990, 135 (02) : 388 - 394
[7] Quillen D., 1973, Lecture Notes in Math., V341, P85, DOI 10.1007/BFb0067053
[8] DERIVED CATEGORIES AND STABLE EQUIVALENCE
RICKARD, J
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1989, 61 (03) : 303 - 317
[9] Thomason R. W., 1990, Progr. Math., V88, P247
[10] The classification of triangulated subcategories
Thomason, RW
[J]. COMPOSITIO MATHEMATICA, 1997, 105 (01) : 1 - 27

← 1 2 →