Karoubianness of a triangulated category

被引：42
|
作者：
Le, Jue
Chen, Xiao-Wu [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Univ Sci & Technol China, Dept Math, Anhua 230026, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2007年 / 310卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Karoubianness; triangulated category; t-structure;
D O I：
10.1016/j.jalgebra.2006.11.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that triangulated categories with bounded t-structures are Karoubian. Consequently, for an Ext-finite abelian category over a commutative noetherian complete local ring, its bounded derived category is Krull-Schmidt. (c) 2007 Elsevier Inc. All rights reserved.
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页码：452 / 457
页数：6
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