Stable short exact sequences and the maximal exact structure of an additive category

被引：5

作者：

Rump, Wolfgang ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Algebra & Number Theory, D-70550 Stuttgart, Germany

来源：

FUNDAMENTA MATHEMATICAE | 2015年 / 228卷 / 01期

关键词：

exact category; additive category; ABELIAN CATEGORIES;

D O I：

10.4064/fm228-1-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It was recently proved that every additive category has a unique maximal exact structure, while it remained open whether the distinguished short exact sequences of this canonical exact structure coincide with the stable short exact sequences. The question is answered by a counterexample which shows that none of the steps to construct the maximal exact structure can be dropped.

引用

页码：87 / 96

页数：10

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