A counterexample to Raikov's conjecture

被引：28
作者：
Rump, Wolfgang [1 ]
机构：
[1] Univ Stuttgart, Inst Algebra & Number Theory, D-70550 Stuttgart, Germany
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2008年 / 40卷
关键词：
D O I：
10.1112/blms/bdn080
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Quasi-abelian categories are additive categories for which the class of all short exact sequences defines an exact structure. Such categories are ubiquitous and form a natural framework for relative homological algebra and K-theory. Higher Ext-groups also exist in categories with the formally weaker property to be semi-abelian. Raikov's conjecture states that both concepts are equivalent. We use a tilted algebra of type (6) to construct a counterexample.
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页码：985 / 994
页数：10
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