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

• Autorzy: Wolfgang Rump
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 19D55: K -theory and homology; cyclic homology and cohomology
• 18G25: Relative homological algebra, projective classes
• 18E10: Exact categories, abelian categories
• 13D09: Derived categories
• 18E05: Preadditive, additive categories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 228
• Numer: 1
• Strony: 87-96

Daty

wydano

2015

Twórcy

autor

Wolfgang Rump

• Institute for Algebra and Number Theory, University of Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany

Identyfikatory

DOI

10.4064/fm228-1-7