Stable short exact sequences and the maximal exact structure of an additive category
Volume 228 / 2015
Fundamenta Mathematicae 228 (2015), 87-96
MSC: Primary 18E10, 18E05; Secondary 19D55, 13D09, 18G25.
DOI: 10.4064/fm228-1-7
Abstract
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.
