Stable short exact sequences and the maximal exact structure of an additive category
Fundamenta Mathematicae, Tome 228 (2015) no. 1, pp. 87-96.

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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.
DOI : 10.4064/fm228-1-7
Keywords: recently proved every additive category has unique maximal exact structure while remained whether distinguished short exact sequences canonical exact structure coincide stable short exact sequences question answered counterexample which shows none steps construct maximal exact structure dropped

Wolfgang Rump 1

1 Institute for Algebra and Number Theory University of Stuttgart Pfaffenwaldring 57 D-70550 Stuttgart, Germany
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Wolfgang Rump. Stable short exact sequences and the
 maximal exact structure of an additive category. Fundamenta Mathematicae, Tome 228 (2015) no. 1, pp. 87-96. doi : 10.4064/fm228-1-7. http://geodesic.mathdoc.fr/articles/10.4064/fm228-1-7/

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