Stable short exact sequences and the maximal exact structure of an additive category
Fundamenta Mathematicae (2015)
- Volume: 228, Issue: 1, page 87-96
- ISSN: 0016-2736
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topWolfgang Rump. "Stable short exact sequences and the maximal exact structure of an additive category." Fundamenta Mathematicae 228.1 (2015): 87-96. <http://eudml.org/doc/282673>.
@article{WolfgangRump2015,
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.},
author = {Wolfgang Rump},
journal = {Fundamenta Mathematicae},
keywords = {additive category; exact structure; stable short exact sequence},
language = {eng},
number = {1},
pages = {87-96},
title = {Stable short exact sequences and the maximal exact structure of an additive category},
url = {http://eudml.org/doc/282673},
volume = {228},
year = {2015},
}
TY - JOUR
AU - Wolfgang Rump
TI - Stable short exact sequences and the maximal exact structure of an additive category
JO - Fundamenta Mathematicae
PY - 2015
VL - 228
IS - 1
SP - 87
EP - 96
AB - 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.
LA - eng
KW - additive category; exact structure; stable short exact sequence
UR - http://eudml.org/doc/282673
ER -
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