Geodesic
Stable short exact sequences and the maximal exact structure of an additive category
Wolfgang Rump1
1 Institute for Algebra and Number Theory University of Stuttgart Pfaffenwaldring 57 D-70550 Stuttgart, Germany
Fundamenta Mathematicae, Tome 228 (2015) no. 1, pp. 87-96

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_fm228_1_7,
     author = {Wolfgang Rump},
     title = {Stable short exact sequences and the
 maximal exact structure of an additive category},
     journal = {Fundamenta Mathematicae},
     pages = {87--96},
     publisher = {mathdoc},
     volume = {228},
     number = {1},
     year = {2015},
     doi = {10.4064/fm228-1-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm228-1-7/}
}
TY  - JOUR
AU  - Wolfgang Rump
TI  - Stable short exact sequences and the
 maximal exact structure of an additive category
JO  - Fundamenta Mathematicae
PY  - 2015
SP  - 87
EP  - 96
VL  - 228
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm228-1-7/
DO  - 10.4064/fm228-1-7
LA  - en
ID  - 10_4064_fm228_1_7
ER  - 
%0 Journal Article
%A Wolfgang Rump
%T Stable short exact sequences and the
 maximal exact structure of an additive category
%J Fundamenta Mathematicae
%D 2015
%P 87-96
%V 228
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm228-1-7/
%R 10.4064/fm228-1-7
%G en
%F 10_4064_fm228_1_7
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

Cité par Sources :