Geodesic
Autocompact objects of Ab5 categories
Theory and applications of categories, Tome 37 (2021), pp. 979-995.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

The aim of the paper is to describe autocompact objects in Ab5-categories, i.e. objects in cocomplete abelian categories with exactness preserving filtered colimits, whose covariant Hom-functor commutes with copowers of the object itself. A characterization of non-autocompact object is given, a general criterion of autocompactness of an object via the structure of its endomorphism ring is presented and a criterion of autocompactness of products is proven.
Publié le :
Classification : 18E10, (18A05)
Keywords: additive category, Ab5 category, autocompact object 
@article{TAC_2021_37_a29,
     author = {Josef Dvo\v{r}\'ak and Jan \v{Z}emli\v{c}ka},
     title = {Autocompact objects of {Ab5} categories},
     journal = {Theory and applications of categories},
     pages = {979--995},
     publisher = {mathdoc},
     volume = {37},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_37_a29/}
}
TY  - JOUR
AU  - Josef Dvořák
AU  - Jan Žemlička
TI  - Autocompact objects of Ab5 categories
JO  - Theory and applications of categories
PY  - 2021
SP  - 979
EP  - 995
VL  - 37
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2021_37_a29/
LA  - en
ID  - TAC_2021_37_a29
ER  - 
%0 Journal Article
%A Josef Dvořák
%A Jan Žemlička
%T Autocompact objects of Ab5 categories
%J Theory and applications of categories
%D 2021
%P 979-995
%V 37
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2021_37_a29/
%G en
%F TAC_2021_37_a29
Josef Dvořák; Jan Žemlička. Autocompact objects of Ab5 categories. Theory and applications of categories, Tome 37 (2021), pp. 979-995. http://geodesic.mathdoc.fr/item/TAC_2021_37_a29/