Geodesic
Autocompact objects of Ab5 categories
Theory and applications of categories, Tome 37 (2021), pp. 979-995 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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.

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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},
     year = {2021},
     volume = {37},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_37_a29/}
}
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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/