Functors and morphisms determined by subcategories
Representation Theory
2017-10-26 v1 Category Theory
Abstract
We study the existence and uniqueness of minimal right determiners in various categories. Particularly in a Hom-finite hereditary abelian category with enough projectives, we prove that the Auslander-Reiten-Smal{\o}-Ringel formula of the minimal right determiner still holds. As an application, we give a formula of minimal right determiners in the category of finitely presented representations of strongly locally finite quivers.
Cite
@article{arxiv.1710.08966,
title = {Functors and morphisms determined by subcategories},
author = {Shijie Zhu},
journal= {arXiv preprint arXiv:1710.08966},
year = {2017}
}
Comments
34 pages