Gabriel localization in functor categories
Category Theory
2020-01-14 v1
Abstract
P. Gabriel showed that for an unital ring , there exists a bijective correspondence between the set of Gabriel filters of and the set of Giraud subcategories of (see \cite[Lemme 1]{Gabriel1} on page 412). In this paper we prove analogous of Gabriel's result: for a small preadditive category , there exists a bijective correspondence between the Gabriel filters of and Giraud subcategories of .
Keywords
Cite
@article{arxiv.2001.03820,
title = {Gabriel localization in functor categories},
author = {Martin Ortiz-Morales and Martha Lizbeth Shaid Sandoval-Miranda and Valente Santiago-Vargas},
journal= {arXiv preprint arXiv:2001.03820},
year = {2020}
}