Pretorsion theories in lextensive categories
Category Theory
2023-01-16 v2 Rings and Algebras
Abstract
We propose a construction of a stable category for any pretorsion theory in a lextensive category. We prove the universal property of the stable category, that extends previous results obtained for the stable category of internal preorders in a pretopos. Some examples are provided in the categories of topological spaces and of (small) categories.
Cite
@article{arxiv.2205.11054,
title = {Pretorsion theories in lextensive categories},
author = {Francis Borceux and Federico Campanini and Marino Gran},
journal= {arXiv preprint arXiv:2205.11054},
year = {2023}
}
Comments
26 pages, minor corrections