Pretorsion theories, stable category and preordered sets
Category Theory
2019-02-19 v1
Abstract
We show that in the category of preordered sets, there is a natural notion of pretorsion theory, in which the partially ordered sets are the torsion-free objects and the sets endowed with an equivalence relation are the torsion objects. Correspondingly, it is possible to construct a stable category factoring out the objects that are both torsion and torsion-free.
Cite
@article{arxiv.1902.06694,
title = {Pretorsion theories, stable category and preordered sets},
author = {Alberto Facchini and Carmelo Finocchiaro},
journal= {arXiv preprint arXiv:1902.06694},
year = {2019}
}