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arXiv · 1902.06694

Pretorsion theories, stable category and preordered sets

Alberto Facchini·Carmelo Finocchiaro
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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.

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Alberto Facchini, Carmelo Finocchiaro. 2019-02-14. Pretorsion theories, stable category and preordered sets. https://arxiv.org/abs/1902.06694

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