Rectangular torsion theories
Category Theory
2025-04-03 v1
Abstract
In this paper we introduce and study \emph{rectangular torsion theories}, i.e.\ those torsion theories with a pointed category, where the canonical functor is an equivalence of categories. In particular, we show that these are precisely the internal rectangular bands in the 2-category of pointed categories.
Cite
@article{arxiv.2504.01057,
title = {Rectangular torsion theories},
author = {Elena Caviglia and Zurab Janelidze and Luca Mesiti},
journal= {arXiv preprint arXiv:2504.01057},
year = {2025}
}