Extriangulated factorization systems, $s$-torsion pairs and recollements
Category Theory
2025-07-08 v1
Abstract
We introduce extriangulated factorization systems in extriangulated categories and show that there exists a bijection between -torsion pairs and extriangulated factorization systems. We also consider the gluing of -torsion pairs and extriangulated factorization systems under recollements of extriangulated categories.
Cite
@article{arxiv.2507.04220,
title = {Extriangulated factorization systems, $s$-torsion pairs and recollements},
author = {Yan Xu and Haicheng Zhang and Zhiwei Zhu},
journal= {arXiv preprint arXiv:2507.04220},
year = {2025}
}
Comments
14 pages