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arXiv · 2507.04220

Extriangulated factorization systems, $s$-torsion pairs and recollements

Yan Xu·Haicheng Zhang·Zhiwei Zhu
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Abstract

We introduce extriangulated factorization systems in extriangulated categories and show that there exists a bijection between $s$-torsion pairs and extriangulated factorization systems. We also consider the gluing of $s$-torsion pairs and extriangulated factorization systems under recollements of extriangulated categories.

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Yan Xu, Haicheng Zhang, Zhiwei Zhu. 2025-07-06. Extriangulated factorization systems, $s$-torsion pairs and recollements. https://arxiv.org/abs/2507.04220

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