Extriangulated factorization systems, s -torsion pairs and recollements

Yan Xu; Haicheng Zhang; Zhiwei Zhu

doi:10.1142/s0219498827501416

January 23, 2026Journal of Algebra and Its Applications

Extriangulated factorization systems, s -torsion pairs and recollements

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Key Points

The aim is to establish a connection between extriangulated factorization systems and s-torsion pairs.
Introduced extriangulated factorization systems in extriangulated categories.
Established a bijection between s-torsion pairs and extriangulated factorization systems.
Examined gluing methods of s-torsion pairs and factorization systems through recollements.
A clear bijection between s-torsion pairs and extriangulated factorization systems exists.
The study advances understanding of how these systems interact under recollement operations.

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Implication

Investigates the connections between s-torsion pairs and extriangulated factorization systems, suggesting new mathematical insights.

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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Cite This Study

Xu et al. (2026) studied this question.

synapsesocial.com/papers/697703d3722626c4468e8cba https://doi.org/10.1142/s0219498827501416

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Extriangulated factorization systems, s -torsion pairs and recollements

Key Points

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Implication

Abstract

Discussion

Cite This Study

Extriangulated factorization systems, s -torsion pairs and recollements

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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