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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.04220 |
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| _version_ | 1866912468444381184 |
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| author | Xu, Yan Zhang, Haicheng Zhu, Zhiwei |
| author_facet | Xu, Yan Zhang, Haicheng Zhu, Zhiwei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04220 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extriangulated factorization systems, $s$-torsion pairs and recollements Xu, Yan Zhang, Haicheng Zhu, Zhiwei Category Theory 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. |
| title | Extriangulated factorization systems, $s$-torsion pairs and recollements |
| topic | Category Theory |
| url | https://arxiv.org/abs/2507.04220 |