Admissible weak factorization systems on extriangulated categories
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916370554290176 |
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| author | Ma, Yajun You, Hanyang Zhang, Dongdong Zhou, Panyue |
| author_facet | Ma, Yajun You, Hanyang Zhang, Dongdong Zhou, Panyue |
| contents | Extriangulated categories, introduced by Nakaoka and Palu, serve as a simultaneous generalization of exact and triangulated categories. In this paper, we first introduce the concept of admissible weak factorization systems and establish a bijection between cotorsion pairs and admissible weak factorization systems in extriangulated categories. Consequently, we give the equivalences between hereditary cotorsion pairs and compatible cotorsion pairs via admissible weak factorization systems under certain conditions in extriangulated categories, thereby generalizing a result by Di, Li, and Liang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13548 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Admissible weak factorization systems on extriangulated categories Ma, Yajun You, Hanyang Zhang, Dongdong Zhou, Panyue Category Theory Extriangulated categories, introduced by Nakaoka and Palu, serve as a simultaneous generalization of exact and triangulated categories. In this paper, we first introduce the concept of admissible weak factorization systems and establish a bijection between cotorsion pairs and admissible weak factorization systems in extriangulated categories. Consequently, we give the equivalences between hereditary cotorsion pairs and compatible cotorsion pairs via admissible weak factorization systems under certain conditions in extriangulated categories, thereby generalizing a result by Di, Li, and Liang. |
| title | Admissible weak factorization systems on extriangulated categories |
| topic | Category Theory |
| url | https://arxiv.org/abs/2408.13548 |