$n$-cotorsion pairs in a recollement of extriangulated categories
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912557616332800 |
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| author | Ma, Xin Zhou, Panyue |
| author_facet | Ma, Xin Zhou, Panyue |
| contents | Let $(\mathcal{A}, \mathcal{B}, \mathcal{C})$ be a recollement of extriangulated categories.In this paper, we first show how to obtain an $n$-cotorsion pair in $\mathcal{B}$ from given $n$-cotorsion pairs in $\mathcal{A}$ and $\mathcal{C}$. Conversely, we prove that an $n$-cotorsion pair in $\mathcal{B}$ can induce $n$-cotorsion pairs in $\mathcal{A}$ and $\mathcal{C}$ under suitable conditions. As applications, several related results are provided to illustrate our construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20331 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $n$-cotorsion pairs in a recollement of extriangulated categories Ma, Xin Zhou, Panyue Representation Theory Category Theory Let $(\mathcal{A}, \mathcal{B}, \mathcal{C})$ be a recollement of extriangulated categories.In this paper, we first show how to obtain an $n$-cotorsion pair in $\mathcal{B}$ from given $n$-cotorsion pairs in $\mathcal{A}$ and $\mathcal{C}$. Conversely, we prove that an $n$-cotorsion pair in $\mathcal{B}$ can induce $n$-cotorsion pairs in $\mathcal{A}$ and $\mathcal{C}$ under suitable conditions. As applications, several related results are provided to illustrate our construction. |
| title | $n$-cotorsion pairs in a recollement of extriangulated categories |
| topic | Representation Theory Category Theory |
| url | https://arxiv.org/abs/2508.20331 |