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arXiv · 2508.20331

$n$-cotorsion pairs in a recollement of extriangulated categories

Xin Ma·Panyue Zhou
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Abstract

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.

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BibTeXRIS

Xin Ma, Panyue Zhou. 2025-08-28. $n$-cotorsion pairs in a recollement of extriangulated categories. https://arxiv.org/abs/2508.20331

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