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This is a Quantitative Study study.

September 24, 2025Open Access

n-cotorsion pairs in a recollement of extriangulated categories

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An $n$-cotorsion pair in $B$ can be obtained from $n$-cotorsion pairs in $A$ and $C$.
The paper establishes that $n$-cotorsion pairs can induce others in related categories under suitable conditions.
Applications of this work include several results that illustrate the construction of $n$-cotorsion pairs.
The framework extends understanding of morphisms between extriangulated categories.

Implication

This paper demonstrates how to obtain and induce cotorsion pairs in related categories, highlighting their interconnections.

Abstract

Let (A, B, C) be a recollement of extriangulated categories.In this paper, we first show how to obtain an n-cotorsion pair in B from given n-cotorsion pairs in A and C. Conversely, we prove that an n-cotorsion pair in B can induce n-cotorsion pairs in A and C under suitable conditions. As applications, several related results are provided to illustrate our construction.

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Cite This Study

Ma et al. (2025) studied this question.

synapsesocial.com/papers/68d6d8ba8b2b6861e4c3f245 https://doi.org/10.48550/arxiv.2508.20331

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Implication

This paper demonstrates how to obtain and induce cotorsion pairs in related categories, highlighting their interconnections.

n-cotorsion pairs in a recollement of extriangulated categories

Key Points

Implication

Abstract

Discussion

Cite This Study

n-cotorsion pairs in a recollement of extriangulated categories

Key Points

Implication

Abstract

Discussion

Cite This Study

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