Recollements of extriangulated categories

DOI10.4064/CM8457-2-2021zbMath1491.18012arXiv2012.03258OpenAlexW3168475230MaRDI QIDQ5029002

Jiaqun Wei, Li Wang, Haicheng Zhang

Publication date: 11 February 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03258

zbMATH Keywords

recollementcotorsion pairextriangulated category

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Preadditive, additive categories (18E05)

Related Items (8)

Idempotent completion of extriangulated categories ⋮ Auslander's formula and correspondence for exact categories ⋮ Torsion pairs and recollements of extriangulated categories ⋮ Hovey triples arising from two cotorsion pairs of extriangulated categories ⋮ Gluing \(n\)-tilting and \(n\)-cotilting subcategories ⋮ Relative homological dimensions in recollements of extriangulated categories ⋮ Localization of extriangulated categories ⋮ Resolving subcategories and dimensions in recollements of extriangulated categories

Cites Work

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• Homological theory of recollements of abelian categories
• On the uniqueness of stratifications of derived module categories.
• Torsion pairs in recollements of abelian categories
• Comparison of abelian categories recollements
• Transport of structure in higher homological algebra
• Exact categories
• Cotorsion Pairs in a Recollement of Triangulated Categories
• On the relation between maximal rigid objects and τ-tilting modules
• Recollements and tilting modules
• Support $\tau $-tilting modules under split-by-nilpotent extensions

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