Cotorsion Pairs in a Recollement of Triangulated Categories

DOI10.1080/00927872.2012.666598zbMath1301.18013OpenAlexW1987975460MaRDI QIDQ2842685

Jian Min Chen

Publication date: 16 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.666598

zbMATH Keywords

triangulated categoryabelian categoryrecollementcotorsion pair

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Representations of quivers and partially ordered sets (16G20)

Related Items (8)

The recollements of abelian categories: cotorsion dimensions and cotorsion triples ⋮ Torsion pairs and recollements of extriangulated categories ⋮ Gluing \(n\)-tilting and \(n\)-cotilting subcategories ⋮ Recollements and tilting modules ⋮ A simultaneous generalization of mutation and recollement of cotorsion pairs on a triangulated category ⋮ Torsion pairs in recollements of abelian categories ⋮ Recollements of extriangulated categories ⋮ Support $\tau $-tilting modules and recollements

Cites Work

• Unnamed Item
• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• From recollement of triangulated categories to recollement of abelian categories
• Recollements of abelian categories and special types of comma categories
• Elementary construction of perverse sheaves
• Algebraic stratification in representation categories
• Tilting complexes, perpendicular categories and recollements of derived module categories of rings
• From triangulated categories to abelian categories: cluster tilting in a general framework
• Mutation in triangulated categories and rigid Cohen-Macaulay modules

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