Relative homological dimensions in recollements of extriangulated categories

DOI10.1142/S0219498824501111OpenAlexW4317399511MaRDI QIDQ6151677

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Publication date: 11 March 2024

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498824501111

zbMATH Keywords

recollementsextriangulated categories\(\xi\)-global dimensionsproper classes of \(\mathbb{E}\)-triangles

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Derived categories, triangulated categories (18G80)

Cites Work

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• Homological theory of recollements of abelian categories
• Gorenstein defect categories of triangular matrix algebras
• Elementary construction of perverse sheaves
• Triangulated quotient categories revisited
• Relative homological algebra and purity in triangulated categories
• Tilting subcategories in extriangulated categories
• Proper classes and Gorensteinness in extriangulated categories
• Relative homological dimensions in recollements of triangulated categories
• Recollements of extriangulated categories
• Torsion pairs and recollements of extriangulated categories
• Tilting objects in triangulated categories

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