Recollement of homotopy categories and Cohen-Macaulay modules

DOI10.1017/is011003007jkt143zbMath1251.18008arXiv0911.0172OpenAlexW2963433970MaRDI QIDQ3112613

Osamu Iyama, Kiriko Kato, Jun-Ichi Miyachi

Publication date: 11 January 2012

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0172

zbMATH Keywords

homotopy categoryCohen-Macaulay modulerecollementIwanaga-Gorenstein ring

Mathematics Subject Classification ID

Related Items (24)

Bimodule monomorphism categories and RSS equivalences via cotilting modules ⋮ Gorenstein projective objects in comma categories ⋮ Recollements, comma categories and morphic enhancements ⋮ Auslander's formula: variations and applications ⋮ On the Gorenstein defect categories ⋮ Separated monic correspondence of cotorsion pairs and semi-Gorenstein-projective modules ⋮ Homotopy category of \(N\)-complexes of projective modules ⋮ On the existence of recollements of functor categories ⋮ On singular equivalences of Morita type ⋮ Gorenstein-projective modules and symmetric recollements ⋮ Monomorphism categories, cotilting theory, and Gorenstein-projective modules. ⋮ Strongly Gorenstein-projective quiver representations ⋮ Triangulated subcategories of extensions, stable \(t\)-structures, and triangles of recollements ⋮ Realisation functors in tilting theory ⋮ Recollements of stable categories of Gorenstein injective modules ⋮ Upper recollements and triangle expansions ⋮ A simultaneous generalization of mutation and recollement of cotorsion pairs on a triangulated category ⋮ On the recollements of functor categories ⋮ Representations of quivers over Artinian rings ⋮ Higher differential objects in additive categories ⋮ Recollements induced by monomorphism categories ⋮ The recollements induced by contravariantly finite subcategories ⋮ TWO DESCRIPTIONS OF RELATIVE DERIVED CATEGORIES ⋮ Recollements of Singularity Categories and Monomorphism Categories

Cites Work

• The derived category of an exact category
• Localization of triangulated categories and derived categories
• Chain complexes and stable categories
• Applications of contravariantly finite subcategories
• Derived categories and stable equivalence
• The homological theory of maximal Cohen-Macaulay approximations
• On rings with finite self-injective dimension
• Injective resolutions of Noetherian rings and cogenerators
• the stable derived category of a noetherian scheme

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