How to construct a Hovey triple from two cotorsion pairs

DOI10.4064/fm230-3-4zbMath1316.18012arXiv1406.2619OpenAlexW2963546926MaRDI QIDQ5251729

James Gillespie

Publication date: 20 May 2015

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2619

zbMATH Keywords

cotorsion pairabelian model categoryHovey triple

Mathematics Subject Classification ID

Related Items (24)

Duality pairs, generalized Gorenstein modules, and Ding injective envelopes ⋮ Frobenius pairs in abelian categories. Frobenius pairs in abelian categories, correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts ⋮ Triangulated equivalence between a homotopy category and a triangulated quotient category ⋮ Models for functor categories over self-injective quivers ⋮ The flat stable module category of a coherent ring ⋮ Hovey triples arising from two cotorsion pairs of extriangulated categories ⋮ On the homotopy category of AC-injective complexes ⋮ GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES ⋮ Unnamed Item ⋮ Recollements from cotorsion pairs ⋮ Hereditary abelian model categories ⋮ Abelian model structures on categories of quiver representations ⋮ Model structures and relative Gorenstein flat modules and chain complexes ⋮ The stable category of Gorenstein flat sheaves on a noetherian scheme ⋮ Canonical resolutions in hereditary abelian model categories ⋮ Gorenstein flat representations of left rooted quivers ⋮ Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules ⋮ A new method to construct model structures from a cotorsion pair ⋮ Gorenstein flat modules with respect to duality pairs ⋮ QUILLEN EQUIVALENT MODELS FOR THE DERIVED CATEGORY OF FLATS AND THE RESOLUTION PROPERTY ⋮ Model categories of quiver representations ⋮ Model structures, recollements and duality pairs ⋮ Models for homotopy categories of injectives and Gorenstein injectives ⋮ New model structures and projective (injective) cotorsion pairs

Cites Work

• Model structures on exact categories
• Cotorsion pairs, model category structures, and representation theory
• Relative homological algebra
• Models for singularity categories.
• Gorenstein complexes and recollements from cotorsion pairs

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