Hereditary abelian model categories

DOI10.1112/blms/bdw051zbMath1372.18001arXiv1512.06001OpenAlexW2278560913MaRDI QIDQ2980181

James Gillespie

Publication date: 28 April 2017

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06001

zbMATH Keywords

homotopy categoryderived categoryrecollementcotorsion pairQuillen model structurestable module category

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Research exposition (monographs, survey articles) pertaining to category theory (18-02)

Related Items (21)

Duality pairs, generalized Gorenstein modules, and Ding injective envelopes ⋮ Gorenstein AC-projective complexes ⋮ Triangulated equivalence between a homotopy category and a triangulated quotient category ⋮ The flat stable module category of a coherent ring ⋮ Minimal semi-flat-cotorsion replacements and cosupport ⋮ K‐flat complexes and derived categories ⋮ The homotopy category of acyclic complexes of pure-projective modules ⋮ Left Bousfield localization without left properness ⋮ Lifting recollements of abelian categories and model structures ⋮ Relative Gorenstein rings and duality pairs ⋮ Canonical resolutions in hereditary abelian model categories ⋮ Duality pairs and stable module categories ⋮ Triangle equivalences involving Gorenstein FP-injective modules ⋮ Gorenstein flat representations of left rooted quivers ⋮ Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules ⋮ Recollements induced by monomorphism categories ⋮ AC-GORENSTEIN RINGS AND THEIR STABLE MODULE CATEGORIES ⋮ Gorenstein flat modules with respect to duality pairs ⋮ Relative global dimensions and stable homotopy categories ⋮ Model categories of quiver representations ⋮ Homotopy theory in additive categories with suspensions

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