On a question of Gillespie

DOI10.1515/forum-2013-6014zbMath1347.18003OpenAlexW2317796131MaRDI QIDQ889585

Xiao Yan Yang, Nan Qing Ding

Publication date: 9 November 2015

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2013-6014

zbMATH Keywords

abelian categoryhomological dimension(complete, hereditary) cotorsion pair(unbounded) chain complexes

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (19)

Triangulated equivalence between a homotopy category and a triangulated quotient category ⋮ Complete cohomology for complexes with finite Gorenstein AC-projective dimension ⋮ Compactly generated triangulated subcategories of homotopy categories induced by cotorsion pairs ⋮ Generalized tilting theory in functor categories ⋮ On the homotopy category of AC-injective complexes ⋮ On K-absolutely pure complexes ⋮ On Gorenstein global and Gorenstein weak global dimensions ⋮ A model structure approach to the Tate-Vogel cohomology ⋮ Hereditary abelian model categories ⋮ \(n\)-cotorsion pairs ⋮ Tate cohomology for complexes with finite Gorenstein AC-injective dimension ⋮ Completeness of the induced cotorsion pairs in categories of quiver representations ⋮ The homotopy category of cotorsion flat modules ⋮ Relative homological dimensions and Tate cohomology of complexes with respect to cotorsion pairs ⋮ Gorenstein projective complexes with respect to cotorsion pairs ⋮ A new method to construct model structures from a cotorsion pair ⋮ Buchweitz’s equivalences for Gorenstein flat modules with respect to semidualizing modules ⋮ Relative global dimensions and stable homotopy categories ⋮ Model categories of quiver representations

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