Relative homological dimensions and Tate cohomology of complexes with respect to cotorsion pairs

DOI10.1080/00927872.2016.1233226zbMath1372.18015OpenAlexW2528704916MaRDI QIDQ4978354

Wenjing Chen, Xiao Yan Yang

Publication date: 10 August 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1233226

zbMATH Keywords

Tate resolutioncotorsion pair

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Homological dimension (category-theoretic aspects) (18G20) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (8)

Compactly generated triangulated subcategories of homotopy categories induced by cotorsion pairs ⋮ A unified approach to various Gorenstein modules ⋮ Unnamed Item ⋮ Homotopy categories of totally acyclic complexes with applications to the flat–cotorsion theory ⋮ Tate homology with respect to cotorsion pairs ⋮ Balance of complete cohomology in extriangulated categories ⋮ Gorenstein projective complexes with respect to cotorsion pairs ⋮ A new method to construct model structures from a cotorsion pair

Cites Work

• On a question of Gillespie
• A model structure approach to the Tate-Vogel cohomology
• Equivariant Tate-Vogel homology
• Products in negative cohomology
• An extension of Tate cohomology to a class of infinite groups
• Tate cohomology for arbitrary groups via satellites
• Cotorsion pairs and model structures on Ch(R)
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• The flat model structure on 𝐂𝐡(𝐑)
• Gorenstein projective dimension for complexes

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