Relative cohomology of complexes

DOI10.1016/j.jalgebra.2018.01.013zbMath1442.16009OpenAlexW2792771163MaRDI QIDQ1706234

Liu, Zhongkui

Publication date: 21 March 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.01.013

zbMATH Keywords

DG-projective resolutionGorenstein projective dimension of complexesrelative cohomology groupstrict Gorenstein projective precover

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items

Dimension of complexes related to special Gorenstein projective precovers(II) ⋮ Generalized Tate cohomology and Avramov–Martsinkovsky type sequences ⋮ Balance for relative cohomology of complexes ⋮ Relative cohomology of complexes II: vanishing of relative cohomology ⋮ Gorenstein cohomology of N-complexes ⋮ HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS ⋮ Relative cohomology of complexes based on cotorsion pairs ⋮ Dimension of complexes related to special Gorenstein projective precovers

Cites Work

• Gorenstein projective dimensions of complexes.
• Comparison of relative cohomology theories with respect to semidualizing modules
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Cohomology theories for complexes
• Gorenstein flat dimension of complexes.
• Gorenstein injective complexes of modules over Noetherian rings.
• Gorenstein cohomology in abelian categories
• Homological dimensions of unbounded complexes
• Gorenstein homological dimensions.
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Cohomology theories based on Gorenstein injective modules
• Gorenstein derived functors
• Global Gorenstein dimensions
• Foundations of relative homological algebra
• Gorenstein projective dimension for complexes
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