Relative cohomology of complexes II: vanishing of relative cohomology

DOI10.1016/j.jalgebra.2020.08.020zbMath1482.16007OpenAlexW3083960725MaRDI QIDQ2204843

Bo Lu, Zhen Xing Di, Liu, Zhongkui

Publication date: 16 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2020.08.020

zbMATH Keywords

relative cohomology groupdimension of complexesspecial 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 (2)

Dimension of complexes related to special Gorenstein projective precovers(II) ⋮ Dimension of complexes related to special Gorenstein projective precovers

Cites Work

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• Totally acyclic complexes
• Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Homological dimensions of unbounded complexes
• Gorenstein homological dimensions.
• Relative cohomology of complexes
• Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules
• Gorenstein complexes and recollements from cotorsion pairs
• WEAK GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES
• Gorenstein projective dimension for complexes

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