Generalized Tate cohomology and Avramov–Martsinkovsky type sequences

DOI10.1142/S0219498824500580MaRDI QIDQ6067299

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Publication date: 14 December 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

relative cohomologygeneralized Tate cohomologyAvramov-Martsinkovsky sequence

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

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• Gorenstein categories \(\mathcal G(\mathscr X,\mathscr Y,\mathscr Z)\) and dimensions
• Gorenstein projective dimension with respect to a semidualizing module
• Some remarks on projective generators and injective cogenerators
• Generalized Tate cohomology.
• Gorenstein flat dimension of complexes.
• Gorenstein cohomology in abelian categories
• Homological dimensions of unbounded complexes
• On Ding projective complexes
• Relative cohomology and generalized Tate cohomology
• Relative cohomology of complexes
• Gorenstein injective and projective modules
• Relative homological algebra
• Remarks on balance in generalized Tate cohomology
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Classes of extensions and resolutions
• Relative Gorenstein objects in abelian categories
• STRONGLY GORENSTEIN FLAT MODULES
• The homological theory of maximal Cohen-Macaulay approximations
• Balance for relative cohomology of complexes
• HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS
• Foundations of relative homological algebra
• Balance in Generalized Tate Cohomology
• Gorenstein projective dimension for complexes
• Relative Gorenstein dimensions

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