Avramov-Martsinkovsky type exact sequences with \(\mathrm {Tor}\) functors

DOI10.1007/s10114-017-7089-zzbMath1378.16005OpenAlexW2753766012MaRDI QIDQ1686909

Li Liang, Chun-Xia Zhang

Publication date: 18 December 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-017-7089-z

zbMATH Keywords

relative homology(generalized) Tate homologyAvramov-Martsinkovsky type exact sequence

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Resolutions; derived functors (category-theoretic aspects) (18G10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)

Cites Work

• Unnamed Item
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• Tate cohomology with respect to semidualizing modules
• Strongly Gorenstein flat modules and dimensions.
• Generalized Tate cohomology.
• Gorenstein homological dimensions.
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• Relative homological algebra
• Model structures on modules over Ding-Chen rings.
• Complete cohomology and Gorensteinness of schemes
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• Strongly Gorenstein Flat Dimensions of Complexes
• RELATIVE AND TATE COHOMOLOGY OF DING MODULES AND COMPLEXES
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• STRONGLY GORENSTEIN FLAT MODULES
• Absolute, Gorenstein, and Tate Torsion Modules
• Gorenstein derived functors
• Tate (co)homology via pinched complexes
• Gorenstein projective dimension for complexes

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