Gorenstein \(FI\)-flat dimension and Tate homology

DOI10.1007/s10013-016-0188-9zbMath1377.16006OpenAlexW2289812199MaRDI QIDQ505853

Vasudevan Biju, Chelliah Selvaraj, Udhayakumar Ramalingam

Publication date: 26 January 2017

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-016-0188-9

zbMATH Keywords

Tate homologyFI-cotorsion moduleGorenstein FI-flat moduleGorenstein FI-injective module

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65)

Related Items (3)

Gorenstein FI-Flat Complexes and (Pre)envelopes ⋮ Gorenstein \(FI\)-flat dimension and relative homology ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Vanishing of Tor, and why we care about it
• Vanishing of Tate homology and depth formulas over local rings
• Tate cohomology with respect to semidualizing modules
• FI-injective and FI-flat modules.
• Injective and flat covers, envelopes and resolvents
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Complete homology over associative rings
• Flat covers of modules
• Approximations and endomorphism algebras of modules.
• Tate homology of modules of finite Gorenstein flat dimension.
• Flat covers and cotorsion envelopes of sheaves
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Direct Products of Modules
• Absolute, Gorenstein, and Tate Torsion Modules
• Gorenstein derived functors
• Stable homology over associative rings
• Tate (co)homology via pinched complexes
• Coherent Rings and Fp -Injective Modules
• Gorenstein projective dimension for complexes

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