The role of w-tilting modules in relative Gorenstein (co)homology

DOI10.1515/math-2021-0101zbMath1489.16010OpenAlexW4205120259MaRDI QIDQ2669063

Driss Bennis, J. R. García Rozas, Luis Oyonarte, Enrique Duarte

Publication date: 9 March 2022

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2021-0101

zbMATH Keywords

Bass classAuslander classGorenstein modules(weakly) Wakamatsu tilting module

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items

Relative Gorenstein flat modules and dimension ⋮ A unified approach to various Gorenstein modules

Cites Work

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• Gorenstein projective dimension with respect to a semidualizing module
• On the existence of Gorenstein projective precovers
• Relative homological algebra. Vol. 1
• \(\mathcal W\)-Gorenstein modules
• Semi-dualizing modules and related Gorenstein homological dimensions
• Cotorsion pairs induced by duality pairs
• Foxby equivalence over associative rings.
• Gorenstein homological dimensions.
• Gorenstein flat precovers and Gorenstein injective preenvelopes in Grothendieck categories
• Flat covers of modules
• Semidualizing and tilting adjoint pairs, applications to comodules.
• When do Foxby classes coincide with the classes of modules of finite Gorenstein dimensions?
• Proper resolutions and Gorenstein categories
• Semidualizing bimodules and related Gorenstein homological dimensions
• Quasi-perfect modules over COHEN-MACAULAY Rings
• Rings characterized by (pre)envelopes and (pre)covers of their modules^∗
• $\V\W$-Gorenstein categories
• DUALIZING MODULES AND n-PERFECT RINGS
• Foxby duality and Gorenstein injective and projective modules
• Gorenstein Projective Dimension Relative to a Semidualizing Bimodule
• Models for homotopy categories of injectives and Gorenstein injectives
• Gorenstein categories and Tate cohomology on projective schemes
• the stable derived category of a noetherian scheme
• Relative Projective and Injective Dimensions
• Relative Gorenstein dimensions

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