\(\mathcal W\)-Gorenstein modules

DOI10.1016/j.jalgebra.2010.09.040zbMath1216.18015OpenAlexW2069225307MaRDI QIDQ630844

Yuxian Geng, Nan Qing Ding

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.09.040

zbMATH Keywords

Bass classAuslander class(faithfully) semidualizing bimoduleresolution dimensionself-orthogonal classW-Gorenstein module

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

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Strongly Gorenstein categories, Gorenstein flat modules relative to injectively resolving subcategories, Relative Gorenstein flat modules and dimension, Foxby equivalences associated to Gorenstein categories𝒢(𝒳,𝒴,𝒵), Cartan-Eilenberg \(N\)-complexes with respect to self-orthogonal subcategories, The role of w-tilting modules in relative Gorenstein (co)homology, Ding projective modules with respect to a semidualizing bimodule., Auslander conditions and tilting-like cotorsion pairs, A unified approach to various Gorenstein modules, On reduced G-perfection and horizontal linkage, 𝒲(ξ)-Gorenstein objects in extriangulated categories, On the stability question of Gorenstein categories, A new method to construct model structures from left Frobenius pairs in extriangulated categories, The right Gorenstein subcategory \(r\mathcal{G}(\mathscr{C},\mathscr{D})\), Proper resolutions and Gorenstein categories, Unnamed Item, The finiteness of the Gorenstein dimension for Artin algebras, Some remarks on projective generators and injective cogenerators, One-sided Gorenstein subcategories, $\V\W$-Gorenstein categories, $W$-Gorenstein objects in triangulated categories, $VW$-Gorenstein complexes, Classification of solutions of some nonlinear elliptic equations, Homotopy categories of totally acyclic complexes with applications to the flat–cotorsion theory, \( \Omega \)-Gorenstein modules over formal triangular matrix rings, Gorenstein objects in the category of N-complexes, Gorenstein Projective Dimension Relative to a Semidualizing Bimodule, Gorenstein Homological Dimensions of Complexes with Respect to a Semidualizing Module, \(V\)-Gorenstein injective modules preenvelopes and related dimension, \(\mathcal{W}\)-Gorenstein \(N\)-complexes, Relative stable (co)homology, Unnamed Item, Relative Gorenstein dimensions, On Balance for Relative Homology, Strongly \((\mathscr{X},\mathscr{Y},\mathscr{Z})\)-Gorenstein modules and applications, Relative Gorenstein objects in abelian categories, Duality pairs induced by one-sided Gorenstein subcategories, Gorenstein coresolving categories, (𝒲,𝒴,𝒳)-Gorenstein complexes, Finitistic dimension and endomorphism algebras of 𝒲-Gorenstein modules, Completely 𝒲-Resolved Complexes, Unnamed Item, On Stability of Gorenstein Categories, WEAK AB-CONTEXT FOR FP-INJECTIVE MODULES WITH RESPECT TO SEMIDUALIZING MODULES, Strongly W-Gorenstein modules, Gorenstein Injective and Projective Complexes with Respect to a Semidualizing Module, Stability of Gorenstein flat categories with respect to a semidualizing module

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