Covers and Envelopes byV-Gorenstein Modules

DOI10.1080/00927870500328766zbMath1087.16002OpenAlexW2099530514MaRDI QIDQ5719296

Juan Antonio López-Ramos, Edgar E. Enochs, Overtoun M. G. Jenda

Publication date: 18 January 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500328766

zbMATH Keywords

coversexact sequencescotorsion theoriesresolutionsGorenstein injective modulesGorenstein projective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (24)

Strongly Gorenstein categories ⋮ The transpose of modules relative to subcategories ⋮ Relative transpose and its dual with respect to a bimodule ⋮ \(\mathcal W\)-Gorenstein modules ⋮ \(V\)-Gorenstein projective, injective and flat modules. ⋮ The right Gorenstein subcategory \(r\mathcal{G}(\mathscr{C},\mathscr{D})\) ⋮ Proper resolutions and Gorenstein categories ⋮ Relative singularity categories. II ⋮ One-sided Gorenstein subcategories ⋮ $\V\W$-Gorenstein categories ⋮ Gorenstein objects in the category of N-complexes ⋮ WEAK GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES ⋮ \(V\)-Gorenstein injective modules preenvelopes and related dimension ⋮ \(\mathcal{W}\)-Gorenstein \(N\)-complexes ⋮ \(\omega\)-Gorenstein injective modules and dimensions. ⋮ Special precovered categories of Gorenstein categories ⋮ Unnamed Item ⋮ Strongly \((\mathscr{X},\mathscr{Y},\mathscr{Z})\)-Gorenstein modules and applications ⋮ Duality pairs induced by one-sided Gorenstein subcategories ⋮ Gorenstein coresolving categories ⋮ (𝒲,𝒴,𝒳)-Gorenstein complexes ⋮ Strongly W-Gorenstein modules ⋮ Relative singularity categories ⋮ Gorenstein categories \(\mathcal G(\mathscr X,\mathscr Y,\mathscr Z)\) and dimensions

Cites Work

• Lifting group representations to maximal Cohen-Macaulay representations
• Gorenstein dimensions
• Semi-dualizing complexes and their Auslander categories
• Foxby duality and Gorenstein injective and projective modules

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