Stability of Gorenstein Classes of Modules

DOI10.1142/S100538671300059XzbMath1281.16010OpenAlexW1973105866MaRDI QIDQ2862498

Samir Bouchiba

Publication date: 15 November 2013

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

Full work available at URL: https://doi.org/10.1142/s100538671300059x

zbMATH Keywords

categories of modulesexact sequencesGorenstein injective modulesGorenstein projective modulescomplete resolutionsclasses of moduleschange of ringsGoorenstein flat modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) 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) Projective and free modules and ideals in commutative rings (13C10) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (6)

On the stability question of Gorenstein categories ⋮ $VW$-Gorenstein complexes ⋮ Gorenstein objects in the category of N-complexes ⋮ Resolutions and stability of Gorenstein classes of modules ⋮ (𝒲,𝒴,𝒳)-Gorenstein complexes ⋮ Gorenstein projective complexes with respect to cotorsion pairs

Cites Work

• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Existence of Gorenstein projective resolutions and Tate cohomology
• Strongly Gorenstein projective, injective, and flat modules
• Gorenstein homological dimensions.
• Gorenstein injective and projective modules
• First, Second, and Third Change of Rings Theorems for Gorenstein Homological dimensions
• On gorenstein injective modules
• Finiteness of Gorenstein injective dimension of modules
• A GENERALIZATION OF STRONGLY GORENSTEIN PROJECTIVE MODULES
• Gorenstein derived functors
• Foxby duality and Gorenstein injective and projective modules

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