Gorenstein categories \(\mathcal G(\mathscr X,\mathscr Y,\mathscr Z)\) and dimensions

DOI10.1216/RMJ-2015-45-6-2043zbMath1336.18005OpenAlexW2302306721MaRDI QIDQ261676

Xiao Yan Yang

Publication date: 24 March 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1457960346

zbMATH Keywords

(co-)resolutionGorenstein categoryGorenstein projective/injective

Mathematics Subject Classification ID

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

Related Items (10)

Foxby equivalences associated to Gorenstein categories𝒢(𝒳,𝒴,𝒵) ⋮ A unified approach to various Gorenstein modules ⋮ Generalized Tate cohomology and Avramov–Martsinkovsky type sequences ⋮ The right Gorenstein subcategory \(r\mathcal{G}(\mathscr{C},\mathscr{D})\) ⋮ Gorenstein global dimensions relative to balanced pairs ⋮ Gorenstein objects in the category of N-complexes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Strongly \((\mathscr{X},\mathscr{Y},\mathscr{Z})\)-Gorenstein modules and applications ⋮ (𝒲,𝒴,𝒳)-Gorenstein complexes

Cites Work

• Unnamed Item
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• Gorenstein homological dimensions.
• Gorenstein injective and projective modules
• Proper resolutions and Gorenstein categories
• STRONGLY GORENSTEIN FLAT MODULES
• GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES
• Stability of Gorenstein categories
• Stable module theory
• Covers and Envelopes byV-Gorenstein Modules

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