\(V\)-Gorenstein injective modules preenvelopes and related dimension

DOI10.1007/S10114-016-5559-3zbMath1360.13040OpenAlexW2461564879WikidataQ114228372 ScholiaQ114228372MaRDI QIDQ523709

Naser Zamani, Ahmad Khojali

Publication date: 21 April 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5559-3

zbMATH Keywords

semidualizing module\(V\)-Gorenstein injective module\(V\)-injective moduleAuslander class

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Resolutions; derived functors (category-theoretic aspects) (18G10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

• Unnamed Item
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• Strongly Gorenstein projective, injective, and flat modules
• Foxby equivalence over associative rings.
• Gorenstein homological dimensions.
• Gorenstein injective and projective modules
• \(V\)-Gorenstein projective, injective and flat modules.
• Relative homological algebra
• Ω-Gorenstein Projective and Flat Covers andΩ-Gorenstein Injective Envelopes
• Gorenstein Modules and Related Modules.
• Resolutions by gorenstein injective andprojective modules and modules of finite injective dimension overgorenstein rings
• DUALIZING MODULES AND n-PERFECT RINGS
• GORENSTEIN AND Ω-GORENSTEIN INJECTIVE COVERS AND FLAT PREENVELOPES
• Foxby duality and Gorenstein injective and projective modules
• Homological aspects of semidualizing modules
• Stability of Gorenstein categories
• Stable module theory
• Covers and Envelopes byV-Gorenstein Modules

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