Ω-Gorenstein Projective, Injective and Flat Modules

DOI10.1142/S1005386711000174zbMath1260.13015OpenAlexW2122293350WikidataQ114072161 ScholiaQ114072161MaRDI QIDQ3168897

Liu, Zhongkui, Xiao Yan Yang

Publication date: 27 April 2011

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

Full work available at URL: http://www.worldscinet.com/ac/18/1802/S1005386711000174.html

zbMATH Keywords

\(\Omega\)-Gorenstein flat module\(\Omega\)-Gorenstein injective module\(\Omega\)-Gorenstein projective module

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Homological dimension and commutative rings (13D05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Injective and flat modules and ideals in commutative rings (13C11)

Cites Work

• Unnamed Item
• Gorenstein homological dimensions and Auslander categories
• Gorenstein homological dimensions.
• Flat covers of modules
• Strongly torsion free, copure flat and Matlis reflexive modules
• On gorenstein injective modules
• Ω-Gorenstein Projective and Flat Covers andΩ-Gorenstein Injective Envelopes
• GORENSTEIN AND Ω-GORENSTEIN INJECTIVE COVERS AND FLAT PREENVELOPES

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