\(V\)-Gorenstein projective, injective and flat modules.

DOI10.1216/RMJ-2012-42-6-2075zbMath1273.16010OpenAlexW2028324204WikidataQ114060102 ScholiaQ114060102MaRDI QIDQ1945740

Liu, Zhongkui, Xiao Yan Yang

Publication date: 9 April 2013

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

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1361800619

zbMATH Keywords

dualizing modules\(V\)-Gorenstein flat modules\(V\)-Gorenstein injective modules\(V\)-Gorenstein projective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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)

Related Items (2)

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

Cites Work

• Unnamed Item
• Strongly Gorenstein projective, injective, and flat modules
• Gorenstein homological dimensions.
• Flat covers of modules
• Relative homological algebra
• A noncommutative generalization of Auslander's last theorem.
• ALL MODULES HAVE FLAT COVERS
• Ω-Gorenstein Projective and Flat Covers andΩ-Gorenstein Injective Envelopes
• DUALIZING MODULES AND n-PERFECT RINGS
• Coherent rings with finite self-FP-injective dimension
• Stable module theory
• Covers and Envelopes byV-Gorenstein Modules

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