STABILITY OF GORENSTEIN FLAT CATEGORIES

DOI10.1017/S0017089511000528zbMath1248.16007MaRDI QIDQ3116847

Gang Yang, Liu, Zhongkui

Publication date: 12 February 2012

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

coherent ringsGorenstein flat modulesGorenstein injective modulescategories of complexesGorenstein flat categories

Mathematics Subject Classification ID

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) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (14)

On Ding projective complexes ⋮ Gorenstein flat modules relative to injectively resolving subcategories ⋮ GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES ⋮ \(n\)-cotorsion pairs ⋮ HOMOLOGY THEORIES FOR COMPLEXES BASED ON FLATS ⋮ Model structures and relative Gorenstein flat modules and chain complexes ⋮ The stable category of Gorenstein flat sheaves on a noetherian scheme ⋮ Stability of strongly Gorenstein flat modules. ⋮ Resolutions and stability of Gorenstein classes of modules ⋮ Gorenstein projective complexes with respect to cotorsion pairs ⋮ Gorenstein flat modules with respect to duality pairs ⋮ STABILITY OF GORENSTEIN FLAT MODULES ⋮ Stability of Gorenstein flat categories with respect to a semidualizing module ⋮ New model structures and projective (injective) cotorsion pairs

Cites Work

• Unnamed Item
• AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Homological dimensions of unbounded complexes
• Flat covers of complexes
• Gorenstein homological dimensions.
• Gorenstein injective and projective modules
• Homological dimensions and regular rings
• STABILITY OF GORENSTEIN FLAT MODULES
• Rings Over Which the Class of Gorenstein Flat Modules is Closed Under Extensions
• Rings with finite Gorenstein injective dimension
• Gorenstein derived functors
• Gorenstein model structures and generalized derived categories
• Global Gorenstein dimensions
• Stability of Gorenstein categories

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