Gorenstein Flat Covers over GF-Closed Rings

DOI10.1080/00927872.2011.553644zbMath1257.16003OpenAlexW2083387359MaRDI QIDQ2903334

Gang Yang, Liu, Zhongkui

Publication date: 8 August 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.553644

zbMATH Keywords

coherent ringsGorenstein flat modulesGorenstein flat coversGF-closed ringsGorenstein cotorsion envelopeshereditary perfect cotorsion pairs

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Homological dimension in associative algebras (16E10)

Related Items (13)

On rings with finite Gorenstein weak global dimension ⋮ Gorenstein n-flat modules and their covers ⋮ Relative Gorenstein flat modules and dimension ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Model structures and relative Gorenstein flat modules and chain complexes ⋮ Strict Mittag-Leffler conditions and Gorenstein modules ⋮ Gorenstein projective precovers ⋮ All Modules Have Gorenstein Flat Precovers ⋮ Another Gorenstein analogue of flat modules ⋮ Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules ⋮ Gorenstein flat modules with respect to duality pairs ⋮ Gorenstein Flat and Cotorsion Dimensions of Unbounded Complexes

Cites Work

• Gorenstein flatness and injectivity over Gorenstein rings.
• Injective and flat covers, envelopes and resolvents
• The flat dimensions of injective modules
• Gorenstein homological dimensions.
• Flat covers of modules
• Gorenstein flat covers of modules over Gorenstein rings
• Relative homological algebra
• Character modules
• Gorenstein flat covers and Gorenstein cotorsion modules over integral group rings.
• ALL MODULES HAVE FLAT COVERS
• Rings Over Which the Class of Gorenstein Flat Modules is Closed Under Extensions
• The homological dimensions of simple modules
• NOTES ON COTORSION MODULES
• Coherent rings with finite self-FP-injective dimension
• Foxby duality and Gorenstein injective and projective modules
• Coherent Rings and Fp -Injective Modules
• GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES

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