On Gorenstein flat dimension

DOI10.1142/S0219498815500966zbMath1318.16014MaRDI QIDQ5251123

Samir Bouchiba

Publication date: 22 May 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Gorenstein flat modulesGorenstein flat dimensionGorenstein flat precoversGF-closed ringscopure flat dimensionGorenstein weak global dimension

Mathematics Subject Classification ID

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) Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Related Items (5)

On rings with finite Gorenstein weak global dimension ⋮ On Gorenstein global and Gorenstein weak global dimensions ⋮ Unnamed Item ⋮ Some results on Gorenstein (weak) global dimension of rings ⋮ FP-injective dimensions and Gorenstein homology

Cites Work

• AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
• On certain cohomological invariants of groups.
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Complete cohomological functors on groups
• The flat dimensions of injective modules
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Gorenstein injective and projective modules
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• PERIODIC SHORT EXACT SEQUENCES AND PERIODIC PURE-EXACT SEQUENCES
• STABILITY OF GORENSTEIN FLAT MODULES
• On gorenstein injective modules
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Beyond totally reflexive modules and back
• Rings Over Which the Class of Gorenstein Flat Modules is Closed Under Extensions
• Rings with finite Gorenstein injective dimension
• Foxby duality and Gorenstein injective and projective modules
• Finiteness aspects of Gorenstein homological dimensions
• Stability of Gorenstein categories

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