Gorenstein n-flat modules and their covers

DOI10.1142/S179355711450051XzbMath1306.16003MaRDI QIDQ2925289

A. Umamaheswaran, Udhayakumar Ramalingam, Chelliah Selvaraj

Publication date: 21 October 2014

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

coherent ringsGorenstein flat modulesKaplansky classesGorenstein absolutely pure modules

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

Related Items (5)

Gorenstein σ[T-injectivity on T-coherent rings] ⋮ Some results on $G_C$-flat dimension of modules ⋮ Resolutions and stability of Gorenstein classes of modules ⋮ Gorenstein flat modules with respect to duality pairs ⋮ Gorenstein \(n\)-flat dimension and Tate homology.

Cites Work

• Injective and flat covers, envelopes and resolvents
• Gorenstein homological dimensions.
• Flat covers of modules
• Gorenstein flat covers of modules over Gorenstein rings
• Gorenstein Flat Covers over GF-Closed Rings
• ALL MODULES HAVE FLAT COVERS
• GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES

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