GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES

DOI10.1017/S1446788709000093zbMath1198.16012OpenAlexW1995032777WikidataQ114116331 ScholiaQ114116331MaRDI QIDQ5852041

Liu, Zhongkui, Xiao Yan Yang

Publication date: 26 January 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788709000093

zbMATH Keywords

Gorenstein flat modulesGorenstein injective modulesGorenstein projective moduleschange of rings

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)

Related Items (4)

Gorenstein Flat Covers over GF-Closed Rings ⋮ Some results on $G_C$-flat dimension of modules ⋮ C-Gorenstein projective, injective and flat modules ⋮ Pure-injectivity in the category of Gorenstein projective modules

Cites Work

• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Flat covers of modules
• Gorenstein injective and projective modules
• Cotorsion modules and relative pure-injectivity
• Coherent rings with finite self-FP-injective dimension
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