On the rings whose injective hulls are flat

DOI10.1090/S0002-9939-03-06829-1zbMath1017.13007OpenAlexW1868723366MaRDI QIDQ4804086

Shokrollah Salarian, Kazem Khashyarmanesh

Publication date: 10 April 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-06829-1

zbMATH Keywords

Gorenstein ringflat coverinjective envelope

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (7)

Weak injective covers and dimension of modules ⋮ Weak-injective modules over commutative rings ⋮ Gorenstein injective and strongly cotorsion modules. ⋮ Matlis flat modules ⋮ Injective stabilization of additive functors. II. (Co)torsion and the Auslander-Gruson-Jensen functor ⋮ A homological view on rings with flat injective hulls ⋮ Gorenstein injective envelopes and covers over two sided noetherian rings

Cites Work

• Linear-kompakte Moduln über noetherschen Ringen
• Flat covers of modules
• Minimal injective and flat resolutions of modules over Gorenstein rings
• Relative homological algebra
• Torsion-free covers
• On invariants dual to the Bass numbers
• Asymptotic behaviour of ideals relative to injective modules over commutative Noetherian rings
• Flat Covers and Flat Cotorsion Modules
• Injective hulls of flat modules
• Coprimary decomposition, n-dimension and divtstbility:Application to artinian modules^∗
• Coassociated primes

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