Minimal injective resolutions of gorenstein rings

DOI10.1080/00927879008824112zbMath0732.16017OpenAlexW1995979663MaRDI QIDQ3358892

Yasuo Iwanaga, Hideo Sato

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824112

zbMATH Keywords

indecomposable direct summandsKrull dimensionNoetherian ringsdominant dimensioninjective dimensioncogeneratorminimal injective resolutionquasi-Frobeniusn-Gorenstein ringright n-Gorenstein ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Quasi-Frobenius rings (16L60) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

\(k\)-Gorenstein modules., On Auslander's \(n\)-Gorenstein rings

Cites Work

• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• On algebras with complete homology
• Duality for quotient modules and a characterization of reflexive modules
• A generalization of quasi-Frobenius rings
• On the ubiquity of Gorenstein rings
• On rings with finite self-injective dimension
• Semi-primary qf-3 quotient rings
• The Classification of Algebras by Dominant Dimension
• Unnamed Item