On dominant dimension of Noetherian rings

zbMath0701.16008MaRDI QIDQ913915

Mitsuo Hoshino

Publication date: 1989

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

dual moduledominant dimensionflat modulecogeneratorminimal injective resolutionleft noetherian left QF-3 ringright QF-3

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (12)

Frobenius bimodules and flat-dominant dimensions ⋮ The relationship between homological properties and representation theoretic realization of artin algebras ⋮ On Auslander's \(n\)-Gorenstein rings ⋮ Auslander correspondence. ⋮ An integral theory of dominant dimension of Noetherian algebras ⋮ Co-Gorenstein algebras ⋮ Symmetry and duality on \(n\)-Gorenstein rings. ⋮ On \(U\)-dominant dimension. ⋮ Localization in abelian categories and double dual functors ⋮ Syzygies and Gorenstein rings ⋮ FTF rings and Frobenius extensions ⋮ Morita dualities associated with the \(R\)-dual functors

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