Gorenstein local homomorphisms

DOI10.1090/S0273-0979-1990-15921-XzbMath0712.13006OpenAlexW1999749554MaRDI QIDQ3497185

Luchezar L. Avramov, Hans-Bjørn Foxby

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15921-x

zbMATH Keywords

localizationBass numberslocal differential graded ringlocal Gorenstein homomorphisms

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Morphisms of commutative rings (13B10) Rings of fractions and localization for commutative rings (13B30)

Related Items (8)

Applications of Differential Graded Algebra Techniques in Commutative Algebra ⋮ Gorenstein homological dimensions and Auslander categories ⋮ Ascent properties for test modules ⋮ Cohen-Macaulay properties of ring homomorphisms ⋮ Orthogonally spherical objects and spherical fibrations ⋮ GORENSTEIN PROJECTIVE DIMENSIONS OF COMPLEXES UNDER BASE CHANGE WITH RESPECT TO A SEMIDUALIZING MODULE ⋮ Cohen factorizations: weak functoriality and applications ⋮ Vanishing of cohomology over Cohen-Macaulay rings

Cites Work

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• Descent and ascent of local properties along homomorphisms of finite flat dimension
• Gorenstein spaces
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• On the ubiquity of Gorenstein rings
• Locally Gorenstein Homomorphisms
• Bass Series of Local Ring Homomorphisms of Finite Flat Dimension
• Minimal Injective Resolutions Under Flat Base Change

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