Cohen-Macaulay properties of ring homomorphisms

DOI10.1006/aima.1997.1684zbMath0935.13008OpenAlexW1967859445WikidataQ101085549 ScholiaQ101085549MaRDI QIDQ1380331

Luchezar L. Avramov, Hans-Bjørn Foxby

Publication date: 27 January 2000

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1684

zbMATH Keywords

typeAuslander conjectureGorenstein homomorphismCohen factorizationCohen-Macaulay defectGrothendieck's localization problemCohen-Macaulay homomorphism

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Morphisms of commutative rings (13B10) Rings of fractions and localization for commutative rings (13B30)

Related Items (15)

Gorenstein algebras and Hochschild cohomology ⋮ Some remarks on index and generalized Loewy length of a Gorenstein local ring ⋮ Adic semidualizing complexes ⋮ Multiplicities and Betti numbers in local algebra via lim Ulrich points ⋮ Ascent properties for test modules ⋮ Semi-dualizing complexes and their Auslander categories ⋮ The Cohen-Macaulay property in derived commutative algebra ⋮ On the semicontinuity problem of fibers and globalF-regularity ⋮ Cohen factorizations: weak functoriality and applications ⋮ Depth formulas, restricted Tor-dimension under base change ⋮ Some Homological Criteria for Regular, Complete Intersection and Gorenstein Rings ⋮ On the localization theorem for \(F\)-pure rings ⋮ Quasi Cohen-Macaulay properties of local homomorphisms ⋮ Reflexivity and Ring Homomorphisms of Finite Flat Dimension ⋮ Construction of modules with finite homological dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• Descent and ascent of local properties along homomorphisms of finite flat dimension
• Homological dimensions of unbounded complexes
• Bounded complexes of flat modules
• Structure of local homomorphisms
• Rapport au comité Fields sur les travaux de A. Grothendieck. (Report to the Fields Committee concerning the work of A. Grothendieck)
• Canonical elements in local cohomology modules and the direct summand conjecture
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Gorenstein local homomorphisms
• Amplitude inequalities for complexes
• Locally Gorenstein Homomorphisms
• Bass Series of Local Ring Homomorphisms of Finite Flat Dimension
• Two applications of dualizing complexes over local rings
• Minimal Injective Resolutions Under Flat Base Change
• Fibres formelles d'un anneau local noethérien
• Catenary Rings and the Altitude Formula

This page was built for publication: Cohen-Macaulay properties of ring homomorphisms