On projective resolutions of Frobenius algebras and Gorenstein rings

DOI10.1007/BF01458286zbMath0451.13006MaRDI QIDQ1147760

Kurt Behnke

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163553

zbMATH Keywords

projective resolutionsFrobenius algebrasGorenstein ringsScheja- Storch resolutionsyzygies of minimally elliptic surface singularities

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Quasi-Frobenius rings (16L60) Projective and free modules and ideals in commutative rings (13C10) Singularities of surfaces or higher-dimensional varieties (14J17)

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Cites Work

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• Projective resolutions of Cohen-Macaulay algebras
• Quasi-Frobenius-Algebren und lokal vollständige Durchschnitte
• Generic free resolutions and a family of generically perfect ideals
• Théorème de division et stabilité en géométrie analytique locale
• On Maximally Elliptic Singularities
• Equations defining rational singularities
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• On Minimally Elliptic Singularities
• Grade-Sensitive Modules and Perfect Modules