Gorenstein rings as specializations of unique factorization domains

DOI10.1016/0021-8693(84)90059-0zbMath0531.13014OpenAlexW2048275852MaRDI QIDQ788059

Bernd Ulrich

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90059-0

zbMATH Keywords

Cohen-Macaulay ringGorenstein ringUFDcompletionregular local ringsingular locusmodule of differentialsunique factorization ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Singularities in algebraic geometry (14B05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Regular local rings (13H05) Complete rings, completion (13J10)

Related Items (5)

Deformation and Linkage of Gorenstein Algebras ⋮ Reduction of the small Cohen-Macaulay conjecture to excellent unique factorization domains ⋮ Unnamed Item ⋮ A study of quasi-Gorenstein rings. II: Deformation of quasi-Gorenstein property ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem

Cites Work

• Unnamed Item
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• Cotangent functors of curve singularities
• Differentielle Eigenschaften der Invarianten regulärer Algebren
• On the symmetric and Rees algebra of an ideal generated by a d-sequence
• On the symmetric and Rees algebras of an ideal
• Almost complete intersections and factorial rings
• Approximation complexes of blowing-up rings
• Liaison des variétés algébriques. I
• On smoothable curve singularities: Local methods
• Ein Cohen-Macaulay Kriterium mit Anwendungen auf den Konormalenmodul und den Differentialmodul
• The embedding dimension of the formal moduli space of certain curve singularities
• Certain invariant subrings are Gorenstein. I
• Differentielle Eigenschaften der Lokalisierungen analytischer Algebren. (Differential properties of localizations of analytic algebras)
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Criteria for equality of ordinary and symbolic powers of primes
• Differentialmoduln eindimensionaler lokaler Ringe
• A note on factorial rings
• Sur les anneaux factoriels
• Deformation von Cohen-Macaulay Algebren.
• Symbolic powers of prime ideals and special graded algebras
• Divisorenklassengruppen quasihomogener Singularitäten.
• Rees rings and form rings of almost complete intersections
• Multiplicative Structure on Resolutions of Algebras Defined by Herzog Ideals
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• The Cotangent Complex of a Morphism
• Functors of Artin Rings
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

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