New examples of rigid gorenstein unique factorization domains

DOI10.1080/00927878408823115zbMath0567.13005OpenAlexW2015270537MaRDI QIDQ3682586

Andrew R. Kustin

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823115

zbMATH Keywords

minimal free resolutionslinkage class of a complete intersectionHerzog classrigid Gorenstein unique factorization domains

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Complete intersections (14M10) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items (max. 100)

Linkage theory for algebras with pure resolutions ⋮ The minimal free resolutions of the Huneke-Ulrich deviation two Gorenstein ideals ⋮ Classification of the Tor-Algebras of Codimension Four Almost Complete Intersections ⋮ Classification of the Tor-algebras of codimension four Gorenstein local rings ⋮ DG structure on the length 4 big from small construction

Cites Work

• Properties of Noetherian rings stable under general grade reduction
• A general resolution for grade four Gorenstein ideals
• Liaison des variétés algébriques. I
• Divisor Class Groups and Deformations
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Linkage and the Koszul Homology of Ideals
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

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