One dimensional local rings of maximal and almost maximal length

DOI10.1016/0021-8693(92)90118-6zbMath0773.13006OpenAlexW2011135721MaRDI QIDQ1208091

William C. Brown, Jürgen Herzog

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90118-6

zbMATH Keywords

Cohen-Macaulay local ringlengthrings of almost maximal lengthrings of maximal length

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

Related Items (13)

On the length equalities for one-dimensional rings ⋮ Canonical stretched rings ⋮ Random numerical semigroups and a simplicial complex of irreducible semigroups ⋮ One-dimensional almost Gorenstein rings ⋮ The Poincaré series of the module of derivations of affine monomial curves ⋮ One half of a maximal embedding dimension numerical semigroup. ⋮ Invariants associated with ideals in one-dimensional local domains ⋮ Torsion in differentials and Berger's conjecture ⋮ Gaps in nonsymmetric numerical semigroups. ⋮ Weak asymptotics in the 3-dim Frobenius problem ⋮ On the value set of modules ⋮ A length inequality for one-dimensional local rings ⋮ On a conjecture by Wilf about the Frobenius number

Cites Work

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• One-dimensional local rings with reduced associated graded ring and their Hilbert functions
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• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Points in Generic Position and Conductors of Curves with Ordinary Singularities
• Stable Ideals and Arf Rings
• On numerical semigroups

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