The semigroup of values of a one-dimensional local ring with two minimal primes

DOI10.1080/00927870008827044zbMath0964.13013OpenAlexW1997753235MaRDI QIDQ4500812

Ralf Fröberg, Valentina Barucci, Marco D'Anna

Publication date: 22 November 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008827044

zbMATH Keywords

conductornormalisationone-dimensional ringsemigroup of a ring

Mathematics Subject Classification ID

Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Valuations and their generalizations for commutative rings (13A18) Regular local rings (13H05)

Related Items (12)

On trigonal non-Gorenstein curves with zero Maroni invariant ⋮ Trigonal non-Gorenstein curves ⋮ On the Colength of Fractional Ideals ⋮ Max Noether's theorem for singular curves ⋮ Embedding Dimension of a Good Semigroup ⋮ The Apéry Set of a Good Semigroup ⋮ Properties and applications of the Apéry set of good semigroups in \(\mathbb{N}^d\) ⋮ Good subsemigroups of ℕn ⋮ The tree of good semigroups in \(\mathbb{N}^2\) and a generalization of the Wilf conjecture ⋮ The type of a good semigroup and the almost symmetric condition ⋮ Standard bases for fractional ideals of the local ring of an algebroid curve ⋮ Arf good semigroups with fixed genus

Cites Work

• Gorenstein curves and symmetry of the semigroup of values
• Längenberechnung und kanonische Ideale in eindimensionalen Ringen
• Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings
• One-dimensional almost Gorenstein rings
• On the number of minimal prime ideals in the completion of a local domain
• On canonical ideals, intersection numbers, and Weierstrass points on Gorenstein curves
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• 1-dimensional Cohen-Macaulay rings
• Semigroups associated to singular points of plane curves.
• Gorenstein conducive domains
• The canonical module of a one-dimensional reduced local ring
• A General Theory of One-dimensional Local Rings

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