A characterization of the Arf property for quadratic quotients of the Rees algebra

DOI10.1142/S0219498820501273zbMath1453.20078arXiv1806.04448OpenAlexW2964170861WikidataQ114614630 ScholiaQ114614630MaRDI QIDQ3303792

Alessio Borzì

Publication date: 4 August 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04448

zbMATH Keywords

Rees algebranumerical semigroupsintegral closureArf numerical semigroupsArf rings

Mathematics Subject Classification ID

Commutative semigroups (20M14) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (3)

Patterns on the Numerical Duplication by Their Admissibility Degree ⋮ The arithmetic extensions of a numerical semigroup ⋮ The Hilbert-Kunz function of some quadratic quotients of the Rees algebra

Uses Software

• GAP
• numericalsgps

Cites Work

• Unnamed Item
• The numerical duplication of a numerical semigroup.
• Arf numerical semigroups.
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Parametrizing Arf numerical semigroups
• A Family of Quotients of the Rees Algebra
• numericalsgps, a GAP package for numerical semigroups
• New algebraic properties of quadratic quotients of the Rees algebra
• Stable Ideals and Arf Rings
• Une Interprétation Algébrique de la Suite des Ordres de Multiplicité D'une Branche Algébrique

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