Irreducibility of Arf numerical semigroups

DOI10.1007/s00233-022-10330-1OpenAlexW4311658494MaRDI QIDQ2684024

Meral Süer

Publication date: 15 February 2023

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13206

zbMATH Keywords

Frobenius varietyArf special gapsArf-irreducible numerical semigroupsminimal Arf system of generatorsspecial gaps

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Arithmetic theory of semigroups (20M13)

Uses Software

• GAP
• numericalsgps
• NumericalSemigroupsWithGenus

Cites Work

• Numerical semigroups.
• The oversemigroups of a numerical semigroup.
• On the second Feng-Rao distance of algebraic geometry codes related to Arf semigroups
• Irreducible numerical semigroups.
• Arf numerical semigroups.
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• Parametrizing Arf numerical semigroups
• numericalsgps, a GAP package for numerical semigroups
• Stable Ideals and Arf Rings
• Une Interprétation Algébrique de la Suite des Ordres de Multiplicité D'une Branche Algébrique
• Numerical semigroups and applications

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