Numerical semigroups whose fractions are of maximal embedding dimension.

DOI10.1007/s00233-010-9275-5zbMath1236.20060OpenAlexW2026615775MaRDI QIDQ637604

Harold J. Smith, David E. Dobbs

Publication date: 6 September 2011

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

Full work available at URL: https://doi.org/10.1007/s00233-010-9275-5

zbMATH Keywords

generating setsmultiplicitiesFrobenius numberssaturated numerical semigroupsmaximal embedding dimensionArf numerical semigroupsfractionally closed numerical semigroups

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Arithmetic theory of semigroups (20M13)

Related Items (6)

One half of almost symmetric numerical semigroups ⋮ Parametrizing Arf numerical semigroups ⋮ A note on half of some MED semigroups of maximal or almost maximal length ⋮ Quotients of perfect numerical semigroups ⋮ Generators of a fraction of a numerical semigroup ⋮ The doubles of one half of a numerical semigroup.

Cites Work

• Numerical semigroups.
• Proportionally modular Diophantine inequalities.
• Arf numerical semigroups.
• Patterns on numerical semigroups.
• The doubles of a numerical semigroup.
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• One half of a pseudo-symmetric numerical semigroup
• Every Numerical Semigroup is One Half of Infinitely Many Symmetric Numerical Semigroups
• Every numerical semigroup is one half of a symmetric numerical semigroup
• On numerical semigroups
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