Symmetric numerical semigroups with arbitrary multiplicity and embedding dimension

DOI10.1090/S0002-9939-01-05819-1zbMath0972.20036MaRDI QIDQ2718989

José Carlos Rosales

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

generatorsmultiplicitiesFrobenius numbersminimal presentationssymmetric numerical semigroupsembedding dimensions

Mathematics Subject Classification ID

Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Free semigroups, generators and relations, word problems (20M05) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

Counting the numerical semigroups with a specific special gap ⋮ SUBADDITIVE PERIODIC FUNCTIONS AND NUMERICAL SEMIGROUPS ⋮ Affine monomial curves ⋮ Irreducible numerical semigroups with arbitrary multiplicity and embedding dimension ⋮ Numerical Semigroups that Differ from a Symmetric Numerical Semigroup in One Element ⋮ Numerical semigroups generated by concatenation of arithmetic sequences

Cites Work

• Unnamed Item
• Symmetric semigroups of integers generated by 4 elements
• On numerical semigroups with high embedding dimension
• On symmetric numerical semigroups
• Numerical semigroups with Apéry sets of unique expression
• Generators and relations of abelian semigroups and semigroup rings
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• AN ALGORITHMIC METHOD TO COMPUTE A MINIMAL RELATION FOR ANY NUMERICAL SEMIGROUP
• On Prime Ideals with Generic Zero x i = t n i
• The Value-Semigroup of a One-Dimensional Gorenstein Ring