Numerical semigroups with embedding dimension three and minimal catenary degree

zbMath1472.20133arXiv1909.09419MaRDI QIDQ5148769

Helena Martín-Cruz, Pedro A. García Sánchez

Publication date: 5 February 2021

Full work available at URL: https://arxiv.org/abs/1909.09419

zbMATH Keywords

numerical semigroupscatenary degreeBetti elementDelta set

Mathematics Subject Classification ID

Commutative semigroups (20M14) Arithmetic theory of semigroups (20M13)

Uses Software

• GAP
• numericalsgps

Cites Work

• Unnamed Item
• Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids.
• The catenary degree of Krull monoids. I
• Numerical semigroups with embedding dimension three.
• Numerical semigroups with multiplicity three and four.
• Numerical semigroups.
• Delta sets for nonsymmetric numerical semigroups with embedding dimension three
• On the delta set and the Betti elements of a BF-monoid.
• Delta sets for symmetric numerical semigroups with embedding dimension three
• The catenary and tame degree in finitely generated commutative cancellative monoids.
• Generators and relations of abelian semigroups and semigroup rings
• ON DELTA SETS OF NUMERICAL MONOIDS
• The catenary and tame degree of numerical monoids
• AFFINE SEMIGROUPS HAVING A UNIQUE BETTI ELEMENT
• numericalsgps, a GAP package for numerical semigroups
• Numerical semigroups and applications

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