Delta sets for nonsymmetric numerical semigroups with embedding dimension three

DOI10.1515/forum-2015-0065zbMath1458.20048OpenAlexW2568727823MaRDI QIDQ1689390

Alessio Moscariello, David Llena, Pedro A. García Sánchez

Publication date: 12 January 2018

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

Full work available at URL: https://doi.org/10.1515/forum-2015-0065

zbMATH Keywords

factorizationsdelta setsnumerical semigroupsymmetric numerical semigroupEuclid's algorithm

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Commutative semigroups (20M14) Arithmetic theory of semigroups (20M13)

Related Items (8)

On length densities ⋮ Factorization length distribution for affine semigroups. I: Numerical semigroups with three generators ⋮ Longest and shortest factorizations in embedding dimension three ⋮ Beyond Coins, Stamps, and Chicken McNuggets: An Invitation to Numerical Semigroups ⋮ The computation of factorization invariants for affine semigroups ⋮ Distances between Factorizations in the Chicken McNugget Monoid ⋮ Numerical semigroups with embedding dimension three and minimal catenary degree ⋮ Which sets are sets of lengths in all numerical monoids?

Uses Software

• GAP
• numericalsgps

Cites Work

• An algorithm to compute the primitive elements of an embedding dimension three numerical semigroup.
• Delta sets of numerical monoids are eventually periodic.
• Computation of delta sets of numerical monoids.
• Numerical semigroups.
• On the delta set and the Betti elements of a BF-monoid.
• The realization problem for delta sets of numerical semigroups
• An Overview of the Computational Aspects of Nonunique Factorization Invariants
• Shifts of generators and delta sets of numerical monoids
• On dynamic algorithms for factorization invariants in numerical monoids
• On the arithmetic of certain not integrally closed noetheian integral domains
• A Linear Diophantine Problem
• ON DELTA SETS OF NUMERICAL MONOIDS
• Delta Sets of Numerical Monoids Using Nonminimal Sets of Generators
• numericalsgps, a GAP package for numerical semigroups

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