numericalsgps, a GAP package for numerical semigroups

Abstract

The package numericalsgps performs computations with and for numerical semigroups. Recently also affine semigroups are admitted as objects for calculations. This manuscript is a survey of what the package does, and at the same time of the trending topics on numerical semigroups.

12 pages

References in corpus (5)

• On factorization invariants and Hilbert functions
• Numerical semigroups with a given set of pseudo-Frobenius numbers
• Computation of Delta sets of numerical monoids
• On curves with one place at infinity
• The second Feng-Rao number for codes coming from inductive semigroups

Cited by in corpus (11)

• Counting Numerical Semigroups
• Homogeneous numerical semigroups
• Numerical semigroups with a given set of pseudo-Frobenius numbers
• Realizable sets of catenary degrees of numerical monoids
• Good subsemigroups of ${\mathbb{N}}^n$
• Generalized strongly increasing semigroups
• Patterns on the numerical duplication by their admissibility degree
• On curves with one place at infinity
• Cyclotomic numerical semigroup polynomials with at most two irreducible factors
• Factorization Theory in Commutative Monoids
• Delta sets for symmetric numerical semigroups with embedding dimension three