numericalsgps, a GAP package for numerical semigroups
arXiv:1506.02131 · doi:10.1145/2930964.2930966
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.
arXiv comment12 pages
References in corpus (16)
- Uniquely presented finitely generated commutative monoids
- When the associated graded ring of a semigroup ring is Complete Intersection
- Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings
- Factorization invariants in half-factorial affine semigroups
- On factorization invariants and Hilbert functions
- On the Linearity of ω-primality in Numerical Monoids
- Classes of complete intersection numerical semigroups
- On the associated graded ring of a semigroup ring
- Numerical semigroups with a given set of pseudo-Frobenius numbers
- The Maximal Denumerant of a Numerical Semigroup
- Cyclotomic numerical semigroups
- On the Möbius function of the locally finite poset associated with a numerical semigroup
- Computation of Delta sets of numerical monoids
- Numerical semigroups, cyclotomic polynomials and Bernoulli numbers
- 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
- 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