Examples for the course on numerical semigroups at the Scuola superiore di Catania
In this folder there are some examples of the use of gap for the contents of the course. Also, some exercises are proposed.
We will follow mainly this book on numerical semigroups and this other with some applications.
This repository contains a live tutorial of numericalsgps using thebelab.
- First steps in GAP
- Firts lesson on numericalsgps: minimal generators, gaps, Apéry sets
- Second lesson on numericalsgps: pseudo-Frobenius numbers, some "extreme" families (maximal embeddin dimension, irreducible, almost symmetric)
- Third lesson on numericalsgps: gluings, Hilbert series, minimal presentations I
- Fourth lesson on numericalsgps: computing minimal presentations, presentations and binomial ideals, complete intersections
- Fifth lesson on numericalsgps: non-unique factorization invariants, primality, divisors
- Sixth lesson on numericalsgps: ideals of numerical semigroups