Numerical Semigroups A place for numerical semigroups

Ideal Class Monoid of a Numerical Semigroup

In this repository we present the tools needed to develop the examples in the papers

The notebook ideal-class-monoid contains the necessary code (written using the GAP package numericalsgps), together with some examples extracted from the first paper. The notebook isomorphism-ideal-class-monoid contains examples for the second manuscript.

L-Shapes of a Numerical Semigroup

In the repository we describe two methods to display L-Shapes of numerical semigroups with embedding dimension four (see On the number of L-shapes in embedding dimension four numerical semigroups).

Numerical Semigroups course at the Scuola Superiore di Catania

Course held at the SSC on numerical semigroups (2017); with a second edition on 2023.

The course is mainly based on the book Numerical Semigroups and Applications.

Teachers: Marco D’Anna, Vincenzo Micale, Pedro A. García-Sánchez.

Examples and tutorials can be found on this quarto site of this repository.

Mini-course at UNL (Lisboa)

This repository offers a three-day mini-course on numerical semigroups with references and notebooks with examples given with the help of the GAP package numericalsgps.

A friendly version has been created with MyST.

Tutorials numericalsgps

This repository contains several tutorials and demos of the GAP package numericalsgps. It also offers some examples of use with sagemath and julia.

Nuggets: using gap to visualize the different ways to buy nuggets

An example of different ways to visualize data using GAP and the packages numericalsgps, jupyterviz, francy or just html canvas.

This notebook was presented at the ICMS 2020 SESSION: THE JUPYTER ENVIRONMENT FOR COMPUTATIONAL MATHEMATICS.

Numerical semigroups attaining minimal catenary degree

This repository contains a GAP jupyter bloc with examples of numerical semigroups attaining minimal catenary degree according to this paper, which was part of Helena Martín Cruz Master’s dissertation.

Cyclotomic exponent sequence of a numerical semigroup

This repository contains a demo notebook about a talk on cyclotomic exponent sequences given in the II Encuentro Conjunto España-Brasil de Matemáticas RSME-SEMA-SBM-SBMAC, in the special session on Commutative semigroups.

There is also a paper related to this repo.

Mini-course at Jarandilla de la Vera

Mini course held at the marvelous residence of the Univeristy of Extremadura in Jarandilla de la Vera. It consists of three basic lectures on numerical semigroups (quarto layout).

Mini-course at CMUP

A three-day mini course held at the CMUP Univeristy of Porto. Its contents are rendered using {MyST}.