Wiki for Numerical Semigroups
12 Jun 2025Ángel Álamo has created a wiki for numerical semigroups. Contributions and revisions are welcome.
Ángel Álamo has created a wiki for numerical semigroups. Contributions and revisions are welcome.
Christopher O’Neill’s post on Classifying numerical semigroups using polyhedral geometry at Recent Trends in Discrete and Algorithm Mathematics.
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 manuscript. The notebook isomorphism-ideal-class-monoid contains examples for the second manuscript. The file poset-normalized-ideal contains examples and the code needed for the poset of normalized ideals of a numerical semigroup with multiplicity three, while the file lattice-normaliced-ideals-ns has computations dealing with when this poset is a lattice.
Read Manuel Delgado’s post on the Wilf Conjecture at Recent Trends in Discrete and Algorithm Mathematics.
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).
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.
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.
This repository contains several tutorials and demos of the GAP package numericalsgps. It also offers some examples of use with sagemath and julia.
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.
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.
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 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).
A three-day mini course held at the CMUP Univeristy of Porto. Its contents are rendered using {MyST}.