README.md
1[![Build Status](https://travis-ci.org/gap-packages/numericalsgps.svg?branch=master)](https://travis-ci.org/gap-packages/numericalsgps)
2[![Code Coverage](https://codecov.io/github/gap-packages/numericalsgps/coverage.svg?branch=master&token=)](https://codecov.io/gh/gap-packages/numericalsgps)
3
4NumericalSgps
5=============
6
7`NumericalSgps` is a GAP package for computing with Numerical Semigroups.
8
9
10Introduction
11------------
12
13The features of the package `NumericalSgps` include
14
15- defining numerical semigroups;
16- computing several properties of numerical semigroups, namely: multiplicity, Frobenius number, (minimal) system of generators, Apéry set, gaps, fundamental gaps, etc.;
17- perform several operations on numerical semigroups and ideals, namely: intersection, quotient by an integer, decompose into irreducible semigroups, add a special gap, ...;
18-computing and testing membership to relevant families of numerical semigroups.
19
20There is a manual in the sub-directory `doc` written using the GAP package
21gapdoc which describes the available functions in detail. The pdf, html
22versions of the manual are also available there.
23
24If you have used this package, please let us know by sending
25us an email. If you have found important features missing or if there is a
26bug, we would appreciate it very much if you send us an email.
27
28The current maintainers of the package are:
29
30Manuel Delgado <mdelgado@fc.up.pt>
31
32Pedro A. García-Sánchez <pedro@ugr.es>
33
34For the full list of contributors (and contributions), please refer to to the [contributions](https://gap-packages.github.io/numericalsgps/doc/chapC.html) appendix in the manual.
35
36Installation
37------------
38This package consists only of GAP code, so for its installation please refer to the [GAP manual](https://www.gap-system.org/Manuals/doc/ref/chap76.html#X82473E4B8756C6CD).
39
40
41Acknowledgements and funding
42----------------------------
43
44Please refer to the [acknowledgements](https://gap-packages.github.io/numericalsgps/doc/chap0.html) section in the manual.
45