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# ResClasses

## Set-Theoretic Computations with Residue Classes

Version 4.7.1

December 18, 2017

Stefan Kohl
Email: stefan@mcs.st-and.ac.uk
Homepage: https://stefan-kohl.github.io/

### Abstract

ResClasses is a package for GAP 4 which provides a fully-featured and easy-to-use implementation of set-theoretic unions of residue classes of the integers and of a few other rings.

The class of sets which ResClasses can deal with includes the open and the closed sets in the topology on the respective ring which is induced by taking the set of all residue classes as a basis, as far as the usual restrictions imposed by the finiteness of computing resources permit this.

The package further provides slightly more specialized functionality for unions of residue classes with distinguished representatives and signed moduli.

The ResClasses package is used in a group theoretical context by the RCWA package [Koh16].

For a copy of the GNU General Public License, see the file GPL in the etc directory of the GAP distribution or see http://www.gnu.org/licenses/gpl.html.