<!-- #################################################################### --> <!-- ## ## --> <!-- ## abstract.xml ResClasses documentation Stefan Kohl ## --> <!-- ## ## --> <!-- ## $Id: abstract.xml,v 1.13 2007/01/29 12:00:53 stefan Exp $ ## --> <!-- ## ## --> <!-- #################################################################### --> <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. <P/> 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. <P/> The package further provides slightly more specialized functionality for unions of residue classes with distinguished representatives and signed moduli. <P/> The &ResClasses; package is used in a group theoretical context by the &RCWA; package <Cite Key="RCWA"/>. </Abstract> <!-- #################################################################### -->