<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- -->
<!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html -->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" >
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head><title>substitution and maps between rings</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
<tr>
<td><div><a href="_substitute.html">next</a> | <a href="_importing_spand_spexporting_spmatrices.html">previous</a> | <a href="_modules.html">forward</a> | <a href="_matrices.html">backward</a> | <a href="index.html">up</a> | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div>
</td>
</tr>
</table>
<div><a href="index.html" title="">Macaulay2Doc</a> > <a href="_substitution_spand_spmaps_spbetween_springs.html" title="">substitution and maps between rings</a></div>
<hr/>
<div><h1>substitution and maps between rings</h1>
<div><h2>An overview</h2>
<p/>
For additional common operations and a comprehensive list of all routines in Macaulay2 which return or use ring maps, see <a href="___Ring__Map.html" title="the class of all ring maps">RingMap</a>.</div>
<div><h3>Menu</h3>
<h4>Substitution</h4>
<ul><li><span><a href="_substitute.html" title="substituting values for variables">substitute</a> -- substituting values for variables</span></li>
<li><span><a href="_working_spwith_spmultiple_springs.html" title="">working with multiple rings</a></span></li>
</ul>
<h4>Ring maps</h4>
<ul><li><span><a href="_basic_spconstruction_cm_spsource_spand_sptarget_spof_spa_spring_spmap.html" title="">basic construction, source and target of a ring map</a></span></li>
<li><span><a href="_evaluation_spand_spcomposition_spof_spring_spmaps.html" title="">evaluation and composition of ring maps</a></span></li>
<li><span><a href="_kernel_spand_spimage_spof_spa_spring_spmap.html" title="">kernel and image of a ring map</a></span></li>
<li><span>graphIdeal, see <span><a href="_graph__Ideal_lp__Ring__Map_rp.html" title="the ideal of the graph of the regular map corresponding to a ring map">graphIdeal(RingMap)</a> -- the ideal of the graph of the regular map corresponding to a ring map</span></span></li>
<li><span>graphRing, see <span><a href="_graph__Ring_lp__Ring__Map_rp.html" title="the coordinate ring of the graph of the regular map corresponding to a ring map">graphRing(RingMap)</a> -- the coordinate ring of the graph of the regular map corresponding to a ring map</span></span></li>
</ul>
</div>
</div>
</body>
</html>
