<?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>generator -- provide a single generator</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
<tr>
<td><div><a href="_generators.html">next</a> | <a href="_generate__Assertions.html">previous</a> | <a href="_generators.html">forward</a> | <a href="_generate__Assertions.html">backward</a> | up | <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>
<hr/>
<div><h1>generator -- provide a single generator</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>generator I</tt></div>
</dd></dl>
</div>
</li>
<li><div class="single">Inputs:<ul><li><span><tt>I</tt>, <span>an <a href="___Ideal.html">ideal</a></span> or <span>a <a href="___Module.html">module</a></span></span></li>
</ul>
</div>
</li>
<li><div class="single">Outputs:<ul><li><span>the single generator of <tt>I</tt>, if it has just one</span></li>
</ul>
</div>
</li>
</ul>
</div>
<div class="single"><h2>Description</h2>
<div><p>If the number of apparent generators is greater than 1, then <a href="_trim.html" title="minimize generators and relations">trim</a> will be called.</p>
<table class="examples"><tr><td><pre>i1 : I = ideal (4,6)
o1 = ideal (4, 6)
o1 : Ideal of ZZ</pre>
</td></tr>
<tr><td><pre>i2 : generator I
o2 = 2</pre>
</td></tr>
<tr><td><pre>i3 : M = image matrix {{4,6},{0,0}}
o3 = image | 4 6 |
| 0 0 |
2
o3 : ZZ-module, submodule of ZZ</pre>
</td></tr>
<tr><td><pre>i4 : generator M
o4 = | 2 |
| 0 |
o4 : image | 2 |
| 0 |</pre>
</td></tr>
</table>
</div>
</div>
<div class="single"><h2>See also</h2>
<ul><li><span><a href="_generators.html" title="provide matrix or list of generators">generators</a> -- provide matrix or list of generators</span></li>
</ul>
</div>
<div class="waystouse"><h2>Ways to use <tt>generator</tt> :</h2>
<ul><li>generator(Ideal)</li>
<li>generator(Module)</li>
</ul>
</div>
</div>
</body>
</html>
