Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 4713

Macaulay2-1.3.1-8.fc15.i686.rpm

<?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>map(Module) -- identity map</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
  <tr>
    <td><div><a href="_map_lp__Ring_cm__Matrix_rp.html">next</a> | <a href="_map_lp..._cm_sp__Degree_sp_eq_gt_sp..._rp.html">previous</a> | <a href="_map_lp__Ring_cm__Matrix_rp.html">forward</a> | <a href="_map_lp..._cm_sp__Degree_sp_eq_gt_sp..._rp.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>map(Module) -- identity map</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>map M</tt></div>
</dd></dl>
</div>
</li>
<li><span>Function: <a href="_map.html" title="make a map">map</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>M</tt>, <span>a <a href="___Module.html">module</a></span></span></li>
</ul>
</div>
</li>
<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Matrix.html">matrix</a></span>, the identity map on <tt>M</tt></span></li>
</ul>
</div>
</li>
<li><div class="single"><a href="_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_map_lp..._cm_sp__Degree_sp_eq_gt_sp..._rp.html">Degree => ...</a>,  -- set the degree of a map</span></li>
<li><span><a href="_map_lp__Ring_cm__Ring_cm__Matrix_rp.html">DegreeLift => ...</a>,  -- make a ring map</span></li>
<li><span><a href="_map_lp__Ring_cm__Ring_cm__Matrix_rp.html">DegreeMap => ...</a>,  -- make a ring map</span></li>
</ul>
</div>
</li>
</ul>
</div>
<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : f = map ZZ^3

o1 = | 1 0 0 |
     | 0 1 0 |
     | 0 0 1 |

              3        3
o1 : Matrix ZZ  &lt;--- ZZ</pre>
</td></tr>
<tr><td><pre>i2 : g = id_(ZZ^3)

o2 = | 1 0 0 |
     | 0 1 0 |
     | 0 0 1 |

              3        3
o2 : Matrix ZZ  &lt;--- ZZ</pre>
</td></tr>
<tr><td><pre>i3 : f === g

o3 = true</pre>
</td></tr>
</table>
</div>
</div>
<div class="single"><h2>Caveat</h2>
<div>may be removed</div>
</div>
<div class="single"><h2>See also</h2>
<ul><li><span><a href="_id.html" title="identity map">id _ Module</a> -- identity map</span></li>
</ul>
</div>
</div>
</body>
</html>