<?xml version="1.0" encoding='utf-8'?>
<!DOCTYPE wml PUBLIC "-//WAPFORUM//DTD WML 1.1//EN" "http://www.wapforum.org/DTD/wml_1.1.xml">
<wml>
<card id="card1" title="Finitely generated module - Page 1 - Wikipedia">
<p>
<a accesskey="3" href="page.php?w=finitely_generated_module&amp;p=2">3.Next</a>
</p>
<p>In <a href="page.php?w=mathematics">mathematics</a>, a <b>finitely generated module</b> is a <a href="page.php?w=module_%28mathematics%29">module</a> that has a <a href="page.php?w=finite_set">finite</a> <a href="page.php?w=generating_set_of_a_module">generating set</a>. A finitely generated module over a <a href="page.php?w=ring_%28mathematics%29">ring</a> R may also be called a <b>finite R-module</b>, <b>finite over R</b>, or a <b>module of finite type</b>.</p>

<p>Related concepts include <b>finitely cogenerated modules</b>, <b>finitely presented</b></p><p>
<a accesskey="3" href="page.php?w=finitely_generated_module&amp;p=2">3.Next</a>
</p>

<do type="prev" label="Search">
        <go href="search.wml"/>
</do>

</card>
</wml>
