<?xml version="1.0" encoding="UTF-8"?>

<record version="2" id="730">
 <title>proper generator theorem</title>
 <name>ProperGeneratorTheorem</name>
 <created>2009-05-03 14:10:44</created>
 <modified>2009-05-03 14:13:42</modified>
 <type>Theorem</type>
 <creator id="441" name="bci1"/>
 <modifier id="441" name="bci1"/>
 <comment>proper generator theorem,GrothendieckCategory,commutative ring,</comment>
 <author id="441" name="bci1"/>
 <classification>
	<category scheme="msc" code="02."/>
 </classification>
 <defines>
	<concept>commutative ring</concept>
 </defines>
 <related>
	<object name="GrothendieckCategory"/>
 </related>
 <keywords>
	<term>proper generator theorem</term>
	<term>GrothendieckCategory</term>
	<term>commutative ring</term>
 </keywords>
 <preamble>proper generator theorem,GrothendieckCategory,commutative ring,</preamble>
 <content>\begin{theorem}
Any commutative ring is the endomorphism ring of a proper generator in a suitably chosen Grothendieck category.
\end{theorem}</content>
</record>
