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

<record version="7" id="188">
 <title>Hilbert basis theorem</title>
 <name>HilbertsBasisTheorem</name>
 <created>2001-10-15 18:19:53</created>
 <modified>2004-02-17 08:45:14</modified>
 <type>Theorem</type>
 <creator id="5" name="KimJ"/>
 <author id="5" name="KimJ"/>
 <classification>
	<category scheme="msc" code="13E05"/>
	<category scheme="msc" code="16P40"/>
 </classification>
 <keywords>
	<term>commutative algebra algebraic geometry</term>
 </keywords>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}</preamble>
 <content>Let $R$ be a right (left) Noetherian ring. Then $R[x]$ is also right (left) Noetherian.</content>
</record>
