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

<record version="3" id="421">
 <title>cancellation ring</title>
 <name>CancellationRing</name>
 <created>2001-10-20 14:43:20</created>
 <modified>2002-07-25 19:35:28</modified>
 <type>Definition</type>
 <creator id="24" name="djao"/>
 <author id="24" name="djao"/>
 <author id="146" name="rmilson"/>
 <classification>
	<category scheme="msc" code="13-00"/>
 </classification>
 <related>
	<object name="IntegralDomain"/>
	<object name="ZeroDivisor"/>
 </related>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}</preamble>
 <content>A ring $R$ is a {\em cancellation ring} if for all $a,b \in R$, if $a \cdot b = 0$ then either $a=0$ or $b=0$.</content>
</record>
