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

<record version="3" id="394">
 <title>fraction field</title>
 <name>FractionField</name>
 <created>2001-10-19 13:18:10</created>
 <modified>2002-03-04 01:21:15</modified>
 <type>Definition</type>
 <creator id="24" name="djao"/>
 <author id="24" name="djao"/>
 <classification>
	<category scheme="msc" code="13B30"/>
 </classification>
 <synonyms>
	<synonym concept="fraction field" alias="field of fractions"/>
	<synonym concept="fraction field" alias="quotient field"/>
 </synonyms>
 <related>
	<object name="Localization"/>
	<object name="RationalFunction"/>
 </related>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}</preamble>
 <content>Given an integral domain $R$, the {\em fraction field} of $R$ is the localization $S^{-1} R$ of $R$ with respect to the multiplicative set $S = R \setminus \{0\}$. It is always a field.</content>
</record>
