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

<record version="3" id="390">
 <title>multiplicative set</title>
 <name>MultiplicativeSet</name>
 <created>2001-10-19 12:57:28</created>
 <modified>2002-03-01 20:30:11</modified>
 <type>Definition</type>
 <creator id="24" name="djao"/>
 <author id="24" name="djao"/>
 <classification>
	<category scheme="msc" code="13B30"/>
	<category scheme="msc" code="16U20"/>
 </classification>
 <defines>
	<concept>multiplicative subset</concept>
 </defines>
 <related>
	<object name="localization"/>
 </related>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}</preamble>
 <content>Let $A$ be a set on which a multiplication operation $\cdot: A \times A \longrightarrow A$ has been defined. A {\em multiplicative subset} of $A$ is a subset $S \subset A$ with the property that $s \cdot t \in S$ for every $s,t \in S$.</content>
</record>
