<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">F</font> be   <a href="vectsp_1.html#NM2">Field</a>;<br/><b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>



<a NAME="E1:44"/>
<font color="Maroon">F</font> is <a href="ideal_1.html#V7">Noetherian</a>
 
<b>by </b><i><a class="ref" href="hilbasis.html#T1" target="_self">Th1</a></i>;<br/>
<b>hence </b><a NAME="E2:44"/>
 <a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">n</font>,<font color="Maroon">F</font> is <a href="ideal_1.html#V7">Noetherian</a>
 <b>by </b><i/>;<br/>


</div>
