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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="vectsp_1.html#NM2">Field</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>



<a NAME="E1:44"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="ideal_1.html#V7">Noetherian</a>
 
<b>by </b><i><a class="ref" href="hilbasis.html#T34" target="_self">Th34</a></i>;<br/>
<b>hence </b><a NAME="E2:44"/>
 <a href="polynom1.html#K30">Polynom-Ring</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font> is <a href="ideal_1.html#V7">Noetherian</a>
 <b>by </b><i><a class="ref" href="hilbasis.html#T33" target="_self">Th33</a></i>;<br/>


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