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<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="EltIsInIdeal"></a>
EltIsInIdeal
</h2>

missing shortdoc

<p><p>

<h3>
Syntax:
</h3>
<pre>b := EltIsInIdeal (alpha,a);</pre>

<p>

<table>
<tr>
<td>boolean</td>
<td><pre>  b  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic element</td>
<td><pre>  alpha  </pre></td>
<td></td>
</tr>
<tr>
<td>ideal</td>
<td><pre>  a  </pre></td>
<td></td>
</tr>
<tr>
<td></td>
<td><pre>  INDES test on; element of an ideal  </pre></td>
<td></td>
</tr>
<tr>
<td></td>
<td><pre>  check for; element of an ideal  </pre></td>
<td></td>
</tr>
<tr>
<td></td>
<td><pre>  algebraic number; element of an ideal test  </pre></td>
<td></td>
</tr>
<tr>
<td></td>
<td><pre>  element of an ideal test  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
The <tt> EltIsInIdeal</tt> function returns <tt> true</tt>
if the algebraic number \alpha lies in the ideal
\a. Otherwise <tt> false</tt> is returned.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>

<pre>

kash> o := Order (Poly(Zx,[1,0,73,-280,-2399]));;
kash> O := OrderMaximal (o);;
kash> a := 2*O + Elt (O,[0, 1, -1, -2])*O;
<2, [0, 1, -1, -2]>
kash> EltIsInIdeal (2,a);
true
kash> EltIsInIdeal (1,a^-1);
true
kash> EltIsInIdeal (Elt(O,1/3),a^-1);
> false

</pre>

<p>


<hr>

<p>
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