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

Creates an ideal defined by the arguments.

<p><p>

<h3>
Syntax:
</h3>
<pre>I := Ideal(e);
I := Ideal(o, n);
I := Ideal(e, f);
I := Ideal(n, e);
I := Ideal(o, M, d);
I := Ideal(o, MO);</pre>

<p>

<table>
<tr>
<td>Ideal</td>
<td><pre>  I  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic element</td>
<td><pre>  e  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic element</td>
<td><pre>  f  </pre></td>
<td></td>
</tr>
<tr>
<td>order over Z</td>
<td><pre>  o  </pre></td>
<td></td>
</tr>
<tr>
<td>matrix</td>
<td><pre>  M  </pre></td>
<td>of integers</td>
</tr>
<tr>
<td>integer</td>
<td><pre>  d  </pre></td>
<td>denominator of M</td>
</tr>
<tr>
<td>integer</td>
<td><pre>  n  </pre></td>
<td></td>
</tr>
<tr>
<td>module</td>
<td><pre>  MO  </pre></td>
<td>over the coefficient order of o</td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
<i>no detailed description available yet</i>

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
All examples will be in the equation order of
x^3+6x^2+6x+6. Here we will create
\tt alpha*o using different methods:
<pre>

kash> o := Order(Poly(Zx, [1, 6, 6, 6]));;
kash> alpha := Elt(o, [0,1,0]);
[0, 1, 0]
kash> I := Ideal(alpha);
<[0, 1, 0]>
kash> I := alpha*o;
> <[0, 1, 0]>

</pre>

<p>


<hr>

<p>
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