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

Checks if a (fractional) ideal is an integral (or true)
ideal.

<p><p>

<h3>
Syntax:
</h3>
<pre>b := IdealIsIntegral(I);</pre>

<p>

<table>
<tr>
<td>boolean</td>
<td><pre>  b  </pre></td>
<td></td>
</tr>
<tr>
<td>Ideal</td>
<td><pre>  I  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#IdealDen">IdealDen</a>

<p>

<h3>
Description:
</h3>
A fractional ideal \a of O is an O-module
\a\subset Q(O). An integral ideal is an O-ideal which is an
O-module \a\subsetO.

<p><p>

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

<pre>

kash> o := Order (Poly (Zx,[1,6,6,6]));
Generating polynomial: x^3 + 6*x^2 + 6*x + 6

kash> I := Elt (o,[1,0,1])*o + 5*o;
<5, [1, 0, 1]>
kash> IdealIsIntegral (I);
true
kash> I := Elt (o,[1,0,1]/5)*o + 5*o;
<5, [1, 0, 1] / 5>
kash> IdealIsIntegral (I);
> false

</pre>

<p>


<hr>

<p>
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