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<h2><a name="IdealResidueFieldIsomorphism"></a>
IdealResidueFieldIsomorphism
</h2>

Calculates the isomorphism between the residue fields of two prime ideals.

<p><p>

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

<p>

<table>
<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>ideal</td>
<td><pre>  b  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
This function calculates an algebraic element \alpha which
corresponds to the isomorphism between the residue fields
of the prime ideals.

<p><p>

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

<pre>

kash> O:=OrderMaximal(Order(Poly(Zx,[1,0,-4,0,1])));
Generating polynomial: x^4 - 4*x^2 + 1
Discriminant: 2304 

kash> L:=Factor(5*O);
[ [ <5, [1, 1, 1, 0]>, 1 ], [ <5, [1, 4, 1, 0]>, 1 ] ]
kash> IdealResidueFieldIsomorphism(L[1][1],L[2][1]);
> [0, 4, 0, 0]

</pre>

<p>


<hr>

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