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

Retrieves the matrix of the module representation.

<p><p>

<h3>
Syntax:
</h3>
<pre>m := ModuleMatrix(M);</pre>

<p>

<table>
<tr>
<td>matrix </td>
<td><pre>  m  </pre></td>
<td></td>
</tr>
<tr>
<td>module </td>
<td><pre>  M  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
The module is represented by a pseudomatrix
over a Dedekind ring and consists of a matrix and a list of ideals
(one for each column).
See description of <tt> Module</tt> for details.

If the module is a zero module false is returned.

<p><p>

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

<pre>

kash> O:=OrderMaximal(Poly(Zx,[1, 5, -6, -53, 3, 206, 244]));;
kash> IL:=List(Factor(2*O),f->f[1]);;
kash> List(IL,IdealGenerators);;
kash> EL1:=List(Factor(5*O),f->IdealGen(f[1],2));;
kash> EL2:=List(Factor(13*O),f->IdealGen(f[1],2));;
kash> EL2[3]:=IdealGen(Factor(7*O)[1][1],2);;
kash> EL3:=List(Factor(3*O),f->IdealGen(f[1],2));;
kash> EL3[3]:=IdealGen(Factor(7*O)[2][1],2);;
kash> M:=Module(IL,Mat(O,[EL1,EL2,EL3]));
{<2, [0, 2, 0, 3, 0, 2]><2, [0, 0, 3, 0, 1, 2]><2, [3, 3, 1, 2, 0, 0]>
[[12, 17, 15, 7, 9, 5] [19, 18, 15, 1, 10, 24] [4, 22, 4, 10, 23, 4]]
[[10, 8, 0, 1, 0, 0] [1, 12, 5, 1, 0, 0] [1, 1, 0, 0, 0, 0]]
[[1, 1, 0, 0, 0, 0] [1, 0, 1, 0, 0, 0] [3, 1, 0, 0, 0, 0]]
}

kash> ModuleMatrix(M);
> [[12, 17, 15, 7, 9, 5] [19, 18, 15, 1, 10, 24] [4, 22, 4, 10, 23, 4]]
[[10, 8, 0, 1, 0, 0] [1, 12, 5, 1, 0, 0] [1, 1, 0, 0, 0, 0]]
[[1, 1, 0, 0, 0, 0] [1, 0, 1, 0, 0, 0] [3, 1, 0, 0, 0, 0]]

</pre>

<p>


<hr>

<p>
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