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

Creates a univariate polynomial algebra over a ring or returns the
polynomial algebra of a polynomial.

<p><p>

<h3>
Syntax:
</h3>
<pre>Sx := PolyAlg(S [, name]);</pre>

<p>

<table>
<tr>
<td>polynomial algebra</td>
<td><pre>  Sx  </pre></td>
<td></td>
</tr>
<tr>
<td>ring or polynomial</td>
<td><pre>  S  </pre></td>
<td></td>
</tr>
<tr>
<td>string</td>
<td><pre>  name  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#Poly">Poly</a>, <a href="kashref.html#PolyAlgCoef">PolyAlgCoef</a>, <a href="kashref.html#Zx">Zx</a>

<p>

<h3>
Description:
</h3>
Creates a univariate polynomial algebra S[x] over a ring S.
<tt> Zx</tt> is a predefined constant for the polynomial algebra
over the integers. A name for the variable can be given as a
second parameter.

If S is a polynomial the polynomial algebra of S is returned.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Creating a polynomial algebra over an order and
computing a minimal polynomial:
<pre>

kash> o := Order(Poly(Zx, [1 ,0 , 73, -280, -2399]));
Generating polynomial: x^4 + 73*x^2 - 280*x - 2399

kash> ox := PolyAlg(o);
Univariate Polynomial Ring in x over Generating polynomial: x^4 + 73*x^2 - 280\
*x - 2399

kash> M := Mat (o,[[1,2],[2,3]]);
[1 2]
[2 3]
kash> MatMinPoly (M);
> x^2 - 4*x - 1

</pre>

<p>


<hr>

<p>
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