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

Computes an equation order of the given algebraic function field.

<p><p>

<h3>
Syntax:
</h3>
<pre>o := AlffOrderEqInfty(F);</pre>

<p>

<table>
<tr>
<td>algebraic function field order</td>
<td><pre>  o  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic function field</td>
<td><pre>  F  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffOrderEqFinite">AlffOrderEqFinite</a>, <a href="kashref.html#Alff">Alff</a>, <a href="kashref.html#AlffElt">AlffElt</a>

<p>

<h3>
Description:
</h3>
Let R be the valuation ring of the degree valuation of k(T),
that is  R = {g/h |  g,h\in k[T], h\neq 0,
\deg(g) &lt;= \deg(h)}, 
and let F/k(T) be an algebraic function field.
This function computes an R-equation order R[rho]
where rho \in F generates F over k(T) and is
integral over R.

<p><p>

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

<pre>

kash> AlffInit(FF(5,2));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> F := Alff(y^3+T^4+1);
Algebraic function field defined by
.1^3 + .2^4 + 1
over
Univariate rational function field over GF(5^2)
Variables: T

kash> AlffOrderEqInfty(F);
> Infinite equation order of 
Algebraic function field defined by
.1^3 + .2^4 + 1
over
Univariate rational function field over GF(5^2)
Variables: T


</pre>

<p>


<hr>

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