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

Initializes some useful variables for an algebraic function
field session.

<p><p>

<h3>
Syntax:
</h3>
<pre>AlffInit(k);
AlffInit(k, T);
AlffInit(k, T, y);</pre>

<p>

<table>
<tr>
<td>field</td>
<td><pre>  k  </pre></td>
<td></td>
</tr>
<tr>
<td>strings</td>
<td><pre>  T, y  </pre></td>
<td>the variable names</td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
This function is used for convenience to initialize
some useful variables
for an algebraic function field session and is not
recommended for use in programming. It initializes:
<ul>
<li> <tt> k</tt>, the constant field,
<li> <tt> w</tt>, a generator of k over its base field
if finite,
<li> <tt> kT</tt>, the polynomial ring k[T],
<li> <tt> kTf</tt>, the field k(T),
<li> <tt> kTy</tt>, the polynomial ring k[T][y],
<li> <tt> T</tt>, the variable T,
<li> <tt> y</tt>, the variable y,
<li> <tt> AlffGlobals</tt>, a record containing all the above values.
</ul>
The optional two parameter strings define the names of
variables T and y.

<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> k;
Finite field of size 5^2
kash> kTy;
Univariate Polynomial Ring in y over Univariate Polynomial Ring in T over GF(5\
^2)

kash> y^4+T^3+2;
> y^4 + T^3 + 2

</pre>

<p>


<hr>

<p>
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