[back] [prev] [next] [index] [root]

<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="AlffIdeal2EltAssure"></a>
AlffIdeal2EltAssure
</h2>

Compute a two element representation of an ideal.

<p><p>

<h3>
Syntax:
</h3>
<pre>AlffIdeal2EltAssure(I);</pre>

<p>

<table>
<tr>
<td>alff order ideal</td>
<td><pre>  I  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
This function tries to represent a given ideal
as the sum of two principal ideals (currently only
for global function fields).

<p><p>

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

<pre>

kash> AlffInit(FF(5,1));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> AlffOrders(y^3+(2*T+4)*y^2+(3*T^2+2*T+2)*y+T^7+T^6+2*T^5+3*T^4);
"Defining global variables: F, o, oi, one"
kash> a := AlffElt(o, [ 3, 0, 1 ]);
[ 3, 0, 1 ]
kash> I := (T+2)*o + a*o;
< 
[    1     0     0]
[    0 T + 2     0]
[    2     0 T + 2]
/ 1
 >
kash> AlffIdeal2EltAssure(I);
kash> I;
< [ T + 2, 0, 0 ], [ 4*T + 1, 2*T + 4, 3*T + 2 ] >
kash> AlffIdeal2EltAssure(I);
kash> I;
> < [ T + 2, 0, 0 ], [ 4*T + 1, 2*T + 4, 3*T + 2 ] >

</pre>

<p>


<hr>

<p>
<a href="../kashref.html"><- back</a>[back] [prev] [next] [index] [root]