D.4.7.8 radicalEHV
..................
Procedure from library primdec.lib (see primdec_lib).

Usage:
radicalEHV(i); i ideal.

Return:
ideal, the radical of i.

Note:
Uses the algorithm of Eisenbud/Huneke/Vasconcelos, which
reduces the computation to the complete intersection case,
by taking, in the general case, a generic linear combination
of the input.

Works only in characteristic 0 or p large.

Example:
LIB "primdec.lib";
ring  r = 0,(x,y,z),dp;
poly  p = z2+1;
poly  q = z3+2;
ideal i = p*q^2,y-z2;
ideal pr= radicalEHV(i);
pr;
==> pr[1]=z2-y
==> pr[2]=y2z+yz+2y+2
==> pr[3]=y3+y2+2yz+2z

<font size="-1">
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; User manual for <a href="http://www.singular.uni-kl.de/"><i>Singular</i></a> version 2-0-4, October 2002,
generated by <a href="http://www.gnu.org/software/texinfo/"><i>texi2html</i></a>.
</font>

</body>
</html>
