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D.4.21.13 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