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D.4.26.13 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
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