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D.4.21.14 equiRadical

Procedure from library primdec.lib (see primdec_lib).

Usage:
equiRadical(I); I ideal

Return:
ideal, intersection of associated primes of I of maximal dimension.

Note:
A combination of the algorithms of Krick/Logar (with modifications by Laplagne) and Kemper is used. Works also in positive characteristic (Kempers algorithm).

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= equiRadical(i);
pr;
==> pr[1]=z2-y
==> pr[2]=y2z+z3+2z2+2