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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
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