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D.4.7.7 sat
Procedure from library elim.lib (see elim_lib).
- Usage:
- sat(id,j); id=ideal/module, j=ideal
- Return:
- ideal/module
saturation of id with respect to j (= union_(k=1...) of id:j^k)
- Note:
- result is a standard basis in the basering
Example:
| | LIB "elim.lib";
ring r = 2,(x,y,z),dp;
poly F = x5+y5+(x-y)^2*xyz;
ideal j = jacob(F);
sat(j,maxideal(1));
==> _[1]=x3+x2y+xy2+y3
==> _[2]=y4+x2yz+y3z
==> _[3]=x2y2+y4
sat(j,maxideal(2));
==> _[1]=x3+x2y+xy2+y3
==> _[2]=y4+x2yz+y3z
==> _[3]=x2y2+y4
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See also:
modSat;
sat_with_exp.
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