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HSaturation

saturation of ideals
Syntax

HSaturation(I:IDEAL, J:IDEAL):IDEAL


Description
This functions returns the saturation of I with respect to J: the ideal of polynomials F such that F*G is in I for all G in J^d for some positive integer d.

It calculates the saturation using a Hilbert-driven algorithm. It differs from Saturation only when the input is inhomogeneous, in which case, HSaturation may be faster.

The coefficient ring must be a field.

Example
  Use R ::= QQ[x,y];
  I := Ideal(x^4-x, yx-2x);
  Saturation(I, Ideal(x));
  HSaturation(I, Ideal(x));


See Also