up previous next
RadicalOfUnmixed

radical of an unmixed ideal
Syntax 

RadicalOfUnmixed(I:IDEAL):IDEAL

Description
This function computes the radical of an unmixed ideal.

NOTE: at the moment, this implementation works only if the coefficient ring is the rationals or has large enough characteristic.

Example 
  Use R ::= QQ[x,y];
  I := Ideal(x^2 - y^2 - 4x + 4y, x - 2);
  RadicalOfUnmixed(I);
Ideal(x^2 - y^2 - 4x + 4y, x - 2, y - 2)
-------------------------------
  Minimalized(It); -- the result may not be presented in its simplest form
Ideal(x - 2, y - 2)
-------------------------------


See Also