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RadicalOfUnmixed

Syntax

RadicalOfUnmixed(I:IDEAL):IDEAL
    

Summary

radical of an unmixed 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 ::= Q[x,y];
I := Ideal(x^2 - y^2 - 4x + 4y, x - 2);
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RadicalOfUnmixed(I);
Ideal(x^2 - y^2 - 4x + 4y, x - 2, y - 2)
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Minimalized(It); -- the result may not be presented in its simplest form
Ideal(x - 2, y - 2)
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See Also