Is There a User-Friendly Program for Checking Radical Ideals in Polynomials?

[GargleBlast42]

Hello,
I was wondering, if there is some good and easy to use computer programm, that, given a set of polynomials, tells me if they generate a radical ideal. Preferably as a Mathematica package.

 

[Simon_Tyler]

Hi GargleBlast42,

I'm not that familiar with these types of problems, but I know that Mathematica implements Groebner bases for sets of polynomials - so it should be able to do this natively. Try this http://reference.wolfram.com/mathematica/tutorial/ComplexPolynomialSystems.html" .

The open source CAS http://www.sagemath.org/" .

Simon

 

[tmccullough]

GargleBlast42, I presume that you are associated with a university. Most math departments (that I've seen) have magma available for free.

It's awesome for this, and many other, symbolic algebra problems. If you continue with algebra, it's a really good tool to have at your disposal.