# radical ideal using macaulay software?

What is the radical ideal of $(u^2v-a^3,uv^2-b^3,uv-ab)$ in $\mathbb{C}[u,v,a,b]?$

Above all, to learn how to fish, what would be code that I can use to get the radical? I have not worked with macaulay (computational algebra software) before, so what is a good reference to learn about?

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I'm assuming you refer to Macaulay2 (Macaulay is an older version, not much used today).

R = QQ[u,v,a,b]
I = ideal (u^2*v-a^3,u*v^2-b^3,u*v-a*b)

So, according to Macaulay2, we have $\sqrt{I} = (a^2-ub,va-b^2,uv-ab)$.