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 Macaulay2 (computational algebra software) before, so what is a good reference to learn about?