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Show that $\{(t,t^2,t^3) : t\in\mathbb{C} \}$ is an algebraic set in $\mathbb{A}^3$.

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Any ideas so far? –  Daan Michiels Feb 5 '13 at 14:53
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You really need to start providing context to your questions, and please read the FAQ about how to ask questions. Asking in the imperative is considered rude. –  Tobias Kildetoft Feb 5 '13 at 14:53
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Consider the system of polynomial equations $$\begin{cases} y = x^2 \\ z = x^3. \end{cases}$$ I suggest you prove that the given set is the solution set of this system.

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