I'm trying to compute the irreducible components of an affine variety $V(U) = V(U_1) \cup V(U_2)$ . I already know that $V(U)$ is irreducible component if and only if the ideal $I(V(U))$ is prime, so, I suppose that I need to decompose the ideal into primes, but I don't know if there exists an algorithm (or an easier way to decompose varieties). Thanks in advance
2026-03-29 04:47:18.1774759638
Irreducible components of algebraic affine varieties
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