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2026-03-28 01:35:12.1774661712

Prove the Krull dimension of coordinate ring of $y^2=x^3$ is $1$.

71 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At 28 Mar 2026 - 1:35 2026-03-28 01:45:12.1774662312

$K$ is an algebraically closed field.

The coordinate ring is isomorphic to $K[t^2,t^3]$, whose Krull dimension is of at most $2$(by an hint in the exercise without proof), but how to show it’s exactly $1$ ?

krull-dimension
Original Q&A

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