I am supposed to compute the krull-dimension of $k[X, Y, Z]/(Y-Z^2, XZ-Y^2)$, where $k$ is a field, and feel quite at sea, as we have only looked at principal ideals and obvious applications of the noether normalization lemma. How can I approach this?
2026-03-25 04:41:38.1774413698
Krull-Dimension of $k[X, Y , Z]/(Y-Z^2, XZ-Y^2)$
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