Let $\mathfrak m$ be a maximal ideal of $\mathbb Z[X_1,...,X_n]$;
then is it necessarily true that $\mathbb Z[X_1,...,X_n]/\mathfrak m$ is finite ?
2026-03-29 03:35:43.1774755343
Residue fields of $\mathbb Z[X_1,...,X_n]$ are always finite ?
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Yes, it follows from Zariski's lemma.