Let $Y$ be a Noetherian affine scheme of finite Krull dimension. Let $X$ be a connected scheme and suppose there exists a monomorphism (in the category of schemes) $X \to Y$. Then is it true that $\dim X \le \dim Y$ ?
2026-03-25 11:14:48.1774437288
Connected scheme which admits a monomorphism to an affine Noetherian scheme of finite Krull dimension
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