Let be $A$ a ring (comutative, noetherian) and $I$ an ideal.
$$ \text{dim}(A/I)=\sup\{ \text{dim}(A/P): P\in\text{spec}(A), P\supset I\}$$
Is it true?
2026-03-27 16:46:30.1774629990
Krull Dimension and sup
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