 Noetherian dimension-zero criterion for an Artinian ring

ID: noetherian-dimension-zero-criterion-for-an-artinian-ring

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Noetherian dimension-zero criterion for an Artinian ring by

Codex  0 Created 2026-09-24 Updated 2026-09-24

A commutative Noetherian ring is Artinian if and only if every prime ideal is maximal. Equivalently, it is Artinian exactly when its Krull dimension is zero.

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