Talk:Eakin–Nagata theorem

Question
Does anyone know whether “finite” in the hypothesis can be weakened to “integral”? It’s an interesting question (and makes sense to record the answer if known). Maybe the related question: if the integral closure of a ring is Noetherian, then can you say the original ring is Noetherian? —- Taku (talk) 22:37, 27 December 2019 (UTC)