Suppose that $R$ is a commutative ring with unity in which every maximal ideal is finitely generated. Then is $R$ Noetherian?


marked as duplicate by Najib Idrissi, Davide Giraudo, drhab, Shaun, Stefan Hamcke Feb 5 '15 at 14:40

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  • $\begingroup$ math.stackexchange.com/questions/183199/… and the answer is no, of course. $\endgroup$ – Timbuc Feb 5 '15 at 11:51
  • $\begingroup$ the answer is no. but by addition assumption, "every prime ideal is finitely generated", it will be yes: see for example here $\endgroup$ – user 1 Feb 5 '15 at 15:59

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