Talk:Noetherian ring

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The article states that noetherian implies every ideal is finitely generated; shouldn't that be every proper ideal is finitely generated, since for example, Q is noetherian (every field is), and yet Q cannot be finitely generated? Chas zzz brown 20:11 Apr 2, 2003 (UTC)

Never mind. Q is finitely generated - as an ideal. Chas zzz brown 10:22 Apr 3, 2003 (UTC)