Let $A,B$ be commutative noetherian rings, and let $f:A\to B$ be a ring map.
Can one always factor $f$ as $A\to C\to B$ where $C$ is a noetherian ring, $A\to C$ is flat, and $C \to B$ is surjective?
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3Why would you believe that is possible? Any reason behind it? – Patrick Da Silva Jun 25 '13 at 12:56