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Apr 5, 2010 at 2:51 comment added Emerton A side comment: in the introduction to his collected works, Zariski writes of studying Krull's work, and understanding how it might be applied to algebraic geometry. (In particular, how to apply concepts like integrally closed and higher rank valuation theory.) This provides evidence for your assertion that Krull was not himself writing as part of the algebraic geometry community (or, at least, was not in the centre of that community).
Apr 4, 2010 at 8:08 comment added Jonas Meyer Thanks, that's very interesting and informative. I had feared that your first sentence would be true, but I'm hoping that someone who was around at the time might have gone on record at some point about the influence (if any) of Gelfand's spectrum.
Apr 4, 2010 at 7:56 history answered Pete L. Clark CC BY-SA 2.5