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Timeline for Exotic principal ideal domains

Current License: CC BY-SA 2.5

12 events
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Jan 10, 2019 at 15:25 answer added David E Speyer timeline score: 4
May 16, 2011 at 13:40 vote accept Qiaochu Yuan
Feb 24, 2011 at 19:30 answer added anonymous timeline score: 15
Feb 24, 2011 at 17:13 answer added Georges Elencwajg timeline score: 3
Feb 24, 2011 at 16:10 comment added Qiaochu Yuan Yes, this is covered by "localizations of these."
Feb 24, 2011 at 15:39 comment added Georges Elencwajg As an aside (that absolutely doesn't answer the question ...) let me recall that between the innocent-looking rings $\mathbb Z$ and $\mathbb Q$ there is a continuum of rings, all of them principal ideal domains, obtained by inverting arbitrary subsets of the prime numbers
Feb 24, 2011 at 15:05 answer added Pete L. Clark timeline score: 18
Feb 24, 2011 at 14:30 comment added Georges Elencwajg Dear Laurent, I don't think you can say "more generally" because Kevin's example consists of convergent power series, whereas yours are of algebraic nature.
Feb 24, 2011 at 12:46 comment added Laurent Moret-Bailly More generally, there are lots of discrete valuation rings arising from geometry (local ring of the generic point of a divisor in a smooth variety); I don't suppose they count as "exotic".
Feb 24, 2011 at 12:38 answer added Emil Jeřábek timeline score: 15
Feb 24, 2011 at 11:19 comment added Kevin Ventullo Germs of holomorphic functions at some $z_0\in\mathbb{C}$?
Feb 24, 2011 at 10:54 history asked Qiaochu Yuan CC BY-SA 2.5