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Mar 17, 2013 at 14:17 comment added Torsten Schoeneberg ... R (trivial) and 0 (discrete), that should be. (Note to myself: If you have double-checked it because you knew you mix it up anyway, triple-check it.)
Feb 10, 2013 at 11:00 comment added Torsten Schoeneberg You're welcome. Btw, using the theory in Stenström, loc. cit., here is a slick proof: Over the skew field R, every module is flat, so by Popescu-Spircu, S is a localisation of R for some Gabriel topology. As one might hope and guess, the only Gabriel topologies on a skew field are the trivial and the discrete one, and their corresponding localisations are 0 and R, respectively.
Feb 10, 2013 at 10:58 history edited Torsten Schoeneberg CC BY-SA 3.0
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Feb 7, 2013 at 11:38 comment added tj_ Thanks for the additional background and the alternative proof.
Feb 6, 2013 at 21:58 history answered Torsten Schoeneberg CC BY-SA 3.0