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Aug 31, 2010 at 14:10 comment added Andreas Thom Yes. However, to get the conclusion, one can also take an arbitrary non-torsion element and build a similar extension. (Which looks even easier.)
Aug 31, 2010 at 13:26 comment added Stefan Geschke Do you mean the ultrafilter limit with respect to the ultrafilter used to form the ultraproduct when you write $\lim_{n\to\omega}\tilde a_n$?
Aug 31, 2010 at 10:49 history answered Andreas Thom CC BY-SA 2.5