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Nov 12, 2017 at 17:38 vote accept Dominic van der Zypen
Nov 12, 2017 at 16:14 comment added YCor This can also be stated as: the ring $\mathbf{Q}$ possesses $2^{\aleph_0}$ subrings (these are precisely the $\mathbf{Z}[S^{-1}]$ when $S$ ranges over subset of the set of primes) and these are pairwise non-isomorphic as additive groups (because for every prime $p$, we have $p\in S$ iff multiplication by $p$ is surjective in $\mathbf{Z}[S^{-1}]$).
Nov 12, 2017 at 15:59 history edited YCor CC BY-SA 3.0
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Nov 12, 2017 at 15:17 history edited Jason Starr CC BY-SA 3.0
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S Nov 12, 2017 at 14:27 history answered Jason Starr CC BY-SA 3.0
S Nov 12, 2017 at 14:27 history made wiki Post Made Community Wiki by Jason Starr