I consider the ideal $I \subseteq \Bbb Z$ with $I=\{n \in \Bbb Z \mid n \times \sqrt{2} \in \Bbb Z\}$. I do not manage to prove that this ideal is trivial. Can you help me ? Thanks.
2026-04-01 11:36:10.1775043370
irrationality of $\sqrt{2}$ with ring theory
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