Is there a non-trivial homomorphism $f:\mathbb{R}\rightarrow\mathbb{Z}$? I.e., there exists $ a\in\mathbb{R}$ such that $f(a)\neq0$
2026-03-25 15:58:20.1774454300
Group homomorphism between integers and real
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HINT: Suppose that $f(a)\ne 0$, and consider $f\left(\dfrac{a}{2^n}\right)$ for $n\in\Bbb N$.