I'd like to compute $\mathbb{Q} \otimes_{\mathbb{Z}} \mathbb{Z}^{n}$, for some natural number $n$, and $\mathbb{Q} \otimes_{\mathbb{Z}} \mathbb{Z}/n\mathbb{Z}$.
2026-05-05 23:51:23.1778025083
Computing tensor products of $\mathbb{Z}$-modules.
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Hint: for the first one, tensor product is distributive with respect to a finite sum. As for the second, write $1=\frac{n}{n}$ in $\mathbb{Q}$.