Let $R$ - commutative ring
$M' \subset M$, $N$ - $R$ - modules
How can i build an example for map $f: M' \otimes N \rightarrow M \otimes N$ that is not injective and $f(a \otimes b) = a \otimes b \in M \otimes N$?
2026-05-15 00:37:36.1778805456
$f: M' \otimes N \rightarrow M \otimes N$ that is not injective
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Take $\Bbb Z \subset \Bbb Q$ and $N = \Bbb Q/\Bbb Z$ as $\Bbb Z$-modules (i.e abelian groups).