Lemma 10.82.8. Let $R$ be a ring. Let $M \to M'$ be a universally injective $R$-module map. Then for any $R$-module $N$ the map $M \otimes _ R N \to M' \otimes _ R N$ is universally injective.
Proof. Omitted. $\square$
Lemma 10.82.8. Let $R$ be a ring. Let $M \to M'$ be a universally injective $R$-module map. Then for any $R$-module $N$ the map $M \otimes _ R N \to M' \otimes _ R N$ is universally injective.
Proof. Omitted. $\square$
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