Remark 10.74.9. The proof of Lemma 10.74.8 actually shows that

\[ \text{Tor}_1^ R(M, R/I) = \mathop{\mathrm{Ker}}(I \otimes _ R M \to M). \]

Remark 10.74.9. The proof of Lemma 10.74.8 actually shows that

\[ \text{Tor}_1^ R(M, R/I) = \mathop{\mathrm{Ker}}(I \otimes _ R M \to M). \]

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