Exercise 111.5.1. Let $S$ be a multiplicative subset of the ring $A$.

For an $A$-module $M$ show that $S^{-1}M = S^{-1}A \otimes _ A M$.

Show that $S^{-1}A$ is flat over $A$.

Exercise 111.5.1. Let $S$ be a multiplicative subset of the ring $A$.

For an $A$-module $M$ show that $S^{-1}M = S^{-1}A \otimes _ A M$.

Show that $S^{-1}A$ is flat over $A$.

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