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Timeline for Flatness of module

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Jun 29, 2010 at 18:39 comment added Georges Elencwajg Matsumura Commutative Ring Theory, Theorem 7.1, page 46.
Jun 29, 2010 at 18:11 comment added ashpool I just discovered that the argument works for modules as well, in the following form: $A\rightarrow B$ a ring homomorphism, $N$ a $B$-module which is flat over $A$, $T\subset B$ a multiplicative subset. Then $T^{-1}N$ is flat over $A$.
Jun 29, 2010 at 17:01 history asked ashpool CC BY-SA 2.5