Basic Ring Theory - 20 (On Flatness)

Groups, Rings, Domains, Modules, etc, Galois theory
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Tsakanikas Nickos
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Basic Ring Theory - 20 (On Flatness)

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Post by Tsakanikas Nickos »

Show that flatness is preserved under "base change" (extension of scalars), i.e. show that if $f \ \colon A \longrightarrow B$ is a ring homomorphism and $M$ is a flat $A$-module, then $M_{B} = B \otimes_{A} M$ is a flat $B$-module.
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