16D40-FlatModule.tex

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\pmtitle{flat module}
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\begin{document}
A right module $M$ over a ring $R$ is {\it flat}
if the tensor product functor $M \otimes_R (-)$ 
is an exact functor.

Similarly, a left module $N$ over $R$ is {\it flat}
if the tensor product functor $(-) \otimes_R N$ 
is an exact functor.
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\end{document}