Let \(R\) be a commutative ring. An \(R\)-module \(M\) is flat if the functor \(M\otimes_R -\) from \(R\)-modules to \(R\)-modules is exact.
Flat module
D-FS52P
D-FS52P
Let \(R\) be a commutative ring. An \(R\)-module \(M\) is flat if the functor \(M\otimes_R -\) from \(R\)-modules to \(R\)-modules is exact.