Question: Exercise (1) RR is flat as MOR is canonically isomorphic to M for any R- module M (2) M= M' DM is flat if and

Exercise (1) RR is flat as MOR is canonically isomorphic to

Exercise (1) RR is flat as MOR is canonically isomorphic to M for any R- module M (2) M= M' DM" is flat if and only if M' and M" are both flat. This follows from the fact that NORM= ( NOM' ) @ ( NOM"), UN Prove ( 3) Free module are flat by (1) and (2 ) (4 ) Projective modules are flat by ( 2 ) and ( 3 )

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