Can anyone tell me where I can read a proof that the natural map
$Hom_{A}(M,N)[S^{1}]\rightarrow Hom_{A[S^{1}]}(M[S^{1}],N[S^{1}])$
is an isomorphism if $M$ is finitely presented?
Can anyone tell me where I can read a proof that the natural map $Hom_{A}(M,N)[S^{1}]\rightarrow Hom_{A[S^{1}]}(M[S^{1}],N[S^{1}])$ is an isomorphism if $M$ is finitely presented? 

closed as too localized by Martin Brandenburg, Steven Landsburg, unknown (google), Karl Schwede, Andy Putman Mar 15 '12 at 5:19This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question. 


Yes. You can read a proof of this fact at: 

