• given a finitely presented $B$-module $N$ there is a canonical isomorphism $TF(B, B) \otimes _ B N \to TF(B, N)$ where the tensor product uses the second $B$-module structure on $TF(B, B)$.

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).