Lemma 10.13.5. Let $R$ be a ring and let $S \subset R$ be a multiplicative subset. Then $S^{-1}T_ R(M) = T_{S^{-1}R}(S^{-1}M)$ for any $R$-module $M$. Similar for symmetric and exterior algebras.

Proof. Omitted. Hint: Apply Lemma 10.12.16. $\square$

There are also:

• 2 comment(s) on Section 10.13: Tensor algebra

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).