Definition 10.9.1. Let $R$ be a ring, $S$ a subset of $R$. We say $S$ is a multiplicative subset of $R$ if $1\in S$ and $S$ is closed under multiplication, i.e., $s, s' \in S \Rightarrow ss' \in S$.

There are also:

• 4 comment(s) on Section 10.9: Localization

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).