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Unverified Commit f2f977e0 authored by rrueger's avatar rrueger
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Algebra I: Modules. Update definition of annihilator

parent 47aea8cb
......@@ -91,7 +91,8 @@ Evidently, this homomorphism is surjective and we have $M = Rx \cong R/\ker
\begin{definition}
Let $M = Rx$ be a cyclic $R$-module. Let $\mu_x \colon R \to Rx$ be defined by
$r \mapsto rx$. Then we define
$r \mapsto rx$. Then we define the \textbf{annihilator} of $\mu_x$
%
\begin{align*}
\ann x = \ker \mu_x = \{d \in R \mid dx = 0\}.
\end{align*}
......
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