[[Quiver representation theory MOC]]
# Subquiver

A **subquiver** $\Delta$ of a [[quiver]] $\Gamma$ is a a quiver such that #m/def/quiv 
$$
\begin{align*}
\Delta E &\sube \Gamma E, &
\Delta V &\sube \Gamma E, \\
\Delta s &= \Gamma s \restriction \Delta E, &
\Delta t &= \Gamma t \restriction \Delta E;
\end{align*}
$$
in other words, we have an inclusion $\iota : \Delta \hookrightarrow \Gamma$.


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