  For a Noetherian $R$-algebra $\Lambda$, there is a canonical inclusion
$\mathsf{tors}\Lambda\to\prod_{\mathfrak{p}\in \mathrm{Spec}
R}\mathsf{tors}(\kappa(\mathfrak{p})\Lambda)$, and each element in the image
satisfies a certain compatibility condition. We call $\Lambda$ compatible if
the image coincides with the set of all compatible elements. For example, for a
Dynkin quiver $Q$ and a commutative Noetherian ring $R$ containing a field, the
path algebra $RQ$ is compatible. In this paper, we prove that $RQ$ is
compatible when $Q$ is an extended Dynkin quiver and $R$ contains a field and
is either a Dedekind domain or a Noetherian semilocal normal ring of dimension
two.
