Torsion classes of extended Dynkin quivers over commutative rings

Osamu Iyama, Yuta Kimura

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…