a representation $\{M_i,M_a\}_{i\in I,a\in E}$ of $Q$ is said to be *locally free* if the $\R$-modules $M_i$ are all free. If we denote by $e_i\in\R Q$ the idempotent corresponding to vertex $i\in I$, locally free representations of $Q$ correspond to $\R Q$-modules $M$ such that for all $i\in I$, the $\R$-module $M_i=e_iM$ is free.

When $\R=\k$ is a field Gabriel [@gabriel1] in 1972 followed by Kac in [@kac] in 1982 initiated the detailed study of the representation category $\k Q$-Mod. They discovered a deep connection with the representation theory of Kac-Moody algebras with symmetric Cartan matrices. To find the analogue connection with Kac-Moody algebras with symmetrizable but non-symmetric Cartan matrices, Gabriel [@gabriel2] in 1974 followed by Dlab and Ringel [@dlab-ringel] in 1974 introduced the notion of modulated graphs, in particular allowed various finite field extensions attached to the vertices of the graph. To get a uniform theory working over any, for example algebraically closed, fields Geiss–Leclerc–Schröer [@GLS] in 2015 introduced the study of representations of quivers over $\R=\k_d$ the truncated polynomial ring over a field $\k$. Here they managed to find the desired connection with non-simply laced Kac-Moody algebras. Later in 2016 Geuenich [@geuenich] extended results of [@GLS] to the 