Let $A=KQ/I$ be a quiver algebra such that the coefficients of the relations in the admissible ideal $I$ consist only of the field elements $0,1$ and $-1$.
Question 1: Is it true for every basic idempotent $e$ that the algebra $eAe$ is isomorphic to a quiver algebra such that the admissible ideal $I$ contains only the field elements $0,1$ and $-1$?
Question 2: Is it true in case $A$ is QF-3 and $e$ is such that $eA$ is the basis version of a minimal faithful projective-injective $A$-module?
Question 3: Can one check with QPA whether a given quiver algebra $A$ is isomorphic to a quiver algebra with relations containing only field elements $0,-1$ and 1?
(asked before on MSE: https://math.stackexchange.com/questions/3797390/field-elements-in-quiver-and-relations )