# Postprojective components of quiver algebras

Let $$A=kQ/I$$ be a quiver algebra with acyclic quiver $$Q$$. An indecomposable module $$M$$ is called postprojective in case $$M \cong \tau^{-1}(P)$$ for an indecomposble projective module $$P$$. A component of the Auslander-Reiten quiver of $$A$$ is called postprojective in case every module in the component is postprojective. Assume $$A$$ has at least one postprojective component.

Question 1: Is there a (quick) way to obtain the number of postprojective components of such an algebra?

Question 2: Is there an easy way to see whether any indecomposable projective module is postprojective?

Im especially interested wheter such a thing is possible using the GAP-package QPA.