Let be
https://i.imgur.com/hufWpv4.jpg
a quiver. We have that $\mathbb{K}Qe_2=span \{e_2,a'',a''' \}$, so $V_1=e_1\mathbb{K}Qe_2=\{0 \}$, $V_2=e_2\mathbb{K}Qe_2=span \{e_2 \}$, $V_3=a''\mathbb{K}Qe_2=span \{a'' \}$,$V_4=a''\mathbb{K}Qe_2=span \{a''' \}$, so a representation is this:
https://i.imgur.com/OPzfkN7.jpg
and it is indecomposable, right? Moreover, is it non-irreducible?