Minimal generating system of Ringel–Hall algebras of affine valued quivers

Let Fq be a finite field with q elements and h(FqQ) the Ringel–Hall algebra of affine valued quiver Q. All indecomposable representations of Q, which can be generated inside h(FqQ) by ‘smaller’ dimension, are classified and minimal homogeneous generating systems of h(FqQ) are given explicitly.