  We give Erdmann-Nakano type theorem for the finite quiver Hecke algebras
$R^{\Lambda_0}(\beta)$ of affine type $A^{(1)}_{\ell}$. Note that each finite
quiver Hecke algebra lies in one parameter family, and the original
Erdmann-Nakano theorem studied the finite quiver Hecke algebra at a special
parameter value. We study the general case in our paper. Our result shows in
particular that their representation type does not depend on the parameter.
Moreover, when the parameter value is nonzero, we show that finite quiver Hecke
algebras of tame representation type are biserial algebras.
