∀ (R : Type u_1) (A : Type u_2) [inst : CommSemiring R] [inst_1 : StarAddMonoid R] [inst_2 : NonUnitalSemiring A]
  [inst_3 : Star A] [inst_4 : Module R A], NonUnitalAlgHomClass (A →⋆ₙₐ[R] Unitization R A) R A (Unitization R A)