diff --git a/src/algebra_elts.jl b/src/algebra_elts.jl
index 44954df..a718cf7 100644
--- a/src/algebra_elts.jl
+++ b/src/algebra_elts.jl
@@ -37,5 +37,6 @@ function LinearAlgebra.dot(w::AbstractVector, b::AlgebraElement)
     return LinearAlgebra.dot(w, coeffs(b))
 end
 function LinearAlgebra.dot(a::AlgebraElement, w::AbstractVector)
+    @assert key_type(basis(parent(a))) <: Integer
     return LinearAlgebra.dot(coeffs(a), w)
 end
diff --git a/src/coefficients.jl b/src/coefficients.jl
index 54bcf21..b956f65 100644
--- a/src/coefficients.jl
+++ b/src/coefficients.jl
@@ -115,7 +115,7 @@ function LinearAlgebra.dot(w::AbstractVector, ac::AbstractCoefficients)
     if isempty(values(ac))
         return zero(MA.promote_sum_mul(eltype(w), value_type(ac)))
     else
-        return sum(w[i] * star(v) for (i, v) in nonzero_pairs(ac))
+        return sum(w[i] * v for (i, v) in nonzero_pairs(ac))
     end
 end