diff --git a/src/bases.jl b/src/bases.jl
index 9825080..b7ccadd 100644
--- a/src/bases.jl
+++ b/src/bases.jl
@@ -102,3 +102,7 @@ function adjoint_coeffs!(res, cfs, source::AbstractBasis, target::AbstractBasis)
     end
     return res
 end
+
+function adjoint_coeffs(a::AlgebraElement, target::AbstractBasis)
+    return adjoint_coeffs(coeffs(a), target, basis(a))
+end
diff --git a/test/abstract_coeffs.jl b/test/abstract_coeffs.jl
index efc6826..bda4bd3 100644
--- a/test/abstract_coeffs.jl
+++ b/test/abstract_coeffs.jl
@@ -13,6 +13,10 @@
         y = AlgebraElement(ACoeffs(coeffs(b, basis(fRG))), fRG)
         x, y
     end
+    @test coeffs(α - β, SA.FixedBasis(basis(RG); n = 2)) == [1, -1]
+    @test_throws KeyError coeffs(α - β, SA.FixedBasis(basis(RG); n = 1))
+    @test SA.adjoint_coeffs(α - β, SA.FixedBasis(basis(RG); n = 2)) == [1, -1]
+    @test SA.adjoint_coeffs(α - β, SA.FixedBasis(basis(RG); n = 1)) == [1]
     @test coeffs(2α) isa ACoeffs{Int}
     @test coeffs(α - β) isa ACoeffs
     @test coeffs(α - β // 3) isa ACoeffs{<:Rational}