diff --git a/.github/workflows/Documenter.yml b/.github/workflows/Documenter.yml
index b91b123..b2ad773 100644
--- a/.github/workflows/Documenter.yml
+++ b/.github/workflows/Documenter.yml
@@ -5,14 +5,41 @@ on:
     tags: [v*]
   pull_request:
 
+concurrency:
+  # Skip intermediate builds: always.
+  # Cancel intermediate builds: only if it is a pull request build.
+  group: ${{ github.workflow }}-${{ github.ref }}
+  cancel-in-progress: ${{ startsWith(github.ref, 'refs/pull/') }}
+
 jobs:
-  Documenter:
+  docs:
     name: Documentation
     runs-on: ubuntu-latest
+    permissions:
+      # needed to allow julia-actions/cache to proactively delete old caches that it has created
+      actions: write 
+      contents: write
+      statuses: write
     steps:
       - uses: actions/checkout@v4
-      - uses: julia-actions/julia-buildpkg@latest
-      - uses: julia-actions/julia-docdeploy@latest
+      - uses: julia-actions/setup-julia@v1
+        with:
+          version: '1'
+      - uses: julia-actions/cache@v1
+      - name: Configure doc environment
+        shell: julia --project=docs --color=yes {0}
+        run: |
+          using Pkg
+          Pkg.develop(PackageSpec(path=pwd()))
+          Pkg.instantiate()
+      - uses: julia-actions/julia-buildpkg@v1
+      - uses: julia-actions/julia-docdeploy@v1
         env:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
-          DOCUMENTER_KEY: ${{ secrets.DOCUMENTER_KEY }}
+      - name: Run doctests
+        shell: julia --project=docs --color=yes {0}
+        run: |
+          using Documenter: DocMeta, doctest
+          using TensorCore
+          DocMeta.setdocmeta!(TensorCore, :DocTestSetup, :(using TensorCore); recursive=true)
+          doctest(TensorCore)
diff --git a/src/TensorCore.jl b/src/TensorCore.jl
index e5ac156..ea354f6 100644
--- a/src/TensorCore.jl
+++ b/src/TensorCore.jl
@@ -20,12 +20,12 @@ For arrays `a` and `b`, perform elementwise multiplication.
 julia> a = [2, 3]; b = [5, 7];
 
 julia> a ⊙ b
-2-element Array{$Int,1}:
+2-element Vector{$Int}:
  10
  21
 
 julia> a ⊙ [5]
-ERROR: DimensionMismatch("Axes of `A` and `B` must match, got (Base.OneTo(2),) and (Base.OneTo(1),)")
+ERROR: DimensionMismatch: Axes of `A` and `B` must match, got (Base.OneTo(2),) and (Base.OneTo(1),)
 [...]
 ```
 
@@ -74,7 +74,7 @@ For vectors `v` and `w`, the Kronecker product is related to the tensor product
 julia> a = [2, 3]; b = [5, 7, 11];
 
 julia> a ⊗ b
-2×3 Array{$Int,2}:
+2×3 Matrix{$Int}:
  10  14  22
  15  21  33
 ```
@@ -164,13 +164,13 @@ and hence may sometimes return another `Adjoint` vector. (And similarly for `Tra
 julia> M = rand(5,5); v = rand(5);
 
 julia> typeof(v ⊡ M')
-Array{Float64,1}
+Vector{Float64} (alias for Array{Float64, 1})
 
 julia> typeof(M ⊡ v')  # adjoint of the previous line
-Adjoint{Float64,Array{Float64,1}}
+LinearAlgebra.Adjoint{Float64, Vector{Float64}}
 
 julia> typeof(v' ⊡ M')  # same as *, and equal to adjoint(M ⊡ v)
-Adjoint{Float64,Array{Float64,1}}
+LinearAlgebra.Adjoint{Float64, Vector{Float64}}
 
 julia> typeof(v' ⊡ v)
 Float64