diff --git a/Project.toml b/Project.toml
index d1fc06a..6236264 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "ArrayLayouts"
 uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
 authors = ["Sheehan Olver <solver@mac.com>"]
-version = "1.1.1"
+version = "1.2.0"
 
 [deps]
 FillArrays = "1a297f60-69ca-5386-bcde-b61e274b549b"
diff --git a/src/ldiv.jl b/src/ldiv.jl
index 87b10b1..1710c23 100644
--- a/src/ldiv.jl
+++ b/src/ldiv.jl
@@ -1,6 +1,18 @@
+abstract type AbstractLRDiv{AType, BType} end
+
+@inline BroadcastStyle(::Type{<:AbstractLRDiv}) = ApplyBroadcastStyle()
+@inline broadcastable(M::AbstractLRDiv) = M
+
+similar(A::AbstractLRDiv, ::Type{T}, axes) where T = similar(Array{T}, axes)
+similar(A::AbstractLRDiv, ::Type{T}) where T = similar(A, T, axes(A))
+similar(A::AbstractLRDiv) = similar(A, eltype(A))
+
+@inline copy(M::AbstractLRDiv; kwds...) = copyto!(similar(M), M; kwds...)
+@inline materialize(M::AbstractLRDiv; kwds...) = copy(instantiate(M); kwds...)
+
 for Typ in (:Ldiv, :Rdiv)
     @eval begin
-        struct $Typ{StyleA, StyleB, AType, BType}
+        struct $Typ{StyleA, StyleB, AType, BType} <: AbstractLRDiv{AType, BType}
             A::AType
             B::BType
         end
@@ -10,16 +22,6 @@ for Typ in (:Ldiv, :Rdiv)
 
         @inline $Typ(A::AType, B::BType) where {AType,BType} =
             $Typ{typeof(MemoryLayout(AType)),typeof(MemoryLayout(BType)),AType,BType}(A, B)
-
-        @inline BroadcastStyle(::Type{<:$Typ}) = ApplyBroadcastStyle()
-        @inline broadcastable(M::$Typ) = M
-
-        similar(A::$Typ, ::Type{T}, axes) where T = similar(Array{T}, axes)
-        similar(A::$Typ, ::Type{T}) where T = similar(A, T, axes(A))
-        similar(A::$Typ) = similar(A, eltype(A))
-
-        @inline copy(M::$Typ; kwds...) = copyto!(similar(M), M; kwds...)
-        @inline materialize(M::$Typ; kwds...) = copy(instantiate(M); kwds...)
     end
 end
 
diff --git a/src/lmul.jl b/src/lmul.jl
index 37b938f..c6d4eb1 100644
--- a/src/lmul.jl
+++ b/src/lmul.jl
@@ -1,27 +1,32 @@
+abstract type AbstractLRMul{TypeA, TypeB} end
+
+BroadcastStyle(::Type{<:AbstractLRMul}) = ApplyBroadcastStyle()
+broadcastable(M::AbstractLRMul) = M
+
+size(M::AbstractLRMul) = map(length,axes(M))
+size(M::AbstractLRMul, p::Int) = size(M)[p]
+length(M::AbstractLRMul) = prod(size(M))
+axes(M::AbstractLRMul) = (axes(M.A,1),axes(M.B,2))
+axes(M::AbstractLRMul, p::Int) = axes(M)[p]
+
+eltype(::AbstractLRMul{A,B}) where {A,B} = promote_type(eltype(A), eltype(B))
+
+similar(M::AbstractLRMul, ::Type{T}, axes) where {T} = similar(Array{T}, axes)
+similar(M::AbstractLRMul, ::Type{T}) where T = similar(M, T, axes(M))
+similar(M::AbstractLRMul) = similar(M, eltype(M))
+
 for Typ in (:Lmul, :Rmul)
     @eval begin
-        struct $Typ{StyleA, StyleB, TypeA, TypeB}
+        struct $Typ{StyleA, StyleB, TypeA, TypeB} <: AbstractLRMul{TypeA, TypeB}
             A::TypeA
             B::TypeB
         end
 
-        $Typ(A::TypeA, B::TypeB) where {TypeA,TypeB} = $Typ{typeof(MemoryLayout(TypeA)),typeof(MemoryLayout(TypeB)),TypeA,TypeB}(A,B)
+        function $Typ(A::TypeA, B::TypeB) where {TypeA,TypeB}
+            $Typ{typeof(MemoryLayout(TypeA)),typeof(MemoryLayout(TypeB)),TypeA,TypeB}(A,B)
+        end
 
         $Typ(M::Mul) = $Typ(M.A, M.B)
-
-        BroadcastStyle(::Type{<:$Typ}) = ApplyBroadcastStyle()
-        broadcastable(M::$Typ) = M
-
-        eltype(::$Typ{<:Any,<:Any,A,B}) where {A,B} = promote_type(eltype(A), eltype(B))
-        size(M::$Typ, p::Int) = size(M)[p]
-        axes(M::$Typ, p::Int) = axes(M)[p]
-        length(M::$Typ) = prod(size(M))
-        size(M::$Typ) = map(length,axes(M))
-        axes(M::$Typ) = (axes(M.A,1),axes(M.B,2))
-
-        similar(M::$Typ, ::Type{T}, axes) where {T} = similar(Array{T}, axes)
-        similar(M::$Typ, ::Type{T}) where T = similar(M, T, axes(M))
-        similar(M::$Typ) = similar(M, eltype(M))
     end
 end