EN
If $A ⊗_{R,σ} V$ and $A ⊗_{P,ν} W$ are two Brzeziński crossed products and Q: W⊗ V → V⊗ W is a linear map satisfying certain properties, we construct a Brzeziński crossed product $A ⊗_{S,θ} (V⊗ W)$. This construction contains as a particular case the iterated twisted tensor product of algebras.