A new way to iterate Brzeziński crossed products

Abstract

If $A{\otimes }_{R,\sigma }V$ and $A{\otimes }_{P,\nu }W$ are two Brzeziński crossed products and $Q:W\otimes V\to V\otimes W$ is a linear map satisfying certain properties, we construct a Brzeziński crossed product $A{\otimes }_{S,\theta }(V\otimes W)$. This construction contains as a particular case the iterated twisted tensor product of algebras.

8 pages. arXiv admin note: text overlap with arXiv:1303.2139