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A new way to iterate Brzeziński crossed products

Volume 142 / 2016

Leonard Dăuş, Florin Panaite Colloquium Mathematicum 142 (2016), 51-60 MSC: Primary 16S99. DOI: 10.4064/cm142-1-2

Abstract

If $A\otimes _{R, \sigma }V$ and $A\otimes _{P, \nu }W$ are two Brzeziński crossed products and $Q:W\otimes V\rightarrow V\otimes W$ 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.

Authors

  • Leonard DăuşDepartment of Mathematical Sciences
    UAE University
    PO Box 15551
    Al Ain, United Arab Emirates
    e-mail
  • Florin PanaiteInstitute of Mathematics
    Romanian Academy
    PO Box 1-764
    RO-014700 Bucureşti, Romania
    e-mail

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