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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Invariance under twisting for crossed products
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by Florin Panaite PDF
Proc. Amer. Math. Soc. 140 (2012), 755-763 Request permission

Abstract:

We prove a result of the type “invariance under twisting” for Brzeziński’s crossed products as a common generalization of the invariance under twisting for twisted tensor products of algebras and the invariance under twisting for quasi-Hopf smash products. It turns out that this result contains also as a particular case the equivalence of crossed products by a coalgebra (due to Brzeziński).
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Additional Information
  • Florin Panaite
  • Affiliation: Institute of Mathematics, Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania
  • Email: Florin.Panaite@imar.ro
  • Received by editor(s): December 10, 2010
  • Published electronically: July 6, 2011
  • Additional Notes: Research partially supported by the CNCSIS project “Hopf algebras, cyclic homology and monoidal categories”, contract No. 560/2009, CNCSIS code $ID_{-}69$.
  • Communicated by: Gail R. Letzter
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 755-763
  • MSC (2010): Primary 16S99; Secondary 16T99
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11024-4
  • MathSciNet review: 2869061