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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Non-cyclic algebras with $n$-central elements
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by Eliyah Matzri, Louis H. Rowen and Uzi Vishne PDF
Proc. Amer. Math. Soc. 140 (2012), 513-518 Request permission

Abstract:

We construct, for any prime $p$, a non-cyclic central simple algebra of degree $p^2$ with $p^2$-central elements. This construction answers a problem of Peter Roquette.
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Additional Information
  • Eliyah Matzri
  • Affiliation: Department of Mathematics, The Technion, Haifa 32000, Israel
  • Email: elimatzri@gmail.com
  • Louis H. Rowen
  • Affiliation: Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel
  • MR Author ID: 151270
  • Email: rowen@math.biu.ac.il
  • Uzi Vishne
  • Affiliation: Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel
  • MR Author ID: 626198
  • ORCID: 0000-0003-2760-9775
  • Email: vishne@math.biu.ac.il
  • Received by editor(s): September 6, 2010
  • Received by editor(s) in revised form: December 5, 2010
  • Published electronically: August 11, 2011
  • Communicated by: Harm Derksen
  • © 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), 513-518
  • MSC (2010): Primary 16K20
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11236-X
  • MathSciNet review: 2846319