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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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Down-up algebras at roots of unity
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by Rajesh S. Kulkarni PDF
Proc. Amer. Math. Soc. 136 (2008), 3375-3382 Request permission

Abstract:

In this note, we show that down-up algebras at roots of unity are maximal orders over their centers.
References
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Additional Information
  • Rajesh S. Kulkarni
  • Affiliation: Department of Mathematics, Wells Hall, Michigan State University, East Lansing, Michigan 48824
  • Email: kulkarni@math.msu.edu
  • Received by editor(s): July 5, 2006
  • Published electronically: May 28, 2008
  • Additional Notes: The author was partially supported by NSF grants DMS-0311850 and DMS-0603684.
  • Communicated by: Martin Lorenz
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 3375-3382
  • MSC (2000): Primary 16H05; Secondary 17B37
  • DOI: https://doi.org/10.1090/S0002-9939-08-09547-6
  • MathSciNet review: 2415018