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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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Cyclic algebras of small exponent
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by J.-P. Tignol PDF
Proc. Amer. Math. Soc. 89 (1983), 587-588 Request permission

Abstract:

We prove that every cyclic algebra of exponent $n$ and degree $mn$ over a field containing a primitive $n$th root of unity is similar to a tensor product of at most $m$ symbols of degree $n$.
References
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 89 (1983), 587-588
  • MSC: Primary 11R54; Secondary 13A20, 16A16
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0718978-5
  • MathSciNet review: 718978