Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Cyclic algebras of small exponent
HTML articles powered by AMS MathViewer

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


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 $n$.
  • A. Adrian Albert, Structure of algebras, American Mathematical Society Colloquium Publications, Vol. XXIV, American Mathematical Society, Providence, R.I., 1961. Revised printing. MR 0123587
  • A. S. Merkurjev and A. A. Suslin, $K$-cohomology of Severi-Brauer varieties and norm residue homomorphism, preprint, 1981.
  • John Milnor, Introduction to algebraic $K$-theory, Annals of Mathematics Studies, No. 72, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1971. MR 0349811
  • S. Rosset and J. Tate, A reciprocity law for ${K_2}$-traces, preprint, 1982.
  • Louis Halle Rowen, Central simple algebras with involution viewed through centralizers, J. Algebra 63 (1980), no. 1, 41–55. MR 568563, DOI 10.1016/0021-8693(80)90024-1
  • Jean-Pierre Serre, Corps locaux, Publications de l’Université de Nancago, No. VIII, Hermann, Paris, 1968 (French). Deuxième édition. MR 0354618
  • Edwin Weiss, Cohomology of groups, Pure and Applied Mathematics, Vol. 34, Academic Press, New York-London, 1969. MR 0263900
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 11R54, 13A20, 16A16
  • Retrieve articles in all journals with MSC: 11R54, 13A20, 16A16
Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 89 (1983), 587-588
  • MSC: Primary 11R54; Secondary 13A20, 16A16
  • DOI:
  • MathSciNet review: 718978