Non-cyclic algebras with 𝑛-central elements

Matzri, Eliyah; Rowen, Louis; Vishne, Uzi

doi:10.1090/S0002-9939-2011-11236-X

Non-cyclic algebras with $n$-central elements
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by Eliyah Matzri, Louis H. Rowen and Uzi Vishne

Proc. Amer. Math. Soc. 140 (2012), 513-518

DOI: https://doi.org/10.1090/S0002-9939-2011-11236-X

Published electronically: August 11, 2011

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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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