Non-cyclic algebras with n-central elements

Matzri Eliyah; Louis H. Rowen; Uzi Vishne

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

Non-cyclic algebras with n-central elements

Matzri Eliyah, Louis H. Rowen, Uzi Vishne

Department of Mathematics

Technion-Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We construct, for any prime p, a non-cyclic central simple algebra of degree p² with p²-central elements. This construction answers a problem of Peter Roquette.

Original language	English
Pages (from-to)	513-518
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	140
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-2011-11236-X
State	Published - 2012

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Non-cyclic algebras with n-central elements

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