Non-cyclic algebras with -central elements

Authors:
Eliyah Matzri, Louis H. Rowen and Uzi Vishne

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

MSC (2010):
Primary 16K20

Published electronically:
August 11, 2011

MathSciNet review:
2846319

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Abstract | References | Similar Articles | Additional Information

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

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Additional Information

**Eliyah Matzri**

Affiliation:
Department of Mathematics, The Technion, Haifa 32000, Israel

Email:
elimatzri@gmail.com

**Louis H. Rowen**

Affiliation:
Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel

Email:
rowen@math.biu.ac.il

**Uzi Vishne**

Affiliation:
Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel

Email:
vishne@math.biu.ac.il

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

Received by editor(s):
September 6, 2010

Received by editor(s) in revised form:
December 5, 2010

Published electronically:
August 11, 2011

Communicated by:
Harm Derksen

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.