## Non-cyclic algebras with $n$-central elements

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- by Eliyah Matzri, Louis H. Rowen and Uzi Vishne PDF
- Proc. Amer. Math. Soc.
**140**(2012), 513-518 Request permission

## 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.## References

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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
- MR Author ID: 151270
- Email: rowen@math.biu.ac.il
**Uzi Vishne**- Affiliation: Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel
- MR Author ID: 626198
- ORCID: 0000-0003-2760-9775
- Email: vishne@math.biu.ac.il
- 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
- © Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc.
**140**(2012), 513-518 - MSC (2010): Primary 16K20
- DOI: https://doi.org/10.1090/S0002-9939-2011-11236-X
- MathSciNet review: 2846319