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Communications in Algebra Volume 32, 2004 - Issue 10
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Original Articles

Multiplicative-Semiprimeness of Nondegenerate Jordan Algebras

M. Cabrera Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, Granada, Spain; Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, Granada, 18071, SpainCorrespondence[email protected]
&
A. R. Villena Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, Granada, Spain
Pages 3995-4003 | Received 01 May 2001, Accepted 01 May 2004, Published online: 24 Jun 2011
 
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Abstract

We show that the multiplication algebra of a nondegenerate Jordan algebra is a semiprime algebra.

Mathematics Subject Classification:

Acknowledgments

The first named author is supported by Junta de Andalucía Grant FQM 290. The second named author is supported by MCYT Grant BFM2003-01681.

Notes

#Communicated by E. Zelmanov.

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