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Communications in Algebra Volume 32, 2004 - Issue 5
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Miscellany

Composition Algebras Satisfying the Flexible Law

Alberto Elduque Departamento de Matemáticas, Universidad de Zaragoza, Zaragoza, Spain; Departamento de Matemáticas, Universidad de Zaragoza, Pza. San Francisco s/n., Zaragoza, 50009, SpainCorrespondence[email protected]
&
Hyo Chul Myung School of Mathematics, Korea Institute for Advanced Study, Dongdaemun-gu Chungryangri-dong, Seoul, Korea
Pages 1997-2013 | Received 01 Nov 2002, Published online: 21 Oct 2011
 
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Abstract

The two main classes of finite dimensional composition algebras, Hurwitz and symmetric, are characterized in terms of the flexible identity, and even of the third power associative identity, over fields of arbitrary characteristic.

1991 Mathematics Classification (2000):

Acknowledgments

The first author has been supported by the Spanish DGI (BFM 2001-3239-C03-03), the second author by KIAS grant M01004.

Notes

#Communicated by E. Zelmanov.

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