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Alternative quasialgebras

Published online by Cambridge University Press:  17 April 2009

Helena Albuquerque ,
Alberto Elduque  and
José María Pérez-Izquierdo
Helena Albuquerque
Affiliation:
Departamento de Matematica, Faculdade de Ciencias e Tecnologia, Universidade de Coimbra, 3000 Coimbra, Portugal
Alberto Elduque
Affiliation:
Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004 Logroño, Spain
José María Pérez-Izquierdo
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
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Abstract

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Alternative division quasialgebras which are not associative, are characterized. Their grading groups are shown to be always Abelian and they are built from some specific graded associative algebras by means of a graded Cayley-Dickson process.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 2 , April 2001 , pp. 257 - 268
Copyright
Copyright © Australian Mathematical Society 2001

References

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