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Infinite dimensional quadratic forms admitting composition

Author(s): Alberto Elduque; José María Pérez
Journal: Proc. Amer. Math. Soc. 125 (1997), 2207-2216.
MSC (1991): Primary 17A75, 11E88
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Abstract: Composition algebras with a unit element constitute a well-known class of algebras. In this paper, those composition algebras with a one-sided unit element are characterized and examples are given of arbitrary infinite dimension.

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Additional Information:

Alberto Elduque
Affiliation: Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
Address at time of publication: Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004 Logroño, Spain
Email: aelduque@dmc.unirioja.es

José María Pérez
Affiliation: Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
Email: jomperez@posta.unizar.es

DOI: 10.1090/S0002-9939-97-03799-4
PII: S 0002-9939(97)03799-4
Received by editor(s): September 29, 1995
Received by editor(s) in revised form: February 6, 1996
Additional Notes: The second author was supported by a grant from the `Plan de Formación del Personal Investigador', DGICYT. Work supported by the Spanish DGICYT (PB 94-1311-C03-03).
Communicated by: Lance W. Small
Copyright of article: Copyright 1997, American Mathematical Society

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