Power Associative Composition Algebras

  1. Cuenca, J.A. 1
  2. Elduque, A. 23
  3. Pérez-Izquierdo, J.M. 2
  1. 1 Universidad de Málaga
    info

    Universidad de Málaga

    Málaga, España

    ROR https://ror.org/036b2ww28

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  3. 3 Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
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Journal:
Manuscripta mathematica

ISSN: 0025-2611

Year of publication: 2000

Volume: 103

Issue: 1

Pages: 75-90

Type: Article

DOI: 10.1007/S002290070030 SCOPUS: 2-s2.0-0034347267 WoS: WOS:000165101600007 DIALNET GOOGLE SCHOLAR

More publications in: Manuscripta mathematica

Institutional repository: lock_openOpen access Editor

Abstract

Composition algebras of arbitrary dimension over a field and satisfying the identies x2x = xx2 and (x2)2 = (x2x)x are shown to be precisely the well-known unital composition algebras, with the exception of three two dimensional algebras over the field of two elements.