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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Manuscripta Mathematica.
( Vol. 103 NO.1 / (2000))
Power associative composition algebras
Jose Antonio Cuenca, Alberto Elduque, Jose Maria Perez-Izquierdo,
Pages. 75-90
Abstract Composition algebras of arbitrary dimension over a field and satisfying the identities
$s^2x=xx^2$ and $(x^2)^2 = (x^2 x)x$ 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.
Contents 1. Introduction and main result
2. The crucial identity and consequences
3. The field of three elements
4. The field of two elements
Key words
Mathmatical Subject Classification 17A75, 17A05