Sociedad Colombiana de Matemáticas:Publicaciones

Revista Colombiana de Matemáticas

Volumen 29 [1] (1995)Páginas 43-48

Sur les algèbres de Moufang commutatives

Lorenzo Acosta
Universidad Nacional de Colombia, Bogotá

Abstract. The structure of commutative Moufang algebras is studied. We show in particular that the set of idempotent elements is contained in the center of the algebra thus it has a boolean ring structure. Simple and semi-simple commutative Moufang algebras are associative and the associator (x,y,z) is always in the nilradical.

Palabras claves. Moufang algebra, alternative algebra, idempotent, nilradical.

Codigo AMS. 1991 Primary 17C. Secondary 17D.