Sur les algèbres de Moufang commutatives
Palabras clave:
Moufang algebra, alternative algebra, idempotent, nilradical (en)
algèbres de Moufang commutatives, structure d'anneau de Boole, (fr)
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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.
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.
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Derechos de autor 1995 Revista Colombiana de Matemáticas
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