Sur une conjecture de Jacobson
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Autores: Hassane Essannouni, El Amin Kaidi Lhachmi
- Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 5, Nº 3, 1990, págs. 141-143
- Idioma: inglés
- Enlaces
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Resumen
Let J be a Jordan algebra with 1. A subalgebra B of J is said to be full if 1 Î B and for any b in B with b invertible in J, b-1 Î B. We prove that if J is nondegenerate then any full subalgebra of J generated by two elements is special. It follows that any rational identity in two indeterminated satisfied in all special Jordan algebras is also satisfied in all nondegenerate Jordan algebras.
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