Sur une conjecture de Jacobson

• 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
  • Texto completo (pdf)
• 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.