Displaying similar documents to “Structure des algèbres de Jordan-Banach non commutatives réelles de division”

Sur une conjecture de Jacobson.

Hassane Essannouni, Amine Kaidi (1990)

Extracta Mathematicae

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Let J be a Jordan algebra with 1. A subalgebra B of J is said to be full if 1 ∈ B and for any b in B with b invertible in J, b ∈ 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.