A Lie product type formula in Euclidean Jordan algebras
In this paper,we state and prove an analog of Lie product formula in the setting of Euclidean Jordan algebras.
In this paper,we state and prove an analog of Lie product formula in the setting of Euclidean Jordan algebras.
In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.