Local Lesieur-Croisot theory of Jordan algebras

In this paper we study Jordan algebras having nonzero local algebras that satisfy the property of being Lesieur-Croisot (i.e. being orders in nondegenerate Jordan algebras of finite capacity). We will prove that the set of the elements of a nondegenerate Jordan algebra at which the local algebra is Lesieur-Croisot is an ideal.

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F. Montaner < fmontane@posta.unizar.es >

M. Tocon < maribel@uma.es >