Simplicity of the heart of a nondegenerate Jordan system

In this paper we prove that the heart of a nondegenerate Jordan system (algebra, triple system or pair) is either simple or zero. We also obtain Herstein type results relating the hearts of associative systems and those of their corresponding Jordan systems.

(This paper will appear in J. Pure Appl. Algebra)


J. A. Anquela <anque@pinon.ccu.uniovi.es> T. Cortés <cortes@pinon.ccu.uniovi.es> E. García <egarciag@mat.ucm.es;