Polynomial Identities and Speciality of Martindale-like Covers of Jordan Algebras

In this paper we prove the inheritance of polynomial identities by covers of nondegenerate Jordan algebras satisfying certain ideal absorption properties. As a consequence we obtain the inheritance of speciality by Martindale-like covers, proving, in particular, that a Jordan algebra having a nondegenerate essential ideal which is special must be special.

(This paper has appeared in J. Pure Appl. Algebra 202 (2005), no. 1-3, 1-10)

J. A. Anquela < anque@pinon.ccu.uniovi.es >

T. Cortés < cortes@pinon.ccu.uniovi.es >

E. García < egarciag@mat.ucm.es >

M. Gómez-Lozano < magomez@agt.cie.uma.es >