(13). Maximal Algebras of Martindale-like Quotients of strongly prime Linear Jordan Algebras.

Autores: J. Anquela, M. Gómez Lozano y E. García Gonzalez. 

Revista: J. Algebra. 280(1), (2004), 367-383. (JCR: 57 de 180. Factor de impacto 0.554)

Abstract: In this paper we prove the existence and give precise descriptions of maximal algebras of Martindale like quotients for arbitrary strongly prime linear Jordan algebras. As a consequence, we show that Zelmanov's classification of strongly prime Jordan algebras can be viewed exactly as the description of their maximal algebras of Martindale-like quotients. As a side result, we show that the Martindale associative algebra of symmetric quotients can be expressed in terms of the symmetrized product, i.e., in purely Jordan terms.