(40). Prime Quotients of Jordan Systems and Lie Algebras.

Autores: J. A. Anquela, T. Cortes, E. García y M. Gómez Lozano.

Revista: Mediterranean Journal Math. 13 (2016), 29–52 (83 de 310 Factor de impacto: 0.868 en 2016)

Abstract:We show that, unlike alternative algebras, prime quotients of a nondegenerate Jordan system or a Lie algebra need not be nondegenerate, even if the original Jordan system is primitive, or the Lie algebra is strongly prime, both with nonzero simple hearts. Nevertheless, for Jordan systems and Lie algebras directly linked to associative systems, we prove that even semiprime quotients are necessarily nondegenerate.