(42). Jordan Algebras at Jordan Elements of Semiprime Rings with Involutions.
Autores: Jose Brox, Esther Garcia and Miguel Gómez Lozano.
Revista: J. Algebra 468, (2016) 155-181. (168 de 310 Factor de impacto: 0.610 en 2016)
Abstract: In this paper we determine the Jordan algebras associated to ad-nilpotent elements of index at most 3 in Lie algebras R−and Skew(R, *)for semiprime rings R without or with involution *. To do so we first characterize these ad-nilpotent elements.
extension. We also give a purely algebraic description of the so-called Clifford inner ideals, which had only been described in geometric terms.