Listar por autor "García, Esther"
Mostrando ítems 1-4 de 4
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A Description of Ad-nilpotent Elements in Semiprime Rings with Involution
Brox-López, José Ramón; García, Esther; Gómez-Lozano, Miguel Ángel
; Muñoz-Alcázar, Rubén José; Vera de Salas, Guillermo (Springer Nature, 2021-07)
In this paper, we study ad-nilpotent elements in Lie algebras arising from semiprime associative rings R free of 2-torsion. With the idea of keeping under control the torsion of R, we introduce a more restrictive notion ... -
A filtration associated to an abelian inner ideal and the speciality of the subquotient of a Lie algebra.
García, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José (Springer Nature, 2022)
For any abelian inner ideal B of a Lie algebra L such that [B, KerB]^n ⊆ B for some natural n, we build a bounded filtration whose first nonzero term is B and the extremes of the induced Z-graded Lie algebra coincide ... -
Ad-Nilpotent Elements of Skew Index in Semiprime Rings with Involution
Brox-López, José Ramón; García, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José; Vera de Salas, Guillermo (Springer Nature, 2022-03)
In this paper, we study ad-nilpotent elements of semiprime rings R with involution * whose indices of ad-nilpotence differ on Skew(R,*) and R. The existence of such an ad-nilpotent element a implies the existence of a GPI ... -
On the speciality of Jordan algebras and subquotients of Lie algebras
García, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José (Elsevier, 2020-09-01)
In this paper we study conditions on the own structure of the Lie algebras that imply the specialty of these Jordan algebras. Similar results are obtained when dealing with subquotients associated to abelian inner ideals