Listar por autor "Vera de Salas, Guillermo"
Mostrando ítems 1-6 de 6
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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 Jordan Canonical Form for nilpotent elements in an arbitrary ring
Gómez-Lozano, Miguel Ángel; García González, Esther; Vera de Salas, Guillermo; Muñoz-Alcázar, Rubén José (2022)
En este poster resumimos una nueva forma de calcular la forma canónica de un elemento nilpotente dentro de un álgebra asociativa. -
A Jordan canonical form for nilpotent elements in an arbitrary ring.
García-González, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José; Vera de Salas, Guillermo (Elsevier, 2019)
In this paper we give an inductive new proof of the Jordan canonical form of a nilpotent element in an arbitrary ring. If is a nilpotent element of index n with von Neumann regular , we decompose with a Jordan ... -
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 ... -
Gradings induced by nilpotent elements.
García González, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José; Vera de Salas, Guillermo (Elsevier, 2023)
An element a is nilpotent last-regular if it is nilpotent and its last nonzero power is von Neumann regular. In this paper we show that any nilpotent last-regular element a in an associative algebra R over a ring of scalars ... -
On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices
Marriaga, Misael E.; Vera de Salas, Guillermo; Latorre, Marta; Muñoz-Alcázar, Rubén José (World Scientific Publishing Company, 2024-04)
Classical moment functionals (Hermite, Laguerre, Jacobi, Bessel) can be characterized as those linear functionals whose moments satisfy a second-order linear recurrence relation. In this work, we use this characterization ...