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A filtration associated to an abelian inner ideal of a Lie algebra.
García González, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José (Elsevier, 2022-12-14)Let B be an abelian inner ideal and let KerL B be the kernel of B. In this paper we show that when there exists n ∈ N with [B,KerL B] n ⊂ B, the inner ideal B induces a bounded filtration in L where B is the first nonzero ... -
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. -
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 ...