Listar por autor "García González, Esther"
Mostrando ítems 1-6 de 6
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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. -
Decompositions of endomorphisms into a sum of roots of the unity and nilpotent endomorphisms of fixed nilpotence.
Danchev, Peter; García González, Esther; Gómez-Lozano, Miguel Ángel (Elsevier, 2023-07-10)
For n ≥ 2 and fixed k ≥ 1, we study when an endomorphism f of Fn, where F is an arbitrary field, can be decomposed as t + m where t is a root of the unity endomorphism and m is a nilpotent endomorphism with mk = 0. For ... -
Decompositions of matrices into a sum of invertible matrices and matrices of fixed nilpotence.
Danchev, Peter; García González, Esther; Gómez-Lozano, Miguel Ángel (International Linear Algebra Society, 2023-08-24)
For any n ≥ 2 and fixed k ≥ 1, we give necessary and sufficient conditions for an arbitrary nonzero square matrix in the matrix ring Mn(F) to be written as a sum of an invertible matrix U and a nilpotent matrix N with Nk ... -
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 prescribed characteristic polynomials.
Danchev, Peter; García González, Esther; Gómez-Lozano, Miguel Ángel (Elsevier, 2024-08-13)
Let F be a field. We show that given any nth degree monic polynomial q(x) ∈ F[x] and any matrix A ∈ Mn(F) whose trace coincides with the trace of q(x) and consisting in its main diagonal of k 0-blocks of order one, with k ...