ListarAGT - Artículos por tema "Anillos (Álgebra)"
Mostrando ítems 1-4 de 4
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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 ... -
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 ... -
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 ... -
Using the Steinberg Algebra Model to determine the center of any Leavitt Path Algebra
Clark, Lisa Orloff; Martín-Barquero, Dolores; Martín-González, Cándido; Siles-Molina, Mercedes (Springer, 2019-04)
Given an arbitrary graph, we describe the center of its Leavitt path algebra over a commutative unital ring. Our proof uses the Steinberg algebra model of the Leavitt path algebra. A key ingredient is a characterization ...