Mostrando ítems 1-8 de 8

• A filtration associated to an abelian inner ideal of a Lie algebra. ﻿

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 ﻿

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. ﻿

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. ﻿

(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 ...
• Estructuras de clausura y elementos cuasi-cerrados sobre retículos completos difusos. ﻿

(UMA Editorial, 2023)
Esta tesis doctoral se enmarca en el campo de la lógica difusa. El tema principal de la disertación es la extensión de las estructuras de clausura difusas y los elementos cuasi-cerrados a un retículo completo difuso ...
• Gradings induced by nilpotent elements. ﻿

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 ...
• Jordan elements in Lie algebras and inner ideals in the skew elements of prime rings with involution ﻿

(Servicio de Publicaciones y Divulgación Científica, 2015)
* El capítulo 1 introduce resultados esenciales sobre los elementos skew de un anillo primo, necesarios en los capítulos 3 y 4. * En el capítulo 2 se demuestra que en un álgebra de Lie L libre de torsión 6, si a y b son ...
• On prescribed characteristic polynomials. ﻿

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 ...