Listar por departamento/instituto "Álgebra, Geometría y Topología"
Mostrando ítems 1-20 de 147
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A course on Leavitt path algebras
Siles-Molina, Mercedes
(2015-10-05)
En este libro se tratan las nociones básicas relacionadas con dichas álgebras. Se ven ejemplos, se clasifican las de dimensión finita, se caracterizan las simples y las puramente infinitas simples, obteniéndose el principio ... -
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 filtration associated to an abelian inner ideal and the speciality of the subquotient of a Lie algebra.
García, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José (Springer Nature, 2022)
For any abelian inner ideal B of a Lie algebra L such that [B, KerB]^n ⊆ B for some natural n, we build a bounded filtration whose first nonzero term is B and the extremes of the induced Z-graded Lie algebra coincide ... -
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. -
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 ... -
Agregación de min-subgrupos.
Bejines-López, Carlos (2020-02-12)
Sobre procesamiento de imágenes, toma de decisiones e inteligencia artificial. -
Álgebras de Lie con nilradical de tipo 2
(2013-12-18)Se estudia una descripción de la estructura de un álgebra de Lie compleja con nilradical igual a un álgebra de Lie nilpotente de tipo 2 usando la teoría de representaciones de sl_2(C). -
An account on certain annihilating properties in Leavitt path algebras.
(2024)We present that for any graph E and for a commutative unital ring R, the nil ideals of the Leavitt path algebra LR(E) depend solely only the nil ideals of the ring R. A connection between the Jacobson radical of LR(E) and ... -
An approach to absolute valued algebras by reflections
(2013-12-11)This talk deals with the problem of the classification of the finite-dimensional absolute-valued algebras, with an special emphasis in the case of the dimension eight. -
Aspectos locales y globales de la Teoría de los Sistemas de Jordan
(Universidad de Málaga, Servicio de Publicaciones, 2002)La tesis se enmarca dentro del contexto de los sistemas algebraicos con condiciones de finitud. En el primer capítulo se estudian aspectos globales de tales sistemas a través de las propiedades del retículo de los ideales ... -
Associative and Lie algebras of quotients. Zero product determined matrix algebras
Sánchez-Ortega, Juana (Universidad de Málaga, Servicio de Publicaciones, 2007)
La tesis aborda en sus primeras tres cuartas partes el estudio de álgebras de cocientes en diversos ambientes (asociativos, Lie y Jordan). En el caso Lie, la noción de álgebra maximal de cocientes fue introducida por ... -
Avances en la conjetura de Quillen.
(2023)El estudio de los complejos de p-subgrupos comenzó en los años 70 motivado por trabajos de K. Brown y D. Quillen, y guarda conexión con cohomología equivariante "módulo el primo p", teoría de grupos, incluyendo la clasificación ... -
A∞-persistence
(Servicio de Publicaciones y Divulgación Científica, 2015)This work is a mixture of two different worlds: Persistent Homology and A∞-(co)algebras. The former is a new tool in Topological Data Analysis, whilst the latter is a classical concept in Homological Perturbation ... -
Best rank-k approximations for tensors: generalizing Eckart-Young
Tocino-Sánchez, Alicia (2020-02-03)
Joint work with Jan Draisma and Giorgio Ottaviani. Given a tensor f in a Euclidean tensor space, we are interested in the critical points of the distance function from f to the set of tensors of rank at most k, which we ... -
Bolas de fuego y matemáticas.
Castellón-Serrano, Alberto (2021-05-23)
Presentación de la conferencia titulada "Bolas de fuego y matemáticas" para el Departamento de Física Aplicada I -
Braid of braids groups and evolution algebras.
(UMA Editorial, 2024)The purpose of this Thesis is to develop the theory of braid of braids and twin of twin groups. We investigate some of their fundamental structural aspects in detail. We will attach particular importance to the reduced ... -
Butterfly, Möbius, and Double Burnside algebras of noncyclic finite groups
(2018-03-09)The double Burnside ring B(G,G) of a finite group G is the Grothendieck ring of finite (G,G)-bisets with respect to the tensor product of bisets over G. Many invariants of the group G, such as the (single) Burnside ring ... -
C*-algebras associated to Boolean dynamical systems
(2016-03-15)The goal of this talk is to present the C*-algebra $C^*(\mathcal{B}, \mathcal{L}, \theta)$ of a Boolean dynamical system $(\mathcal{B}, \mathcal{L}, \theta)$, that generalizes the $C^*$-algebra associated to a labelled ...