Álgebra, Geometría y Topología - (AGT)
Estas son las colecciones en las que puede catalogar la producción investigadora del departamento Álgebra, Geometría y Topología. Si considera que ninguna de estas se ajusta a su material pida una nueva colección en la sección de sugerencias.
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A filtration associated to an abelian inner ideal and the speciality of the subquotient of a Lie algebra.
(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 ... -
Finite sets containing zero are mapping degree sets
(Elsevier, 2024)In this paper we solve in the positive the question of whether any finite set of integers, containing 0, is the mapping degree set between two oriented closed connected manifolds of the same dimension. We extend this ... -
A Description of Ad-nilpotent Elements in Semiprime Rings with Involution
(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 ... -
Ad-Nilpotent Elements of Skew Index in Semiprime Rings with Involution
(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 ... -
On the speciality of Jordan algebras and subquotients of Lie algebras
(Elsevier, 2020-09-01)In this paper we study conditions on the own structure of the Lie algebras that imply the specialty of these Jordan algebras. Similar results are obtained when dealing with subquotients associated to abelian inner ideals -
On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices
(World Scientific Publishing Company, 2024-04)Classical moment functionals (Hermite, Laguerre, Jacobi, Bessel) can be characterized as those linear functionals whose moments satisfy a second-order linear recurrence relation. In this work, we use this characterization ... -
A Jordan canonical form for nilpotent elements in an arbitrary ring.
(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 ... -
Graph algebras and the Gelfand-Kirillov dimension.
(World Scientific Publishing, 2018)We study some properties of the Gelfand-Kirillov dimension in a non-necessarily unital context. In particular, its Morita invariance when the algebras have local units, and its commutativity with direct limits. We then ... -
On prescribed characteristic polynomials.
(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 ... -
Microcredenciales. Formación inclusiva en todos los formatos y para todas las edades
(2023)Este texto recoge la conferencia que impartí el 1 de diciembre de 2023 en el Salón de Actos de la Facultad de Ciencias Económicas y Empresariales de la Universidad de Alicante, invitada por el equipo decanal de la Facultad ... -
¿Qué sería de la relatividad sin las matemáticas? Emmy Noether nos da la respuesta.
(2015)Este texto recoge la conferencia que impartí en el Salón de Grados de la Facultad de Derecho de la Universidad de Málaga el 9 de marzo de 2015 con motivo de la celebración del 8 de marzo, Día Internacional de la Mujer, ... -
Superficies de curvatura no positiva en la esfera tridimensional.
(2024)Demostraremos que toda esfera analítica bidimensional $S$ inmersa en $S^3$, con curvaturas principales $k_1,k_2$ cumpliendo que $k_1 k_2\leq 0$ debe ser totalmente umbilical. Esto mejora algunos resultados bien conocidos ... -
Geodesic connectedness of a spacetime with a causal Killing vector field.
(2024)We study the geodesic connectedness of a globally hyperbolic spacetime (M, g) admitting a complete smooth Cauchy hypersurface S and endowed with a complete causal Killing vector field K. The main assumptions are that ... -
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 ... -
Extension problem associated with socle of monomial algebras.
(2024)We show that a monomial algebra Λ over an algebraically closed field K is self-injective if and only if each map soc(ΛΛ) −→ ΛΛ can be extended to an endomorphism of ΛΛ, and provide a complete classification of such ... -
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 ... -
Generalized Cesàro operator acting on Hilbert spaces of analytic functions
(Springer, 2024-05-14)Let D denote the unit disc in C. We define the generalized Cesàro operator as follows: Cω( f )(z) = 1 0 f (t z) 1 z z 0 Bω t (u) du ω(t)dt, where {Bω ζ }ζ∈D are the reproducing kernels of the Bergman space ... -
Homemade algebraic geometry: celebrating Enrique Arrondo’s 60th birthday
(Springer, 2024)In this survey we recognize Enrique Arrondo’s contributions over the whole of his career, recalling his professional history and collecting the results of his mathematical productio -
Smooth actions of connected compact Lie groups with a free point are determined by two vector fields
(Elsevier, 2024-04-10)Consider a smooth action of a compact connected Lie group G on a connected manifold M. Assume the existence of a point of M whose isotropy group has a single element (a free point). Then we prove that there exist two ... -
The Achievement Set of Generalized Multigeometric Sequences
(Springer, 2024-04-13)We study the topology of all possible subsums of the generalized multigeometric series where are fixed positive real numbers and f runs along a certain class of non-negative functions on the unit interval. We detect ...