Listar AGT - Artículos por título
Mostrando ítems 11-30 de 31
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Generalized Cesàro operator acting on Hilbert spaces of analytic functions
Mas, Alejandro; Merchán-Álvarez, Noel
; De la Rosa, Elena (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 ... -
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 ... -
Graph algebras and the Gelfand-Kirillov dimension.
Moreno-Fernández, José Manuel; Siles-Molina, Mercedes (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 ... -
Groups as automorphisms of dessins d’enfants
Cañas Muñoz, Alejandro; Hidalgo, Rubén A.; Turiel-Sandín, Francisco Javier; Viruel-Arbaizar, Antonio Ángel (Springer, 2022-08-01)
It is known that every finite group can be represented as the full group of automorphisms of a suitable compact dessin d’enfant. In this paper, we give a constructive and easy proof that the same holds for any countable ... -
Homemade algebraic geometry: celebrating Enrique Arrondo’s 60th birthday
Marchesi, Simone; Tocino-Sánchez, Alicia (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 -
Invariant ideals in Leavitt path algebras.
Gil-Canto, Cristóbal; Martín-Barquero, Dolores; Martín-González, Cándido (Universitat Autònoma de Barcelona, Departament de Matemàtiques. Revista: Publications Matematiques, 2020-06-23)
It is known that the ideals of a Leavitt path algebra LK (E) generated by Pl(E), by Pc(E) or by Pec(E) are invariant under isomorphism. Though the ideal generated by Pb∞ (E) is not invariant we find its “natural” replacement ... -
Lie models of homotopy automorphism monoids and classifying fibrations
Félix, Yves; Fuentes Rumí, Mario; Murillo-Mas, Aniceto (Elsevier, 2022-06-25)
Given X a finite nilpotent simplicial set, consider the classifying fibrations X → B aut∗ G(X) → B autG(X) and X → Z → B aut∗ π (X) where G and π denote, respectively, subgroups of the free and pointed homotopy classes ... -
On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices
Marriaga, Misael E.; Vera de Salas, Guillermo; Latorre, Marta; Muñoz-Alcázar, Rubén José (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 ... -
On isomorphism conditions for algebra functors with applications to Leavitt Path Algebras
Gil-Canto, Cristóbal; Martín-Barquero, Dolores; Martín-González, Cándido; Ruiz Campos, Iván (SpringerLink, 2023-07)
We introduce certain functors from the category of commu- tative rings (and related categories) to that of Z-algebras (not neces- sarily associative or commutative). One of the motivating examples is the Leavitt path ... -
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 ... -
On the speciality of Jordan algebras and subquotients of Lie algebras
García, Esther; Gómez-Lozano, Miguel Ángel; Muñoz-Alcázar, Rubén José (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 -
Smooth actions of connected compact Lie groups with a free point are determined by two vector fields
Turiel-Sandín, Francisco Javier; Viruel-Arbaizar, Antonio Ángel (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 ... -
Squares and associative representations of two dimensional evolution algebras
Cardoso Gonçalves, Maria Inez; Gonçalves, Daniel; Martín-Barquero, Dolores; Martín-González, Cándido; Siles-Molina, Mercedes (World Scientific, 2021)
We associate an square to any two dimensional evolution algebra. This geomet- ric object is uniquely determined, does not depend on the basis and describes the structure and the behaviour of the algebra. We determine the ... -
Tensor Product of Evolution Algebras
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (Springer Nature, 2022-12-28)
The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and ... -
Tensor product of evolution algebras.
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (SpringerLink, 2022-12-28)
The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and ... -
Ternary mappings of triangular algebras
Martín-Barquero, Dolores; Martín-González, Cándido; Sánchez-Ortega, Juana; Vandeyar, Morgan (SpringerLink, Aequationes Mathematicae, 2021-03)
We take acategorical approach to describe ternary derivations and ternary automorphisms of triangular algebras. New classes of automorphisms and derivations of triangular algebras are also introduced and studied. -
The Achievement Set of Generalized Multigeometric Sequences
Karvatskyi, Dmytro; Murillo-Mas, Aniceto; Viruel-Arbaizar, Antonio Ángel (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 ... -
The Milnor-Moore theorem for L∞ algebras in rational homotopy theory
Moreno-Fernández, José Manuel (Springer, 2021-09-20)
We give a construction of the universal enveloping A∞ algebra of a given L∞ algebra, alternative to the already existing versions. As applications, we derive a higher homotopy algebras version of the classical Milnor-Moore ... -
Two-dimensional perfect evolution algebras over domains
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido (SpringerLink, 2023-01)
We will study evolution algebras A that are free modules of dimension two over domains. We start by making some general considerations about algebras over domains: They are sandwiched between a certain essential D-submodule ... -
Two-dimensional perfect evolution algebras over domains.
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido (Springer Nature, 2023-01-23)
We will study evolution algebras A that are free modules of dimension two over domains. We start by making some general considerations about algebras over domains: They are sandwiched between a certain essential D-submodule ...