Listar AGT - Artículos por fecha de publicación
Mostrando ítems 1-20 de 31
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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 ... -
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 ... -
Using the Steinberg Algebra Model to determine the center of any Leavitt Path Algebra
(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 ... -
Classification of leavitt path algebras with two vertices
(Independent University of Moscow, 2019-07)We classify row-finite Leavitt path algebras associated to graphs with no more than two vertices. For the discussion we use the following invariants: decomposability, the K0 group, detpNE1 q (included in the Franks ... -
Invariant ideals in Leavitt path algebras.
(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 ... -
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 -
Squares and associative representations of two dimensional evolution algebras
(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 ... -
Ternary mappings of triangular algebras
(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. -
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 ... -
The Milnor-Moore theorem for L∞ algebras in rational homotopy theory
(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 ... -
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 ... -
Lie models of homotopy automorphism monoids and classifying fibrations
(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 ... -
Contact structures on null hypersurfaces
(Elsevier, 2022-08)The aim of this paper is to show how we can induce contact structures, contact metric structures and Sasaki structures on a null hypersurface from a rigging vector field. We give several explicit examples of this construction ... -
Groups as automorphisms of dessins d’enfants
(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 ... -
Classification of fiber sequences with a prescribed holonomy action
(Elsevier, 2022-08-01)We define H-fibration sequences as fibrations where the holonomy action of the fundamental group of the base on the fiber lies in a given subgroup H of E(F ), where E(F ) is the homotopy automorphism group of the fiber. ... -
A filtration associated to an abelian inner ideal of a Lie algebra.
(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 ... -
Tensor product of evolution algebras.
(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 ... -
Tensor Product of Evolution Algebras
(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 ... -
Gradings induced by nilpotent elements.
(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 ... -
Two-dimensional perfect evolution algebras over domains
(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 ...