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Ponencia
Distribution of low dimensional Malcev algebras over finite fields into isomorphism and isotopism classes
(2015)
This paper addresses the distribution into isomorphism and isotopism classes of the set Mn,p of n-dimensional Malcev algebras over the finite field Fp, with p prime. This distribution is explicitly determined for dimension ...
Artículo
Un paseo fotográfico por la vida de Sophus Lie
(Sociedad Colombiana de Matemáticas, 2010)
It is quite a lot scarce the literature on the Norwegian mathematician Sophus Lie, in spite of being him, as the great volume of his works demonstrates, one of the most important mathematicians throughout the history. In ...
Artículo
Directed pseudo-graphs and Lie algebras over finite fields
(Institute of Mathematics, Czech Academy of Sciences, 2014-03)
The main goal of this paper is to show an application of Graph Theory to classifying Lie algebras over finite fields. It is rooted in the representation of each Lie algebra by a certain pseudo-graph. As partial results, ...
Artículo
On the Freudenthal extensions of proper confluent maps
(University of Houston, 2012)
In this paper we study when Freudenthal extensions of proper maps preserve the (weak, semi) confluency. Also the extensions to the Alexandroff one-point compactificaton are considered.
Artículo
An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics
(MDPI, 2019)
Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of the evolution algebra describing the genetic pattern of the inheritance process. We identify any ...
Ponencia
Muchos siglos antes de Hipatia ya hubo mujeres matemáticas
(2010)
Evidentes razones mediáticas (película Ágora de 2009, biografías, documentales...), unidas a razones ciertamente científicas (obra geométrica, estudio de las secciones cónicas…) han convertido la vida de Hipatia de ...
Ponencia
La arquitectura, un lugar para las mujeres
(Unidad para la Igualdad, Universidad de Sevilla, 2011)
En el año 2010 se cumplió el centenario de la Real Orden del Ministerio de Instrucción Pública y Bellas Artes por la que se permitía la “admisión de mujeres en todos los establecimientos docentes”, publicada en La Gaceta ...
Artículo
Almost cosymplectic and almost Kenmotsu (κ, μ, ν)-spaces
(Springer, 2013-08)
We study the Riemann curvature tensor of (κ, µ, ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of ...
Artículo
Computation of isotopisms of algebras over finite fields by means of graph invariants
(Elsevier, 2017-07)
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over finite fields to isomorphic graphs. These functors reduce the cost of computation that is usually ...
Artículo
Isomorphism and Isotopism Classes of Filiform Lie Algebras of Dimension up to Seven Over Finite Fields
(Springer, 2016)
Since the introduction of the concept of isotopism of algebras by Albert in 1942, a prolific literature on the subject has been developed for distinct types of algebras. Nevertheless, there barely exists any result on the ...