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Artículo
Description of some families of filiform Lie algebras
(University of Houston, 2008)
In this paper we describe some families of filiform Lie algebras by giving a method which allows to obtain them in any arbitrary dimension n starting from the triple (p, q, m), where m = n and p and q are, respectively, ...
Artículo
La banda de Möbius: un camino que te llevará de cabeza
(Federacion Española de Sociedades de Profesores de Matemáticas, 2007-02)
Este artículo se ha escrito con el objetivo de mostrar la superficie geométrica denominada banda de Möbius como herramienta para potenciar la motivación e interés de los alumnos, tanto de bachillerato como universitarios, ...
Artículo
Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field
(Elsevier, 2017-02-15)
Evolution algebras were introduced into Genetics to deal with the mechanism of inheritance of asexual organisms. Their distribution into isotopism classes is uniquely related with the mutation of alleles in nonMendelian ...
Artículo
Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
(Springer, 2015-04)
In this paper, we study how two important ideals of a given Lie algebra g (namely, the center Z(g) and the derived Lie algebra D(g)) can be translated into the language of Graph Theory. In this way, we obtain some criteria ...
Artículo
Certain particular families of graphicable algebras
(Elsevier, 2014-11-01)
In this paper, we introduce some particular families of graphicable algebras obtained by following a relatively new line of research, initiated previously by some of the authors. It consists of the use of certain objects ...
Artículo
An approach to the isotheory by means of extended pseudoisotopisms
(American Institute of Physics, 2016)
Based on the traditional concept of isotopism, extended isotopisms were introduced by the authors in 2006 in order to provide a fundamental basis to the isotheory of Santilli. Since that first attempt, distinct studies on ...
Ponencia
Conceptos básicos sobre isocriptografía siguiendo el modelo MCIM
(Universidad Politécnica de Madrid, 2004)
Una de las aplicaciones prácticas de la isoteoría de Santilli que ha surgido en los últimos años se refiere al campo de la criptografía. Generalizando la unidad utilizada en los criptogramas se originan una nueva clase ...
Artículo
A historical review of the classifications of Lie algebras
(Unión Matemática Argentina, 2013)
The problem of Lie algebras’ classification, in their different varieties, has been dealt with by theory researchers since the early 20th century. This problem has an intrinsically infinite nature since it can be inferred ...
Artículo
¿Conocía Sherlock Holmes la teoría de grafos?
(Federación Iberoamericana de Educación Matemática, 2007-06)
En este artículo se muestran las ventajas que ofrece la Teoría de Grafos a la hora de resolver determinados problemas clásicos de Matemáticas, que normalmente se suelen intentar probando una a una las diferentes posibilidades ...
Artículo
Maria Cibrario Cinquini: Una matemática entre tres buenos matemáticos
(Universidad de Almería, 2017-01-26)