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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, ...
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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, ...
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Minimal covers of open manifolds with half-spaces and the proper L-S category of product spaces
(Belgian Mathematical Society, 2002-09)
Classical results about the Lusternik-Schnirelmann category of product spaces have their analogues in the category of proper maps. By comparing the proper Lusternik-Schnirelmann category of an open manifold X with ...
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Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
(Elsevier, 2019-04-01)
We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, under appropriate mild assumptions, there exists in fact a plethora of such functions, in both ...
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Normal approximations of regular curves and surfaces
(Faculty of Sciences and Mathematics, University of Nis, Serbia, 2015)
Bezier curves and surfaces are two very useful tools in Geometric Modeling, with many applications. In this paper, we will offer a new method to provide approximations of regular curves and surfaces by Bezier ones, with ...
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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 ...
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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 ...
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Relating the Freiheitssatz to the asymptotic behavior of a group
(European Mathematical Society, 2013)
We are concerned with the implications of the Freiheitssatz property for certain group presentations in terms of proper homotopy invariants of the underlying group, by describing its fundamental pro-group. A finitely ...
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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 ...
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Different methods for the study of obstructions in the schemes of Jacobi
(Association des Annales de l'Institut Fourier, 2011)
In this paper the problem of obstructions in Lie algebra deformations is studied from four different points of view. First, we illustrate the method of local ring, an alternative to Gerstenhaber’s method for Lie deformations. ...