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Browsing Matemática Aplicada I by Author "Falcón Ganfornina, Óscar Jesús"
Now showing items 1-20 of 22
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Article
A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Wiley, 2016)The set of Mn(K) of n-dimensional Malcev magma algebras over a finite field can be identified with algebraic sets defined ...
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Presentation
A faithful functor among algebras and graphs
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (Computational and Mathematical Methods in Science and Engineering, 2016)The problem of identifying a functor between the categories of algebras and graphs is currently open. Based on a known ...
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Article
A historical perspective of the theory of isotopisms
Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (MDPI, 2018-08-03)In the middle of the twentieth century, Albert and Bruck introduced the theory of isotopisms of non-associative algebras ...
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Article
Algebraic computation of genetic patterns related to three-dimensional evolution algebras
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Elsevier, 2018-02-15)The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any ...
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Article
An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics
Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (MDPI, 2019)Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of ...
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Article
Análisis de algunas WebQuest dedicadas a la Historia de las Matemáticas
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Sociedad Canaria Isaac Newton de Profesores de Matemáticas, 2010-03)Este artículo trata el concepto y la utilización de las WebQuest por parte del profesorado de Matemáticas en los diferentes ...
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Article
Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Elsevier, 2017-02-15)Evolution algebras were introduced into Genetics to deal with the mechanism of inheritance of asexual organisms. Their ...
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Article
Classification of filiform Lie algebras up to dimension 7 over finite fields
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (Ovidius University, 2016)This paper tries to develop a recent research which consists in using Discrete Mathematics as a tool in the study of the ...
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Presentation
Classifications of evolution algebras over finite fields
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2016-01)In this communication we deal with a class of emerging algebras called evolution algebras. These algebras were firstly ...
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Article
Computation of isotopisms of algebras over finite fields by means of graph invariants
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (Elsevier, 2017-07)In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over ...
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Presentation
Computing the sets of totally symmetric and totally conjugate orthogonal partial Latin squares by means of a SAT solver
Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (Computational and Mathematical Methods in Science and Engineering, 2017-07)Conjugacy and orthogonality of Latin squares have been widely studied in the literature not only for their theoretical ...
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Article
Counting and enumerating partial Latin rectangles by means of computer algebra systems and CSP solvers
Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (Wiley, 2018)This paper provides an in-depth analysis of how computer algebra systems and CSP solvers can be used to deal with the ...
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Presentation
Distribution of low dimensional Malcev algebras over finite fields into isomorphism and isotopism classes
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2015)This paper addresses the distribution into isomorphism and isotopism classes of the set Mn,p of n-dimensional Malcev ...
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Presentation
Gene mutations in evolution algebras by means of strong isotopisms
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2016) -
Article
Isotopism and isomorphism classes of certain Lie algebras over finite fields
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Springer, 2015)In the current paper, we study the distribution into isotopism and isomorphism classes of the relevant family FpnFnp of ...
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Presentation
Isotopismos de álgebras de Lie filiformes sobre cuerpos finitos
Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (2013-10)El presente trabajo trata la distribución del conjunto $\mathcal{F}_n^p$ de álgebras de Lie filiformes de dimensión $n$ ...
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Presentation
Isotopisms of Lie algebras
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2015)The distribution of algebras into equivalence classes is usually done according to the concept of isomorphism. However, ...
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Presentation
Low-dimensional filiform Lie algebras over finite fields
Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (World Scientific and Engineering Academy and Society Press, 2011)In this paper we use some objects of Graph Theory to classify low-dimensional filiform Lie algebras over finite fields. ...
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Presentation
Mutation graphs of asexual diploid organisms
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2017-07)The mutation graph of an asexual diploid organism is introduced as an edgecolouredgraph derived from the genetic pattern ...
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Presentation
El papel de las webquest en las NTIC
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (2008-07)La ponencia que aquí se presenta persigue un triple objetivo. Por una parte, mostrarle al lector en general, y al profesorado ...