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Listar Geometría y Topología por autor "Falcón Ganfornina, Raúl Manuel"
Mostrando ítems 1-20 de 40
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Artículo
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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Ponencia
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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Artículo
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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Artículo
A particular case of extended isotopisms: Santilli's isotopisms
Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Hadronic Press, 2006)Due to a mathematical necessity, it has been proved that it is convenient to give a new interpretation of the multiplicity ...
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Artículo
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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Artículo
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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Artículo
An approach to the isotheory by means of extended pseudoisotopisms
Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (American Institute of Physics, 2016)Based on the traditional concept of isotopism, extended isotopisms were introduced by the authors in 2006 in order to ...
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Artículo
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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Ponencia
Álgebras admisibles e isoálgebras de Lie-Santilli (aplicación en mecánica clásica y cuántica)
Falcón Ganfornina, Raúl Manuel (2004)La teoría de admisibilidad en álgebras, introducida por Albert en 1948, ha resultado tener aplicación en diversos campos ...
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Ponencia
Basic concepts on Lorentz simmetry and Minkowsky isogeometry by using the MCIM isotopic model
Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2004-09)At 1978, R.M. Santilli proposed to generalize the conventional Lie theory by using isotopies. To do it, he considered that ...
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Ponencia
Basic concepts on Lorentz symmetry and Minkowsky isogeometry by using MCIM model
Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2004-09) -
Artículo
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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Artículo
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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Ponencia
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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Artículo
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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Ponencia
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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Ponencia
Conceptos básicos sobre isocriptografía siguiendo el modelo MCIM
Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (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 ...
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Ponencia
Critical and forcing sets related to the autotopism group of a Latin square
Falcón Ganfornina, Raúl Manuel (2006)In Cryptography, critical sets of any Latin square L can be used to get the access structure of a secret sharing scheme ...
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Ponencia
Cuadrados latinos y códigos secretos: actividades con las que interactuar en el aula de matemáticas
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel (2007-07)El “fenómeno Sudoku”, iniciado en España en el año 2005, ha alcanzado un éxito destacable. Tratándose de un juego en el ...
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Ponencia
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 ...