Recent Submissions

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    The curvature tensor of almost cosymplectic and almost Kenmotsu (κ,μ,ν)-spaces  [Presentation]

    Carriazo Rubio, Alfonso; Martín Molina, Verónica (2013)
    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 ...
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    The curvature tensor of almost cosymplectic and almost Kenmotsu ( κ, μ, ν ) -space  [Article]

    Carriazo Rubio, Alfonso; Martín Molina, Verónica (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 ...
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    El papel de las webquest en las NTIC  [Presentation]

    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 de Secundaria y Bachillerato en particular, el concepto de WebQuest (WQ) y sus principales ...
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    Basic concepts on Lorentz simmetry and Minkowsky isogeometry by using the MCIM isotopic model  [Presentation]

    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 the basic unit of any mathematical structure can depend on external factors (such as positions, ...
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    Graphs related to principal autotopisms of Latin squares  [Presentation]

    Falcón Ganfornina, Raúl Manuel (2006-07)
    Latin squares of order nare equivalent to 1-factorizations of Kn,n. In this way, fixed a principal isotopism Θ=(α,β,ε)∈S3n, where Sn is the symmetric group of the set N={0,1, ..., n−1}, we are going to study in this paper ...
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    Los isonúmeros o el porqué de ser 2 x 3 = 5/√7  [Presentation]

    Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2003)
    Uno de los aspectos en los que se basa la enseñanza de las Matemáticas es el manejo del elemento unidad. En este sentido, los números 0 y 1 juegan un papel fundamental. Ahora bien, una de las propiedades en la que basamos ...
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    Critical and forcing sets related to the autotopism group of a Latin square  [Presentation]

    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 [2, 6] having triples of L as shares. In such a scheme, further information about the symmetry of L ...
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    Cuadrados latinos y códigos secretos: actividades con las que interactuar en el aula de matemáticas  [Presentation]

    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 que la lógica matemática está en todo momento presente, los Sudokus han logrado una adición que pocos ...
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    Álgebras admisibles e isoálgebras de Lie-Santilli (aplicación en mecánica clásica y cuántica)  [Presentation]

    Falcón Ganfornina, Raúl Manuel (2004)
    La teoría de admisibilidad en álgebras, introducida por Albert en 1948, ha resultado tener aplicación en diversos campos de la Mecánica Cuántica. En concreto, en relatividad especial, la cual resulta obsoleta en el instante ...
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    Basic concepts on Lorentz symmetry and Minkowsky isogeometry by using MCIM model  [Presentation]

    Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2004-09)
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    Una mascota en clase de Matemáticas  [Presentation]

    Aranda Colubi, Belén; Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel (2005)
    Lo que se pretende en la presente comunicación es hacer entender que disponer de una mascota en una clase de Matemáticas es no sólo posible sino que, llegado el caso, es incluso aconsejable. Para ello compartiremos la ...
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    Θ-critical sets of Latin squares having Θ as a principal autotopism  [Presentation]

    Falcón Ganfornina, Raúl Manuel (2006)
    Any principal autotopism Θ of a Latin square L ∈ LS(n), whose elements are in a set N of n symbols, gives a significant information about the symmetry of L. Although Θ-critical sets of L can be then used in Cryptography ...
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    Mutation graphs of asexual diploid organisms  [Presentation]

    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 by isotopisms of an evolution algebraover a finite field. We describe the step-by-step construction ...
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    Some advances in the research on Lie algebras  [Presentation]

    Benjumea Acevedo, Juan Carlos; Falcón Ganfornina, Raúl Manuel; Fernández Ternero, Desamparados; Márquez García, María del Carmen; Núñez Valdés, Juan (2008)
    The main goal of this poster, which is written in the form of a survey and tries to show some aspects of the research of authors on Lie algebras, is to pay homage to the memory of Pilar Pisón Casares, who was firstly teacher ...
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    Distribution of low dimensional Malcev algebras over finite fields into isomorphism and isotopism classes  [Presentation]

    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 algebras over the finite field Fp, with p prime. This distribution is explicitly determined for dimension ...
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    Santilli's autotopism of associative partial quasigroups  [Presentation]

    Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (International Academic Press, 2007)
    In this paper, given an isotopism Θ ∈ In, we study some properties of the set SAPLS(Θ) of those partial Latin squares being the multiplication table of an associative partial quasigroup having Θ as a Santilli’s autotopism.
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    Isotopisms of Lie algebras  [Presentation]

    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, such a distribution can also be done into isotopism classes. The concept of isotopism was explicitly ...
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    Computing the sets of totally symmetric and totally conjugate orthogonal partial Latin squares by means of a SAT solver  [Presentation]

    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 interest in combinatorics, but also for their applications in distinct fields as experimental design, ...
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    On surfaces in digital topology  [Presentation]

    Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Francés Román, Ángel Ramón; Quintero Toscano, Antonio Rafael; Rubio Sender, Julio (1995)
    In R. Ayala, E. Domínguez, A.R. Francés, A. Quintero, J. Rubio. A Polyhedral Approach to Digital Topology a new framework for digital topology has been proposed. This framework offers the possibility of transfering, in an ...
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    A particular type of non-associative algebras and graph theory  [Presentation]

    Núñez Valdés, Juan; Silvero Casanova, Marithania; Villar Liñán, María Trinidad (World Scientific and Engineering Academy and Society Press, 2011)
    Evolution algebras have many connections with other mathematical fields, like group theory, stochastics processes, dynamical systems and other related ones. The main goal of this paper is to introduce a novel non-usual ...

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