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Ponencia
Some advances in the research on Lie algebras
(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 ...
Ponencia
El papel de las webquest en las NTIC
(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 ...
Ponencia
Determinants of latin squares of a given pattern
(2008-07)
Cycle structures of autotopisms of Latin squares determine all possible patterns of this kind of design. Moreover, given any isotopism, the number of Latin squares containing it in their autotopism group only depends on ...
Ponencia
0/1-Polytopes related to Latin squares autotopisms
(2008)
The set LS(n) of Latin squares of order n can be represented in Rn3 as a (n−1)3-dimensional 0/1-polytope. Given an autotopism Θ=(α,β,γ)∈An, we study in this paper the 0/1-polytope related to the subset of LS(n) having Θ ...
Ponencia
The Chemist's Cabinet Puzzle: a polynomial approach
(Universidad de Granada. Departamento de Álgebra, 2008-09)
Realizamos un análisis del juego conocido por el herbolario. Se modeliza su solución mediante un sistema polinómico, y deducimos el número de soluciones a partir de herramientas de Álgebra Conmutativa.
Ponencia
Extending Attribute Exploration by Means of Boolean Derivatives
(CEUR-WS, 2008)
We present a translation of problems of Formal Context Analysis into ideals problems in F2[x] through the Boolean derivatives. The Boolean derivatives are introduced as a kind of operators on propositional formulas which ...
Ponencia
The 3-dimensional planar assignment problem and the number of Latin squares related to an autotopism
(2008)
There exists a bijection between the set of Latin squares of order n and the set of feasible solutions of the 3-dimensional planar assignment problem (3 PAPn). In this paper, we prove that, given a Latin square isotopism ...
Ponencia
Designs based on the cycle structure of a Latin square autotopism
(2008)
Latin squares have been historically used in order to create statistical designs in which, starting from a small number of experiments, it can be obtained a large experimental space. In this sense, the optimization of the ...
Ponencia
New advances in the study of Gröbner bases and the number of latin squares related to autotopisms
(2008-02)
Gröbner bases has been used in [4] to describe an algorithm that allows one to obtain the number of Latin squares of order up to 7 having a given isotopism in their autotopism group. In order to improve the time of computation ...
Ponencia
Structural patterns of autotopisms of maximum rank quasigroups
(2008-10)
In this paper, some properties of the set Qn of those quasigroups of n elements having maximum rank n are studied. Although one such a quasigroup Q must be a loop, the reciprocal is false in general. So, the existence of ...