Author profile: Falcón Ganfornina, Raúl Manuel
Institutional data
| Name | Falcón Ganfornina, Raúl Manuel |
| Department | Matemática Aplicada I |
| Knowledge area | Matemática Aplicada |
| Professional category | Profesor Titular de Universidad |
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Statistics
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No. publications
144
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No. visits
18475
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No. downloads
27701
| Publications |
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Article
 The r-dynamic edge coloring of a closed helm graph
(Unión Matemática Argentina, 2023)
As a natural generalization of the classical coloring problem in graph theory, the dynamic coloring problem deals with the ... |
Article
Set-independence graphs of vector spaces and partial quasigroups
(Yildiz Technical University, 2023)
As a generalization of independence graphs of vector spaces and groups, we introduce the notions of set-independence graphs ... |
Master's Final Project
Estudio de una ruta óptima de evacuación ante tsunamis para la zona históricamente más afectada de la ciudad de Cádiz mediante el uso de grafos y algoritmos, aplicando herramientas SIG
(2023)
Las rutas de evacuación son caminos diseñados para que la población se desplace de forma ordenada y planificada hacia zonas ... |
Master's Final Project
Conjuntos críticos asociados a autotopismos no triviales de cuadrados latinos de orden seis
(2023)
Fijado un isotopismo Θ asociado al grupo simétrico Sn, se dice que un cuadrado latino parcial P de orden n es Θ-completable ... |
Article
A computational approach to analyze the Hadamard quasigroup product
(American Institute of Mathematical Sciences (AIMS), 2023)
Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as ... |
Article
Solving the dynamic coloring problem for direct products of paths with fan graphs
(Sciendo, 2023)
This paper deals with the r-dynamic chromatic problem of the direct product of a path with a fan graph Fm,n. The problem ... |
Article
Local fractional metric dimension of rotationally symmetric planar graphs arisen from planar chorded cycles
(Sapienza Università Editrice, 2023)
In this paper, a new family of rotationally symmetric planar graphs is described based on an edge coalescence of planar ... |
Article
A new quasigroup isomorphism invariant arising from fractal image patterns
(Chişinău: Institutul de Matematică şi Informatică "Vladimir Andrunachievici", 2022)
The analysis and recognition of fractal image patterns derived from Cayley tables has turned out to play a relevant role ... |
Article
Optimal Shadow Allocations of Secret Sharing Schemes Arisen from the Dynamic Coloring of Extended Neighborhood Coronas
(MDPI, 2022)
Every t-dynamic proper n-coloring of a graph G describes a shadow allocation of any (n, t + 1)-threshold secret sharing ... |
Article
Recognition and Analysis of Image Patterns Based on Latin Squares by Means of Computational Algebraic Geometry
(MDPI, 2021)
With the particular interest of being implemented in cryptography, the recognition and analysis of image patterns based ... |
Article
Pseudococyclic Partial Hadamard Matrices over Latin Rectangles
(MDPI [Commercial Publisher], 2021)
The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle ... |
Article
A paradigmatic approach to investigate restricted hyper totient graphs
(AIMS Press, 2021)
Nowadays, the problem of finding families of graphs for which one may ensure the existence of a vertex-labeling and/or an ... |
Presentation
New advances concerning critical sets based on Latin square autotopisms
(Kongunadu Arts and Science College, 2021)
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Article
On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph
(AIMS Press, 2021)
In this paper, it is explicitly determined the r-dynamic chromatic number of the direct product of any given path with ... |
Article
On the r-dynamic coloring of some fan graph families
(Ovidius University Constanta, 2021)
In this paper, we determine the r-dynamic chromatic number of the fan graph Fm,n and determine sharp bounds of this graph ... |
Article
A historical perspective of Tian’s evolution algebras
(Elsevier, 2021)
Even if it has been less than a decade and a half since Tian introduced his concept of evolution algebras to represent ... |
Master's Final Project
Probeta: el aljibe contemporáneo
(2020)
Al sur de España y al este de Andalucía nos encontramos con el Campo de Dalías, la mayor huerta de Europa. Esta llanura ... |
Master's Final Project
Atractores de hábitat en la balsa del Sapo: defensa en tierra
(2020)
En el siguiente documento se desarrolla un análisis tanto histórico como morfológico del Campo de Dalías, perteneciente a ... |
Article
The use of non-destructive testing to evaluate the compressive strength 1 of a lime-stabilised rammed-earth wall: Rebound index and ultrasonic pulse velocity
(Elsevier, 2020)
The non-standardization of rammed earth construction involves the quality control of such a technique to be so troublesome ... |
Article
On Cocyclic Hadamard Matrices over Goethals-Seidel Loops
(MDPI, 2020)
About twenty-five years ago, Horadam and de Launey introduced the cocyclic development of designs, from which the notion ... |
Article
On the r-dynamic coloring of the direct product of a path with either a path or a cycle
(AIMS Press, 2020)
In this paper, we determine explicitly the r-dynamic chromatic number of the direct product of any given path with either a path or a cycle. Illustrative examples are shown for each one of the cases that are studied throughout the paper. |
Article
Rammed Earth Construction: A Proposal for a Statistical Quality Control in the Execution Process
(MDPI AG, 2020)
Unlike other common contemporary construction materials such as concrete, mortars, or fired clay bricks, which are widely ... |
Article
On the r-dynamic coloring of subdivision-edge coronas of a path
(AIMS Press, 2020)
This paper deals with the r-dynamic chromatic number of the subdivision-edge corona of a path and exactly one of the ... |
Article
A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five
(AIMS Press, 2020)
This paper delves into the study of critical sets of Latin squares having a given isotopism in their autotopism group. ... |
Article
A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares
(Springer, 2019)
Latin squares are used as scramblers on symmetric-key algorithms that generate pseudo-random sequences of the same length. ... |
Article
Generating binary partial Hadamard matrices
(Elsevier, 2019)
This paper deals with partial binary Hadamard matrices. Although there is a fast simple way to generate about a half (which ... |
Article
Computing autotopism groups of partial Latin rectangles: A pilot study
(Wiley, 2019)
Computing the autotopism group of a partial Latin rectangle can be performed in a variety of ways. This pilot study has ... |
Article
Cocyclic Hadamard matrices over Latin rectangles
(Elsevier, 2019)
In the literature, the theory of cocyclic Hadamard matrices has always been developed over finite groups. This paper ... |
Article
An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics
(MDPI, 2019)
Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of ... |
Presentation
Towards a life cycle sustainability assessment method for the quantification and reduction of impacts of buildings life cycle
(Graz University of Technology, 2019)
The construction and building sectorsare one of the highestconsumersof resourcesand energy. Literature evidences the ... |
Article
A historical perspective of the theory of isotopisms
(MDPI, 2018)
In the middle of the twentieth century, Albert and Bruck introduced the theory of isotopisms of non-associative algebras ... |
Article
Algebraic computation of genetic patterns related to three-dimensional evolution algebras
(Elsevier, 2018)
The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any ... |
Article
 A Mixed Heuristic for Generating Cocyclic Hadamard Matrices
(Springer, 2018)
A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming from a novel notion ... |
Article
Gröbner bases and cocyclic Hadamard matrices
(Elsevier, 2018)
Hadamard ideals were introduced in 2006 as a set of nonlin-ear polynomial equations whose zeros are uniquely related ... |
Article
Counting and enumerating partial Latin rectangles by means of computer algebra systems and CSP solvers
(Wiley, 2018)
This paper provides an in-depth analysis of how computer algebra systems and CSP solvers can be used to deal with the ... |
| Presentation |
Presentation
Computing the sets of totally symmetric and totally conjugate orthogonal partial Latin squares by means of a SAT solver
(Computational and Mathematical Methods in Science and Engineering, 2017)
Conjugacy and orthogonality of Latin squares have been widely studied in the literature not only for their theoretical ... |
Presentation
Mutation graphs of asexual diploid organisms
(2017)
The mutation graph of an asexual diploid organism is introduced as an edgecolouredgraph derived from the genetic pattern ... |
Article
Computation of isotopisms of algebras over finite fields by means of graph invariants
(Elsevier, 2017)
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over ... |
Presentation
Generating partial Hadamard matrices as solutions to a Constraint Satisfaction Problem characterizing cliques
(2017)
A procedure is described looking for partial Hadamard matrices, as cliques of a particular subgraph Gt of Ito’s Hadamard ... |
Presentation
Autotopism stabilized colouring games on rook's graphs
(2017)
Based on the fact that every partial colouring of the rook’s graph Kr✷Ks is uniquely related to an r × s partial Latin ... |
Final Degree Project
Geometría mudéjar en el Patio de las Doncellas, Real Alcazar de Sevilla
(2017)
Desde hace varios siglos, Sevilla se caracteriza por sus patios llenos de zócalos de cerámica, lo que caracteriza su ... |
| Presentation |
| Presentation |
Article
Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field
(Elsevier, 2017)
Evolution algebras were introduced into Genetics to deal with the mechanism of inheritance of asexual organisms. Their ... |
Presentation
(Pseudo)-cocyclic (structured) Hadamard matrices over (quasi)groups
(2017)
Progressing on a survey of the state of the art of cocyclic constructions for Hadamard matrices, we will prove that the ... |
| Presentation |
Article
Aproximación a la gestión económica integral de las obras por procesos productivos: elaboración del modelo COP de control de costes de construcción
(2017)
La profunda crisis económica sufrida recientemente en España ha puesto de manifiesto la vulnerabilidad del Sector de ... |
Article
Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups
(Elsevier, 2017)
An $r \times s$ partial Latin rectangle $(l_{ij})$ is an $r \times s$ matrix containing elements of $\{1,2,\ldots,n\} \cup ... |
PhD Thesis
Distribución de álgebras de lie, MALCEV y evolución en clases de isotopismos
(2016)
El presente manuscrito trata distintos aspectos de la teoría de isotopismos de álgebras, centrándose en particular en los ... |
| Presentation |
Presentation
Resolución interactiva de problemas con GeoGebra
(2016)
En la presente comunicación se pretende abordar cómo trabajar en el aula la resolución interactiva de algunos de los ... |
Article
Estimating building construction costs: analysis of the processbasedbudget model (POP Model)
(Pontificia Universidad Católica de Chile, 2016)
The recent economic crisis suffered by the Spanish construction sector has brought to light its excessive vulnerability ... |
Article
Classification of filiform Lie algebras up to dimension 7 over finite fields
(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 ... |
Article
A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields
(Wiley, 2016)
The set of Mn(K) of n-dimensional Malcev magma algebras over a finite field can be identified with algebraic sets defined ... |
| Presentation |
Article
An approach to the isotheory by means of extended pseudoisotopisms
(American Institute of Physics, 2016)
Based on the traditional concept of isotopism, extended isotopisms were introduced by the authors in 2006 in order to ... |
| Presentation |
| Presentation |
Presentation
Classifications of evolution algebras over finite fields
(2016)
In this communication we deal with a class of emerging algebras called evolution algebras. These algebras were firstly ... |
Article
Isomorphism and Isotopism Classes of Filiform Lie Algebras of Dimension up to Seven Over Finite Fields
(Springer, 2016)
Since the introduction of the concept of isotopism of algebras by Albert in 1942, a prolific literature on the subject has ... |
Article
Counting and enumerating feasible rotating schedules by means of Gröbner bases
(Elsevier, 2016)
This paper deals with the problem of designing and analyzing rotating schedules with an algebraic computational approach. ... |
Presentation
A faithful functor among algebras and graphs
(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 ... |
Article
Santilli autotopisms of partial groups
(Science Publishing Group, 2015)
This paper deals with those partial groups that contain a given Santilli isotopism in their autotopism group. A classification of these autotopisms is explicitly determined for partial groups of order n ≤ 4. |
| Presentation |
| Presentation |
Article
Designing evacuation routes with GeoGebra
(GeoGebra Institute of Timisoara, 2015)
We expose in this paper how the command ShortestDistance can be used in GeoGebra to design evacuation routes in buildings ... |
Presentation
Isotopisms of Lie algebras
(2015)
The distribution of algebras into equivalence classes is usually done according to the concept of isomorphism. However, ... |
Article
Enumeration and classification of self-orthogonal partial Latin rectangles by using the polynomial method
(Elsevier, 2015)
The current paper deals with the enumeration and classification of the set SORr,n of self-orthogonal r × r partial Latin ... |
Article
Modelización matemática de sistemas CAD en Edificación
(Universitat Politècnica de València, 2015)
Existe una amplia gama de sistemas CAD destinados a modelar objetos tridimensionales. Basados en una creación y transformación ... |
Article
Mathematical foundations of Santilli isotopies
(Hadronic Press, 2015)
The main objective of this text is to present the most basic and fundamental aspects of the isotopic Lie-Santilli theory, ... |
Article
Isotopism and isomorphism classes of certain Lie algebras over finite fields
(Springer, 2015)
In the current paper, we study the distribution into isotopism and isomorphism classes of the relevant family FpnFnp of ... |
Presentation
Distribution of low dimensional Malcev algebras over finite fields into isomorphism and isotopism classes
(2015)
This paper addresses the distribution into isomorphism and isotopism classes of the set Mn,p of n-dimensional Malcev ... |
Article
The use of GeoGebra in Discrete Mathematics
(GeoGebra Institute of Timisoara, 2015)
In this paper we explain how to make use of the commands that are available in GeoGebra to deal with some realistic problems ... |
| Others
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Article
Schedule and Cost Control in Dwelling Construction Using Control Charts
(Bentham Open, 2014)
Methods to monitor the schedule and to control cost in dwelling construction projects are numerous and varied but commonly ... |
Article
Estimating building construction costs by production processes
(2014)
Building actors need accurate estimates in order to efficiently undertake the construction of buildings. The knowledge of ... |
Presentation
Isotopismos de álgebras de Lie filiformes sobre cuerpos finitos
(2013)
El presente trabajo trata la distribución del conjunto $\mathcal{F}_n^p$ de álgebras de Lie filiformes de dimensión $n$ ... |
Presentation
Usando GeoGebra en teoría de grafos
(2013)
En las últimas versiones de GeoGebra se observa la aparición de un mayor número de herramientas avanzadas relacionadas con ... |
Presentation
Creación de actividades autoevaluables con GeoGebra
(2013)
En el presente taller se muestra cómo crear ejercicios autoevaluables que se adapten al nivel del alumnado, aprovechando ... |
Presentation
Designing rotating schedules by using Gröbner bases
(2013)
In the current paper, we deal with the problem of designing rotating schedules from an algebraic computational approach. ... |
| Presentation |
Presentation
GeoGebra y la diversidad en el aula de Matemáticas
(2012)
En el presente taller se elaboran actividades basadas en las nuevas herramientas de GeoGebra 4 para trabajar la diversidad ... |
Presentation
4-semirredes asociadas a cuadros latinos parciales regularmente auto-ortogonales
(2012)
El presente artículo se centra en la enumeración y clasificación de 4- semirredes asociadas al conjunto Sn,s de cuadrados ... |
| Presentation |
| Presentation |
Presentation
AleatorioEntre[m,M]
(2012)
Uno de los comandos más versátiles a la hora de trabajar y elaborar material didáctico con GeoGebra es AleatorioEntre[m,M]. ... |
Presentation
Introducción a GeoGebra Prim
(2012)
GeoGebra es una herramienta informática destinada a la enseñanza y aprendizaje de Matemáticas de una forma interactiva en ... |
Article
Modelado paramétrico de edificios en el aula de Matemáticas
(UCOPress. Editorial Universidad de Córdoba, 2012)
El estudio analítico de curvas y superficies adquiere una importancia significativa en estudios universitarios asociados ... |
Article
Cycle structures of autotopisms of the Latin squares of order up to 11
(2012)
The cycle structure of a Latin square autotopism Θ = (α, β, γ) is the triple (lα, lβ, lγ), where lδ is the cycle structure ... |
Article
Modelado paramétrico de edificios en el aula de matemáticas
(Universidad de Córdoba, 2012)
El estudio analítico de curvas y superficies adquiere una importancia significativa en estudios universitarios asociados ... |
Article
El ordenador portátil como herramienta de apoyo en el aprendizaje activo de matemática aplicada a la edificación
(Universidad de Sevilla, 2012)
La integración en el proceso de enseñanza-aprendizaje de herramientas informáticas que requieren una participación activa ... |
Presentation
Clasificación de cuadros latinos parciales de orden menor o igual a 4
(2011)
El número de cuadrados latinos parciales relacionados con un autotopismo dado es conocido para orden menor o igual a 4. ... |
Article
Integration of a CAS/DGS as a CAD system in the mathematics curriculum for architecture students
(Taylor & Francis, 2011)
Students of Architecture and Building Engineering Degrees work withComputer Aided Design systems daily in order to design ... |
Presentation
Las raíces bohemias de Bolzano
(2011)
Las distintas herramientas que ofrece GeoGebra pueden ser aprovechadas a la hora de abordar de una forma visual y dinámica ... |
Presentation
Aplicaciones de GeoGebra al Análisis
(2011)
En el presente trabajo se elaboran actividades con GeoGebra para utilizarlas en el aula de Matemáticas en el Bloque de ... |
Article
Presentación y resolución de problemas mediante Geogebra
(Federación Iberoamericana de Educación Matemática (FISEM), 2011)
GeoGebra es un software de Matemáticas, diseñado para enseñar y aprender, que ofrece herramientas para la resolución ... |
Article
The set of autotopisms of partial Latin squares
(2011)
Symmetries of a partial Latin square are primarily determined by its autotopism group. Analogously to the case of Latin ... |
| Presentation |
Presentation
Elaboración de una presentación interactiva de diapositivas con GeoGebra
(2010)
Si bien GeoGebra es un software de Geometría Dinámica que dispone de herramientas como la “Barra de navegación por pasos” ... |
Article
Análisis de algunas WebQuest dedicadas a la Historia de las Matemáticas
(Sociedad Canaria Isaac Newton de Profesores de Matemáticas, 2010)
Este artículo trata el concepto y la utilización de las WebQuest por parte del profesorado de Matemáticas en los diferentes ... |
Presentation
Modelado dinámico en 3D: Construcciones arquitectónicas
(2010)
En la presente comunicación se muestran ejemplos de reconstrucción y modelado 3D de diversas construcciones arquitectónicas ... |
Article
¿Es posible geogebrizar una olimpiada matemática?
(Sociedad Andaluza de Educación Matemática Thales, 2010)
En la presente comunicación se pretende abordar la resolución dinámica de algunos de los problemas geométricos que han ... |
Presentation
3D-Dynamical geometry in building construction
(2010)
In Architecture and Technical Architecture Degrees, students use CAD tools (ComputerAided Design) which are not capable, ... |
Article
Aprendizaje autónomo en Matemáticas Aplicadas a la Edificación: Simbiosis entre WebCT y software matemático
(Sociedad Canaria Isaac Newton de Profesores de Matemáticas, 2010)
En el presente artículo analizamos el proceso de adaptación a enseñanza virtual de las asignaturas del área de Matemática ... |
| Presentation |
| Article |
Article
Estudio sobre un problema de la XXIV Olimpiada Matemática Thales
(Sociedad Andaluza de Educación Matemática Thales, 2009)
En el presente artículo nos proponemos analizar uno de los problemas propuestos al alumnado de 2º de E.S.O. que participó ... |
Article
Las WebQuest como herramienta de apoyo para el profesor de Matemáticas de Secundaria y Bachillerato
(Real Sociedad Matemática Española, 2009)
En este artículo se presenta una visión global de lo que se entiende por WebQuest (WQ en lo sucesivo) y se muestra su ... |
Chapter of Book
Periodos asociados a los isotopismos de un cuadrado latino
(Instituto Superior de Engenharia da Universidade do Algarve, 2009)
En Criptografía, la eficacia de un generador de secuencias pseudo-aleatorias viene determinada por el periodo de crecimiento ... |
Presentation
Gymkhana geométrica en el parque de María Luisa
(2008)
El presente taller muestra las posibilidades geométricas que ofrece nuestro entorno inmediato para el desarrollo de ... |
Presentation
Structural patterns of autotopisms of maximum rank quasigroups
(2008)
In this paper, some properties of the set Qn of those quasigroups of n elements having maximum rank n are studied. Although ... |
Presentation
El papel de las webquest en las NTIC
(2008)
La ponencia que aquí se presenta persigue un triple objetivo. Por una parte, mostrarle al lector en general, y al profesorado ... |
Presentation
Determinants of latin squares of a given pattern
(2008)
Cycle structures of autotopisms of Latin squares determine all possible patterns of this kind of design. Moreover, given ... |
Presentation
New advances in the study of Gröbner bases and the number of latin squares related to autotopisms
(2008)
Gröbner bases has been used in [4] to describe an algorithm that allows one to obtain the number of Latin squares of order ... |
Presentation
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 ... |
Presentation
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 ... |
Presentation
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 ... |
Presentation
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 ... |
Presentation
Aventura matemática: Búsqueda del tesoro en Isla Mágica
(2007)
Durante la fase regional de la XXII Olimpiada Matemática Thales, se realizaron tres pruebas por equipos, aparte de la ... |
Article
Study of critical sets in latin squares by using the autotopism group
(Elsevier, 2007)
Given a Latin square L and a subset F of its autotopism group U(L), we study in this paper some properties and results ... |
Presentation
Cuadrados latinos y códigos secretos: actividades con las que interactuar en el aula de matemáticas
(2007)
El “fenómeno Sudoku”, iniciado en España en el año 2005, ha alcanzado un éxito destacable. Tratándose de un juego en el ... |
Presentation
Santilli's autotopism of associative partial quasigroups
(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. |
Article
Gröbner bases and the number of Latin squares related to autotopisms of order ≤7
(Elsevier, 2007)
Latin squares can be seen as multiplication tables of quasigroups, which are, in general, noncommutativeand non-associative ... |
Presentation
Graphs related to principal autotopisms of Latin squares
(2006)
Latin squares of order nare equivalent to 1-factorizations of Kn,n. In this way, fixed a principal isotopism Θ=(α,β,ε)∈S3n, ... |
Presentation
Latin squares associated to principal autotopisms of long cycles. Application in Cryptography
(2006)
Fixed a principal isotopism $\Theta=(\alpha,\beta,\epsilon)\in S_n^3$, where $S_n$ is the symmetric group of the set ... |
Presentation
Decomposition of principal autotopisms into triples of a Latin square
(2006)
Triples of a Latin square L and isotopisms of its autotopism group U (L) can be used to get a secret sharing scheme in ... |
Presentation
Critical and forcing sets related to the autotopism group of a Latin square
(2006)
In Cryptography, critical sets of any Latin square L can be used to get the access structure of a secret sharing scheme ... |
Article
A particular case of extended isotopisms: Santilli's isotopisms
(Hadronic Press, 2006)
Due to a mathematical necessity, it has been proved that it is convenient to give a new interpretation of the multiplicity ... |
Presentation
Θ-critical sets of Latin squares having Θ as a principal autotopism
(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 ... |
Article
The General Set in the MCIM isotopic model
(Springer, 2005)
To obtain a bigger number of mathematical and physical applications of the Santilli's isotheory, the last studies have ... |
Article
Isorings and related isostructures
(Zanichetti, 2005)
Lo scopo principale di questo articolo è dare una fondazione matematica, seria e costante a delle parti dell’isoteoria di ... |
Article
The general set in the MCIM Isotopic Model
(Springer Verlag, 2005)
To obtain a bigger number of mathematical and physical applications of the Santilli’s isotheory, the latest studies have ... |
Article
Recent advances on Tsagas-Sourlas-Santilli isotopology
(Kyungnam University Press, 2005)
Because the Lie Theory solely applies to linear systems, in 1978 Santilli proposed the isotopic lifting of Lie’s theory ... |
Presentation
Una mascota en clase de Matemáticas
(2005)
Lo que se pretende en la presente comunicación es hacer entender que disponer de una mascota en una clase de Matemáticas ... |
Article
Extension of Santilli's isotopies to non-injective isoalgebras
(Kyungnam University Press, 2005)
Santilli's isotopies constitute a new branch of mathematics characterized by axiom-preserving isotopic lifting of units, ... |
Presentation
Basic concepts on Lorentz simmetry and Minkowsky isogeometry by using the MCIM isotopic model
(2004)
At 1978, R.M. Santilli proposed to generalize the conventional Lie theory by using isotopies. To do it, he considered that ... |
| Presentation |
Presentation
Conceptos básicos sobre isocriptografía siguiendo el modelo MCIM
(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 ... |
Presentation
Álgebras admisibles e isoálgebras de Lie-Santilli (aplicación en mecánica clásica y cuántica)
(2004)
La teoría de admisibilidad en álgebras, introducida por Albert en 1948, ha resultado tener aplicación en diversos campos ... |
| PhD Thesis |
Presentation
Los isonúmeros o el porqué de ser 2 x 3 = 5/√7
(2003)
Uno de los aspectos en los que se basa la enseñanza de las Matemáticas es el manejo del elemento unidad. En este sentido, ... |
Article
Isogroups and isosubgroups
(Real Academia de Ciencias Exactas, Físicas y Naturales, 2003)
The main goal of this paper is to give a mathematical foundation, serious and consistent, to some parts of Santilli’s ... |
Article
Estudio de la Isotopología de Tsagas-Sourlas-Santilli
(Hadronic Press, 2003)
Since his original proposal of 1978 to study Lie-isotopic and Lie-admissible liftings of conventional, local-differential ... |