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Mostrando ítems 11-20 de 34
Artículo
A historical perspective of the theory of isotopisms
(MDPI, 2018-08-03)
In the middle of the twentieth century, Albert and Bruck introduced the theory of isotopisms of non-associative algebras and quasigroups as a generalization of the classical theory of isomorphisms in order to study and ...
Artículo
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 of Santilli's isounity Ib = Ib(x, v, t, µ, ρ, ...) of any Santilli's isotopism, as a family of ...
Artículo
Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field
(Elsevier, 2017-02-15)
Evolution algebras were introduced into Genetics to deal with the mechanism of inheritance of asexual organisms. Their distribution into isotopism classes is uniquely related with the mutation of alleles in nonMendelian ...
Artículo
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 provide a fundamental basis to the isotheory of Santilli. Since that first attempt, distinct studies on ...
Ponencia
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 la criptografía. Generalizando la unidad utilizada en los criptogramas se originan una nueva clase ...
Artículo
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 isotheory. We study the isotopic liftings of groups and subgroups and we also deal with the differences ...
Ponencia
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, 2017-07)
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, ...
Ponencia
Mutation graphs of asexual diploid organisms
(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 ...
Artículo
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 Lie algebras of basis {e1,…,en}{e1,…,en} and nonzero brackets [ei,en]∈⟨e1,…,en−1⟩[ei,en]∈⟨e1,…,en−1⟩ ...