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Mostrando ítems 11-19 de 19
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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
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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⟩ ...
Artículo
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Análisis de algunas WebQuest dedicadas a la Historia de las Matemáticas
(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 niveles educativos, haciendo énfasis tanto en Educación Secundaria Obligatoria como en Bachillerato. ...
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Classifications of evolution algebras over finite fields
(2016-01)
In this communication we deal with a class of emerging algebras called evolution algebras. These algebras were firstly introduced by J. P. Tian, and then jointly presented with Vojtechovsky in 2006 [6], and later appeared ...
Ponencia
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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 algebras over the finite field Fp, with p prime. This distribution is explicitly determined for dimension ...
Artículo
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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 the evolution algebra describing the genetic pattern of the inheritance process. We identify any ...
Artículo
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Computation of isotopisms of algebras over finite fields by means of graph invariants
(Elsevier, 2017-07)
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over finite fields to isomorphic graphs. These functors reduce the cost of computation that is usually ...
Artículo
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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 been developed for distinct types of algebras. Nevertheless, there barely exists any result on the ...
Ponencia
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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 algorithm that identifies isomorphisms of Latin squares with isomorphism of vertex-colored graphs, we ...