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Artículo
Algebraic computation of genetic patterns related to three-dimensional evolution algebras
(Elsevier, 2018-02-15)
The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any isotopism of the latter corresponds to a mutation of genotypes of the former. This paper uses Computational ...
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 ...
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⟩ ...
Artículo
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
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
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 ...