25 citations · 47 across the 7 of their papers we have counts for
7 papers
Algebraic computation of genetic patterns related to three-dimensional evolution algebras
Óscar J. Falcón, Raúl M. Falcón, Juan Núñez
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…
A computational algebraic geometry approach to classify partial Latin rectangles
Raúl M. Falcón
This paper provides an in-depth analysis of how computational algebraic geometry can be used to deal with the problem of counting and classifying partial Latin rectangl…
Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field
O. J. Falcón, R. M. Falcón, J. Nuñez
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…
Computation of isotopisms of algebras over finite fields by means of graph invariants
O. J. Falcón, R. M. Falcón, J. Núñez +2
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…
Isomorphism and isotopism classes of filiform Lie algebras of dimension up to seven
O. J. Falcón, R. M. Falcón, J. Núñez
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. Neverthele…
Minimal Faithful Upper-Triangular Matrix Representations for Solvable Lie Algebras
Manuel Ceballos, Juan Núñez, Ángel F. Tenorio
A well-known result on Lie Theory states that every finite-dimensional complex solvable Lie algebra can be represented as a matrix Lie algebra, with upper-triangular square matrice…
Certain particular families of graphicable algebras
Juan Núñez, María Luisa Rodríguez-Arévalo, María Trinidad Villar
In this paper, we introduce some particular families of graphicable algebras obtained by following a relatively new line of research, initiated previously by some of the authors. I…