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Ponencia
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
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 Hamiltonian formulations of point particles, the physicist R. M. Santilli suggested the contribution ...
Artículo
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
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 ...
Artículo
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, products, numbers, fields, topologies, geometries, algebras, groups, etc., with numerous novel ...
Ponencia
Graphs related to principal autotopisms of Latin squares
(2006-07)
Latin squares of order nare equivalent to 1-factorizations of Kn,n. In this way, fixed a principal isotopism Θ=(α,β,ε)∈S3n, where Sn is the symmetric group of the set N={0,1, ..., n−1}, we are going to study in this paper ...
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 ...
Tesis Doctoral