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Artículo
Classification of filiform Lie algebras up to dimension 7 over finite fields
(Ovidius University, 2016)
This paper tries to develop a recent research which consists in using Discrete Mathematics as a tool in the study of the problem of the classification of Lie algebras in general, dealing in this case with filiform Lie ...
Artículo
A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields
(Wiley, 2016)
The set of Mn(K) of n-dimensional Malcev magma algebras over a finite field can be identified with algebraic sets defined by zero-dimensional radical ideals for which the computation of their reduced Gröbner bases makes ...
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
Santilli autotopisms of partial groups
(Science Publishing Group, 2015-10)
This paper deals with those partial groups that contain a given Santilli isotopism in their autotopism group. A classification of these autotopisms is explicitly determined for partial groups of order n ≤ 4.
Ponencia
Isotopisms of Lie algebras
(2015)
The distribution of algebras into equivalence classes is usually done according to the concept of isomorphism. However, such a distribution can also be done into isotopism classes. The concept of isotopism was explicitly ...
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
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
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, ...