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Mostrando ítems 1-8 de 8
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.
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 ...
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
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 ...