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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
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 new quasigroup isomorphism invariant arising from fractal image patterns
(Chişinău: Institutul de Matematică şi Informatică "Vladimir Andrunachievici", 2022)
The analysis and recognition of fractal image patterns derived from Cayley tables has turned out to play a relevant role for distributing distinct types of algebraic and combinatorial structures into isomorphism classes. ...
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
Mathematica and Heisenberg Type Superalgebras
(Heldermann Verlag, 2006)
With the support of software Mathematica 4.0 we obtain important properties of Heisenberg type superalgebras, this type of superalgebras corresponds to the family of Lie superalgebras that generalize Heisenberg algebras. ...
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
A historical review of the classifications of Lie algebras
(Unión Matemática Argentina, 2013)
The problem of Lie algebras’ classification, in their different varieties, has been dealt with by theory researchers since the early 20th century. This problem has an intrinsically infinite nature since it can be inferred ...
Artículo
An in-depth analysis of data reduction methods for sustainable deep learning
(F1000 Research / European Commission, 2024)
In recent years, Deep Learning has gained popularity for its ability to solve complex classification tasks, increasingly delivering better results thanks to the development of more accurate models, the availability of huge ...