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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 ...
Ponencia
Classifications of evolution algebras over finite fields
(2016-01)
In this communication we deal with a class of emerging algebras called evolution algebras. These algebras were firstly introduced by J. P. Tian, and then jointly presented with Vojtechovsky in 2006 [6], and later appeared ...
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 ...