Now showing items 1-8 of 8
A historical perspective of the theory of isotopisms [Article]
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 ...
Distribution of low dimensional Malcev algebras over finite fields into isomorphism and isotopism classes [Presentation]
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 ...
A historical review of the classifications of Lie algebras [Article]
(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 ...
Classification of filiform Lie algebras up to dimension 7 over finite fields [Article]
(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 ...
Santilli autotopisms of partial groups [Article]
(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.
Algebraic computation of genetic patterns related to three-dimensional evolution algebras [Article]
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 ...
Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field [Article]
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 ...
Low-dimensional filiform Lie algebras over finite fields [Presentation]
(World Scientific and Engineering Academy and Society Press, 2011)
In this paper we use some objects of Graph Theory to classify low-dimensional filiform Lie algebras over finite fields. The idea lies in the representation of each Lie algebra by a certain type of graphs. Then, some ...