Now showing items 1-6 of 6
Some properties of evolution algebras [Article]
(Korea Institute of Science and Technology Information, 2013)
The paper is devoted to the study of finite dimensional complex evolu- tion algebras. The class of evolution algebras isomorphic to evolution algebras with Jordan form matrices is described. For finite dimensional complex ...
The derivations of some evolution algebras [Article]
(Taylor and Francis, 2013)
In this work we investigate the derivations of n−dimensional complex evolution algebras, depending on the rank of the appropriate matrices. For evolution algebra with non-singular matrices we prove that the space of ...
On the property of subalgebras of evolution algebras [Article]
In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be ...
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 ...
An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics [Article]
Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of the evolution algebra describing the genetic pattern of the inheritance process. We identify any ...