2 citations · 5 across the 8 of their papers we have counts for
10 papers
Solenoids in automorphism groups of evolution algebras
Yolanda Cabrera Casado, Maria Inez Cardoso Gonçalves, Daniel Gonçalves +3
Let A be an evolution algebra (possibly infinite-dimensional) equipped with a fixed natural basis B, and let E be the associated graph defined by Elduque and Labra. We describe the…
On some structural properties of evolution algebras
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
We consider the intersection of all maximal ideals of an evolution algebra and study the structure of the quotient $A/\M(A)$. In a previous work, maximal idea…
Connecting ideals in evolution algebras with hereditary subsets of its associated graph
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
In this article, we introduce a relation including ideals of an evolution algebra and hereditary subsets of vertices of its associated graph and establish some properties among the…
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
This work classifies three-dimensional simple evolution algebras over arbitrary fields. For this purpose, we use tools such as the associated directed graph, the moduli set, induct…
Two dimensional perfect evolution algebras over domains
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González
We will study evolution algebras which are free modules of dimension over domains. Furthermore, we will assume that these algebras are perfect, that is . We start by…
Simultaneous orthogonalization of inner products over arbitrary fields
Yolanda Cabrera Casado, Cristóbal Gil Canto, Dolores Martín Barquero +1
We give necessary and sufficient conditions for a family of inner products in a finite-dimensional vector space over an arbitrary field to have an orthogonal basis…
Natural families in evolution algebras
Nadia Boudi, Yolanda Cabrera Casado, Mercedes Siles Molina
In this paper we introduce the notion of evolution rank and give a decomposition of an evolution algebra into its annihilator plus extending evolution subspaces having evolution ra…
Classification of four dimensional perfect non-simple evolution algebras
Yolanda Cabrera Casado, Muge Kanuni, Mercedes Siles Molina
We classify the four dimensional perfect non-simple evolution algebras over a field having characteristic different from 2 and in which there are roots of orders 2, 3 and 7.
Description of three-dimensional evolution algebras
Yolanda Cabrera Casado, Mercedes Siles Molina, M. Victoria Velasco
We classify three dimensional evolution algebras over a field having characteristic different from 2 and in which there are roots of orders 2, 3 and 7.
Evolution algebras of arbitrary dimension and their decompositions
Yolanda Cabrera Casado, Mercedes Siles Molina, M. Victoria Velasco
We study evolution algebras of arbitrary dimension. We analyze in deep the notions of evolution subalgebras, ideals and non-degeneracy and describe the ideals generated by one elem…