2 citations · 4 across the 5 of their papers we have counts for
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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…
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.