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