4 papers
A Frattini theory for evolution algebras
Manuel Ladra, Andrés Pérez-RodrÃguez
This paper develops a Frattini theory for evolution algebras defining the Frattini subalgebra as the intersection of all maximal subalgebras, and the Frattini ideal as the largest…
Regular evolution algebras are closed under subalgebras
Manuel Ladra, Andrés Pérez-RodrÃguez
The main goal of this note is to show that subalgebras of regular evolution algebras are themselves evolution algebras. This allows us to assume, without loss of generality, that e…
Gonosomal algebras and operators associated to genetic systems with a single male genotype
Yolanda Cabrera Casado, Manuel Ladra, Andrés Pérez-RodrÃguez
This article is devoted to studying gonosomal algebras and operators with a single male genotype. We compute the limit points of the trajectories of the corresponding normalised go…
On the subalgebra lattice of solvable evolution algebras
Manuel Ladra, Pilar Páez-Guillán, Andrés Pérez-RodrÃguez
The main objective of this paper is to study the relationship between a solvable evolution algebra and its subalgebra lattice, emphasizing two of its main properties: distributivit…