1 citations · 1 across the 5 of their papers we have counts for
5 papers
Hopf algebras and associative representations of two-dimensional evolution algebras
Yolanda Cabrera Casado, María Inez Cardoso Gonçalves, Daniel Gonçalves +3
In this paper, we establish a connection between evolution algebras of dimension two and Hopf algebras, via the algebraic group of automorphisms of an evolution algebra. Initially,…
Centroid and algebraic properties of evolution algebras through graphs
Yolanda Cabrera Casado, Maria Inez Cardoso Gonçalves, Daniel Gonçalves +3
The leitmotiv of this paper is linking algebraic properties of an evolution algebra with combinatorial properties of the (possibly several) graphs that one can associate to the alg…
The algebraic entropies of the Leavitt path algebra and the graph algebras agree
Wolfgang Bock, Cristóbal Gil Canto, Dolores Martín Barquero +3
In this note we prove that the algebras and have the same entropy. Entropy is always referred to the standard filtrations in the corresponding kind of algebra. The ma…
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…