1 citations · 2 across the 12 of their papers we have counts for
4 papers · 2 filters
Algebraic entropy and a complete classification of path algebras over finite graphs by growth
Wolfgang Bock, Cristóbal Gil Canto, Dolores Martín Barquero +3
The Gelfand-Kirillov dimension is a well established quantity to classify the growth of infinite dimensional algebras. In this article we introduce the algebraic entropy for path a…
Central extensions of axial algebras
Ivan Kaygorodov, Cándido Martín González, Pilar Páez-Guillán
In this article, we develop a further adaptation of the method of Skjelbred-Sund to construct central extensions of axial algebras. We use our method to prove that all axial centra…
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…