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math.RA2022★ 1 cited
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…
math.RA2022
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…