ListarMA - Artículos por tema "Simple algebra"
Mostrando ítems 1-3 de 3
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Basic ideals in evolution algebras
Cabrera-Casado, Yolanda
; Siles-Molina, Mercedes; Kanuni, Müge (Elsevier, 2019)
With the aim of finding useful tools and invariants to classify finite dimensional evolution algebras, we introduce and study the notion of a basic ideal. Every n-dimensional perfect evolution algebra has a maximal basic ... -
Connecting ideals in evolution algebras with hereditary subsets of its associated graph
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (2023)
In this article, we introduce a relation including ideals of an evo-lution algebra and hereditary subsets of vertices of its associated graph andestablish some properties among them. This relation allows us to determinemaximal ... -
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras.
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (Taylor & Francis, 2024-05-13)
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, inductive limit group, Zariski topology and the ...