RT Journal Article
T1 On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras.
A1 Cabrera-Casado, Yolanda
A1 Martín-Barquero, Dolores
A1 Martín-González, Cándido
A1 Tocino-Sánchez, Alicia
K1 Álgebra
AB 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 dimension of the diagonal subspace. Explicitly, in the three-dimensional case, we construct some models iIIIp,qλ1,…,λn of such algebras with 1≤i≤4, λi∈K×, p,q∈N, such that any algebra is isomorphic to one (and only one) of the given in the models and we further investigate the isomorphic question within each one. Moreover, we show how to construct simple evolution algebras of higher-order from known simple evolution algebras of smaller size.
PB Taylor & Francis
YR 2024
FD 2024-05-13
LK https://hdl.handle.net/10630/34117
UL https://hdl.handle.net/10630/34117
LA eng
NO Casado, Y. C., Barquero, D. M., González, C. M., & Tocino, A. (2024). On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras. Linear and Multilinear Algebra, 1–18. https://doi.org/10.1080/03081087.2024.2352452
NO https://v2.sherpa.ac.uk/id/publication/5818
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 22 ene 2026