2026-05-29T23:03:45Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/338122026-02-03T11:11:23Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Cabrera Casado, Yolanda
author
Cadavid, Paula
author
Rodiño Montoya, Mary Luz
author
Rodriguez, Pablo M.
2024-09-28T09:18:17Z
2024-09-28T09:18:17Z
2020
Cabrera Casado, Y., Cadavid, P., Rodiño Montoya, M. et al. On the characterization of the space of derivations in evolution algebras. Annali di Matematica 200, 737–755 (2021). https://doi.org/10.1007/s10231-020-01012-2
https://hdl.handle.net/10630/33812
https://doi.org/10.1007/s10231-020-01012-2
We study the space of derivations for some finite-dimensional evolution algebras, depending on the twin partition of an associated directed graph. For evolution algebras with a twin-free associated graph, we prove that the space of derivations is zero. For the remaining families of evolution algebras, we obtain sufficient conditions under which the study of such a space can be simplified. We accomplish this task by identifying the null entries of the respective derivation matrix. Our results suggest how strongly the associated graph’s structure impacts in the characterization of derivations for a given evolution algebra. Therefore, our approach constitutes an alternative to the recent developments in the research of this subject. As an illustration of the applicability of our results, we provide some examples and we exhibit the classification of the derivations for non-degenerate irreducible three-dimensional evolution algebras.
eng
Álgebra
On the characterization of the space of derivations in evolution algebras
journal article
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