RT Journal Article
T1 Connecting ideals in evolution algebras with hereditary subsets  of its associated graph
A1 Cabrera-Casado, Yolanda
A1 Martín-Barquero, Dolores
A1 Martín-González, Cándido
A1 Tocino-Sánchez, Alicia
K1 Algebra
K1 Galois, Teoría de
K1 Grupos, Teoría de
K1 Matemáticas aplicadas
AB 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 ideals and ideals having the absorption property of an evolution alge-bra in terms of its associated graph. We also define a couple of order-preservingmaps, one from the sets of ideals of an evolution algebra to that of hereditarysubsets of the corresponding graph, and the other in the reverse direction.Conveniently restricted to the set of absorption ideals and to the set of heredi-tary saturated subsets, this is a monotone Galois connection. According to thegraph, we characterize arbitrary dimensional finitely-generated (as algebras)evolution algebras under certain restrictions of its graph. Furthermore, thesimplicity of finitely-generated perfect evolution algebras is described on thebasis of the simplicity of the graph.
YR 2023
FD 2023
LK https://hdl.handle.net/10630/30794
UL https://hdl.handle.net/10630/30794
LA eng
NO Casado, Y.C., Barquero, D.M., González, C.M. et al. Connecting ideals in evolution algebras with hereditary subsets of its associated graph. Collect. Math. (2024). https://doi.org/10.1007/s13348-024-00435-x
NO Funding for open access charge: Universidad de Málaga / CBUA.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026