RT Journal Article
T1 Reductive radical of evolution algebras
A1 Cabrera-Casado, Yolanda
A1 Martín-Barquero, Dolores
A1 Martín-González, Cándido
A1 Tocino-Sánchez, Alicia
K1 Algebra multilineal
K1 Algebras asociativas
K1 Algebras asociativas
AB t. We consider M(A), the intersection of all maximal ideals of anevolution algebra A and study the structure of the quotient A/ M(A), whichturns out to be a reductive algebra. By using subdirect products we statestructure theorems for arbitrary evolution algebras (arbitrary dimension andground field), one of them in terms of Grassmannians. Specializing in theperfect finite-dimensional case, we obtain a direct sum decomposition insteadof a subdirect product and, furthermore, the uniqueness of this decomposition.We also study some examples that exhibit a richer structure with a nonzerosemisimple part.
YR 2025
FD 2025-08-15
LK https://hdl.handle.net/10630/40030
UL https://hdl.handle.net/10630/40030
LA eng
NO https://openpolicyfinder.jisc.ac.uk/id/publication/36174
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 4 mar 2026