RT Journal Article
T1 Basic ideals in evolution algebras
A1 Cabrera-Casado, Yolanda
A1 Siles-Molina, Mercedes
A1 Kanuni, Müge
K1 Algebras genéticas
AB 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 ideal I which is unique except when the dimension of I is n-1. An application of our results leads to the description of the four dimensional perfect non-simple evolution algebras over a field with mild restrictions.
PB Elsevier
YR 2019
FD 2019
LK https://hdl.handle.net/10630/33814
UL https://hdl.handle.net/10630/33814
LA eng
NO Yolanda Cabrera Casado, Müge Kanuni, Mercedes Siles Molina, Basic ideals in evolution algebras, Linear Algebra and its Applications, Volume 570, 2019, Pages 148-180, ISSN 0024-3795, https://doi.org/10.1016/j.laa.2019.01.010
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026