RT Journal Article
T1 Regular evolution algebras are closed under subalgebras
A1 Ladra González, Manuel
A1 Pérez Rodríguez, Andrés
K1 Evolution algebras
K1 Regular evolution algebras
K1 Subalgebras
AB The main goal of this note is to show that subalgebras of regular evolution algebras are themselves evolution algebras. This allows us to assume, without loss of generality, that every subalgebra in the regular setting has a basis consisting of vectors with disjoint supports. Finally, we use this result to characterise the existence of codimension-one subalgebras in regular evolution algebras.
PB Académie des Sciences
YR 2025
FD 2025-11-28
LK https://hdl.handle.net/10347/47155
UL https://hdl.handle.net/10347/47155
LA eng
NO Ladra, M., & Pérez-Rodríguez, A. (2025) Regular evolution algebras areclosed undersubalgebras, Comptes Rendus Mathématique, 363, 1461-1465. http://creativecommons.org/licenses/by/4.0/
NO This work was partially supported by Agencia Estatal de Investigación (Spain), grants PID2020-115155GB-I00 and PID2024-155502NB-I00 (European FEDER support included , UE) and by Xunta de Galicia through the Competitive Reference Groups (GRC), ED431C 2023/31. The second author was also supported by FPU21/05685 scholarship, Ministerio de Educación y Formación Profesional (Spain).
DS Minerva
RD 19 may 2026