Regular evolution algebras are closed under subalgebras
Year: 2025
Type: article
Abstract: 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.
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.804
Authors: Manuel Ladra, Andrés Pérez-Rodríguez
Institution: Universidade de Santiago de Compostela
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416825079