RT journal article
T1 Non-degenerate evolution algebras
A1 Calderón Martín, Antonio Jesús
A1 Fernández Ouaridi, Amir
A1 Kaygorodov, Ivan
A2 Matemáticas
K1 Evolution algebra
K1 Commutative algebra
K1 Algebraic classification
K1 Derivations
K1 Irreducible component
AB In this paper we introduce a new invariant for a non-degenerate evolution algebra, which consists of an ordered sequence of evolution algebras of lower dimension, belonging all of them to a specific family. We use this invariant to propose a method to classify non-degenerate evolution algebras, and we apply it up to dimension 3. We also use it to describe the derivations of some families of evolution algebras and the degenerations of the variety of evolution algebras with square not greater than 1.
PB Elsevier
SN 0022-4049
YR 2024
FD 2024
LK http://hdl.handle.net/10498/32352
UL http://hdl.handle.net/10498/32352
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026