Non-degenerate evolution algebras

Thumbnail
Identificadores

URI: http://hdl.handle.net/10498/32352

DOI: 10.1016/J.JPAA.2023.107594

ISSN: 0022-4049

Ficheros
Estadísticas
Métricas y Citas
 
Compartir
Exportar a
EndNoteBibTexRIS
Metadatos
Mostrar el registro completo del ítem
Autor/es
Calderón Martín, Antonio JesúsAutoridad UCA; Fernández Ouaridi, AmirAutoridad UCA; Kaygorodov, Ivan
Fecha
2024
Departamento/s
Matemáticas
Fuente
Journal of Pure and Applied Algebra - 2024, Vol. 228 n. 6 pp. 1-26
Resumen
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.
Materias
Evolution algebra; Commutative algebra; Algebraic classification; Derivations; Irreducible component
Colecciones
Attribution-NonCommercial 4.0 Internacional
Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial 4.0 Internacional