The derivations of some evolution algebras

In this work we investigate the derivations of n−dimensional complex evolution algebras, depending on the rank of the appropriate matrices. For evolution algebra with non-singular matrices we prove that the space of derivations is zero. The spaces of derivations for evolution algebras with matrices...

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Detalhes bibliográficos
Autores: Camacho Santana, Luisa María, Gómez Martín, José Ramón, Omirov, Bakhrom Abdazovich, Turdibaev, R. M.
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2013
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/90256
Acesso em linha:https://hdl.handle.net/11441/90256
https://doi.org/10.1080/03081087.2012.678342
Access Level:acceso abierto
Palavra-chave:Evolution algebra
Rank of matrix
Derivation
Descrição
Resumo:In this work we investigate the derivations of n−dimensional complex evolution algebras, depending on the rank of the appropriate matrices. For evolution algebra with non-singular matrices we prove that the space of derivations is zero. The spaces of derivations for evolution algebras with matrices of rank n−1 are described.