A Characterization of Associative Evolution Algebras

Evolution algebras are non-associative in general, that is, the binary multiplication law is not associative. However, there exist some of them that are associative. In this paper we deal with these last ones. We give an explicit classification of these algebras and show that the concept of associat...

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Detalles Bibliográficos
Autores: Fernández Ternero, Desamparados, Gómez Sousa, Víctor Manuel, Núñez Valdés, Juan
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/167699
Acceso en línea:https://hdl.handle.net/11441/167699
https://doi.org/10.37256/cm.4120232167
Access Level:acceso abierto
Palabra clave:Evolution algebras
Associative algebras
Classification
Derivations
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spelling A Characterization of Associative Evolution AlgebrasFernández Ternero, DesamparadosGómez Sousa, Víctor ManuelNúñez Valdés, JuanEvolution algebrasAssociative algebrasClassificationDerivationsEvolution algebras are non-associative in general, that is, the binary multiplication law is not associative. However, there exist some of them that are associative. In this paper we deal with these last ones. We give an explicit classification of these algebras and show that the concept of associativity is equivalent to the existence of an unitary element for non-degenerate evolution algebras. We also explicitly describe the derivation space of these algebras.Universal WiserGeometría y TopologíaFQM326: Geometria Diferencial y Teoria de Lie2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/167699https://doi.org/10.37256/cm.4120232167reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésContemporary mathematics, 4 (1), 42-48.https://doi.org/10.37256/cm.4120232167info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1676992026-06-17T12:51:07Z
dc.title.none.fl_str_mv A Characterization of Associative Evolution Algebras
title A Characterization of Associative Evolution Algebras
spellingShingle A Characterization of Associative Evolution Algebras
Fernández Ternero, Desamparados
Evolution algebras
Associative algebras
Classification
Derivations
title_short A Characterization of Associative Evolution Algebras
title_full A Characterization of Associative Evolution Algebras
title_fullStr A Characterization of Associative Evolution Algebras
title_full_unstemmed A Characterization of Associative Evolution Algebras
title_sort A Characterization of Associative Evolution Algebras
dc.creator.none.fl_str_mv Fernández Ternero, Desamparados
Gómez Sousa, Víctor Manuel
Núñez Valdés, Juan
author Fernández Ternero, Desamparados
author_facet Fernández Ternero, Desamparados
Gómez Sousa, Víctor Manuel
Núñez Valdés, Juan
author_role author
author2 Gómez Sousa, Víctor Manuel
Núñez Valdés, Juan
author2_role author
author
dc.contributor.none.fl_str_mv Geometría y Topología
FQM326: Geometria Diferencial y Teoria de Lie
dc.subject.none.fl_str_mv Evolution algebras
Associative algebras
Classification
Derivations
topic Evolution algebras
Associative algebras
Classification
Derivations
description Evolution algebras are non-associative in general, that is, the binary multiplication law is not associative. However, there exist some of them that are associative. In this paper we deal with these last ones. We give an explicit classification of these algebras and show that the concept of associativity is equivalent to the existence of an unitary element for non-degenerate evolution algebras. We also explicitly describe the derivation space of these algebras.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/167699
https://doi.org/10.37256/cm.4120232167
url https://hdl.handle.net/11441/167699
https://doi.org/10.37256/cm.4120232167
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Contemporary mathematics, 4 (1), 42-48.
https://doi.org/10.37256/cm.4120232167
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universal Wiser
publisher.none.fl_str_mv Universal Wiser
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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