Characterization theorems for the spaces of derivations of evolution algebras associated to graphs
ABSTRACT: It is well-known that the space of derivations of n-dimensional evolution algebras with non-singular matrices is zero. On the other hand, the space of derivations of evolution algebras with matrices of rank n−1 have also been completely described in the literature. In this work, we provide...
- Autores:
-
Rodiño Montoya, Mary Luz
Cadavid Salazar, Paula Andrea
Rodríguez, Pablo Martín
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2020
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/37286
- Acceso en línea:
- https://hdl.handle.net/10495/37286
- Palabra clave:
- Ecuaciones de evolución
Evolution equations
Teoría de grafos
Graph theory
Álgebra
Algebra
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/2.5/co/
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Characterization theorems for the spaces of derivations of evolution algebras associated to graphs |
| title |
Characterization theorems for the spaces of derivations of evolution algebras associated to graphs |
| spellingShingle |
Characterization theorems for the spaces of derivations of evolution algebras associated to graphs Ecuaciones de evolución Evolution equations Teoría de grafos Graph theory Álgebra Algebra |
| title_short |
Characterization theorems for the spaces of derivations of evolution algebras associated to graphs |
| title_full |
Characterization theorems for the spaces of derivations of evolution algebras associated to graphs |
| title_fullStr |
Characterization theorems for the spaces of derivations of evolution algebras associated to graphs |
| title_full_unstemmed |
Characterization theorems for the spaces of derivations of evolution algebras associated to graphs |
| title_sort |
Characterization theorems for the spaces of derivations of evolution algebras associated to graphs |
| dc.creator.fl_str_mv |
Rodiño Montoya, Mary Luz Cadavid Salazar, Paula Andrea Rodríguez, Pablo Martín |
| dc.contributor.author.none.fl_str_mv |
Rodiño Montoya, Mary Luz Cadavid Salazar, Paula Andrea Rodríguez, Pablo Martín |
| dc.contributor.researchgroup.spa.fl_str_mv |
Álgebra U de A |
| dc.subject.lemb.none.fl_str_mv |
Ecuaciones de evolución Evolution equations Teoría de grafos Graph theory Álgebra Algebra |
| topic |
Ecuaciones de evolución Evolution equations Teoría de grafos Graph theory Álgebra Algebra |
| description |
ABSTRACT: It is well-known that the space of derivations of n-dimensional evolution algebras with non-singular matrices is zero. On the other hand, the space of derivations of evolution algebras with matrices of rank n−1 have also been completely described in the literature. In this work, we provide a complete description of the space of derivations of evolution algebras associated to graphs, depending on the twin partition of the graph. For graphs without twin classes with at least three elements, we prove that the space of derivations of the associated evolution algebra is zero. Moreover, we describe the spaces of derivations for evolution algebras associated to the remaining families of finite graphs. It is worth pointing out that our analysis includes examples of finite dimensional evolution algebras with matrices of any rank. |
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2020 |
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2020 |
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2023-11-13T01:12:07Z |
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Paula Cadavid, Mary Luz Rodiño Montoya & Pablo M. Rodriguez (2020) Characterization theorems for the spaces of derivations of evolution algebras associated to graphs, Linear and Multilinear Algebra, 68:7, 1340-1354, DOI: 10.1080/03081087.2018.1541962 |
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0308-1087 |
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https://hdl.handle.net/10495/37286 |
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10.1080/03081087.2018.1541962 |
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1563-5139 |
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Paula Cadavid, Mary Luz Rodiño Montoya & Pablo M. Rodriguez (2020) Characterization theorems for the spaces of derivations of evolution algebras associated to graphs, Linear and Multilinear Algebra, 68:7, 1340-1354, DOI: 10.1080/03081087.2018.1541962 0308-1087 10.1080/03081087.2018.1541962 1563-5139 |
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eng |
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eng |
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Linear Multilinear Algebra |
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1354 |
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7 |
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1341 |
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68 |
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Linear and Multilinear Algebra |
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Taylor & Francis |
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Rodiño Montoya, Mary LuzCadavid Salazar, Paula AndreaRodríguez, Pablo MartínÁlgebra U de A2023-11-13T01:12:07Z2023-11-13T01:12:07Z2020Paula Cadavid, Mary Luz Rodiño Montoya & Pablo M. Rodriguez (2020) Characterization theorems for the spaces of derivations of evolution algebras associated to graphs, Linear and Multilinear Algebra, 68:7, 1340-1354, DOI: 10.1080/03081087.2018.15419620308-1087https://hdl.handle.net/10495/3728610.1080/03081087.2018.15419621563-5139ABSTRACT: It is well-known that the space of derivations of n-dimensional evolution algebras with non-singular matrices is zero. On the other hand, the space of derivations of evolution algebras with matrices of rank n−1 have also been completely described in the literature. In this work, we provide a complete description of the space of derivations of evolution algebras associated to graphs, depending on the twin partition of the graph. For graphs without twin classes with at least three elements, we prove that the space of derivations of the associated evolution algebra is zero. Moreover, we describe the spaces of derivations for evolution algebras associated to the remaining families of finite graphs. It is worth pointing out that our analysis includes examples of finite dimensional evolution algebras with matrices of any rank.Universidad de AntioquiaSão Paulo Research FoundationNational Council for Scientific and Technological DevelopmentCOL008689615application/pdfengTaylor & FrancisLondres, Inglaterrahttp://creativecommons.org/licenses/by-nc-nd/2.5/co/https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Characterization theorems for the spaces of derivations of evolution algebras associated to graphsArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionEcuaciones de evoluciónEvolution equationsTeoría de grafosGraph theoryÁlgebraAlgebraLinear Multilinear Algebra13547134168Linear and Multilinear Algebra2016/11648-0, 2017/19433-5, 2017/10555-0304676/2016-0RoR:03bp5hc83RoR:02ddkpn78RoR:03swz6y49PublicationCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; 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