New advances on (pseudo)digraphs and evolution algebras
In this paper, new advances concerning the link between evolution algebras and (pseudo)digraph are shown. Some important elements that can be read from the (pseudo)digraph that is associated with an evolution algebra are studied. Moreover, several results concerning solvability, nilpotency and the p...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Loyola Andalucía |
| Repositorio: | Brújula |
| OAI Identifier: | oai:repositorio.uloyola.es:20.500.12412/6871 |
| Acceso en línea: | https://hdl.handle.net/20.500.12412/6871 |
| Access Level: | acceso abierto |
| Palabra clave: | (Pseudo)Digraph Evolution algebra Derived algebra Algorithm |
| Sumario: | In this paper, new advances concerning the link between evolution algebras and (pseudo)digraph are shown. Some important elements that can be read from the (pseudo)digraph that is associated with an evolution algebra are studied. Moreover, several results concerning solvability, nilpotency and the preservation of them under the graph union operation are proved. In order to complement the theoretical study, an algorithmic method has been implemented. This is devoted to computing the nilpotency index of a nilpotent evolution algebra by using its associated digraph. |
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