Malcev algebras and combinatorial structures

In this work, we design an algorithmic method to associate combinatorial structures with finite-dimensional Malcev algebras. In addition to its theoretical study, we have performed the implementation of procedures to construct the digraph associated with a given Malcev algebra (if its associated com...

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Detalhes bibliográficos
Autores: Ceballos González, Manuel, Núñez Valdés, Juan, Tenorio Villalón, Ángel Francisco
Formato: artículo
Fecha de publicación:2015
País:España
Recursos:Universidad Loyola Andalucía
Repositorio:Brújula
OAI Identifier:oai:repositorio.uloyola.es:20.500.12412/1307
Acesso em linha:http://hdl.handle.net/20.500.12412/1307
Access Level:acceso abierto
Palavra-chave:Digraph
Combinatorial structure
Malcev algebra
Combinatorial operations
Algorithm
Descrição
Resumo:In this work, we design an algorithmic method to associate combinatorial structures with finite-dimensional Malcev algebras. In addition to its theoretical study, we have performed the implementation of procedures to construct the digraph associated with a given Malcev algebra (if its associated combinatorial structure is a digraph) and, conversely, a second procedure to test if a given digraph is associated with some Malcev algebra.