Classical properties of algebras using a new graph association
classification
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math.RA
keywords
algebrasassociatedgraphpropertiesalgebraalgebraicassociationcase
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We study the relation between algebraic structures and Graph Theory. We have defined five different weighted digraphs associated to a finite dimensional algebra over a field in order to tackle important properties of the associated algebras, mainly the nilpotency and solvability in the case of Leibniz algebras.
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