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arXiv · 1706.00482

Classical properties of algebras using a new graph association

R. M. Aquino·L. M. Camacho·E. M. Cañete·C. Cavalgante·A. Márquez
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Abstract

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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R. M. Aquino, L. M. Camacho, E. M. Cañete, C. Cavalgante, A. Márquez. 2017-06-01. Classical properties of algebras using a new graph association. https://arxiv.org/abs/1706.00482

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