English

Classical properties of algebras using a new graph association

Combinatorics 2017-06-05 v1 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.1706.00482,
  title  = {Classical properties of algebras using a new graph association},
  author = {R. M. Aquino and L. M. Camacho and E. M. Cañete and C. Cavalgante and A. Márquez},
  journal= {arXiv preprint arXiv:1706.00482},
  year   = {2017}
}
R2 v1 2026-06-22T20:06:54.968Z