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Artículo
Classical properties of algebras using a new graph association
(Cornell University, 2017)
We study the relation between algebraic structures and Graph Theory. We have de ned ve di erent weighted digraphs associated to a nite dimensional algebra over a eld in order to tackle important properties of the ...
Artículo
Leibniz algebras with associated Lie algebras sl_2\dot{+} R (dim R=2)
(Cornell University, 2011)
From the theory of finite dimensional Lie algebras it is known that every finite dimensional Lie algebra is decomposed into a semidirect sum of semisimple subalgebra and solvable radical. Moreover, due to work of ...
Artículo
Solvable Leibniz Algebras with Filiform Nilradical
(Springer, 2016)
In this paper we continue the description of solvable Leibniz algebras whose nilradical is a filiform algebra. In fact, solvable Leibniz algebras whose nilradical is a naturally graded filiform Leibniz algebra are described ...
Artículo
Solvable Leibniz algebras with NFn⊕ F1m nilradical
(De Gruyter, 2017)
All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ F1m as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described. NFn and F1m are the null-filiform and naturally graded ...