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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 naturally graded non-Lie p-filiform nilradicals whose maximal complemented space of its nilradical
(Taylor and Francis, 2019)
The present article is a part of the study of solvable Leibniz algebras with a given nilradical. In this paper solvable Leibniz algebras, whose nilradicals is naturally graded p-filiform non- Lie Leibniz algebra (n−p ...
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 ...
Artículo
Leibniz Algebras Associated to Extensions of sl 2
(Taylor and Francis, 2015)
In this work, we investigate the structure of Leibniz algebras whose associated Lie algebra is a direct sum of sl2 and the solvable radical. In particular, we obtain the description of such algebras when: the ideal ...