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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
3-filiform Leibniz algebras of maximum length
(Springer, 2016)
This work completes the study of the solvable Leibniz algebras, more precisely, it completes the classi cation of the 3- liform Leibniz algebras of maximum length [4]. Moreover, due to the good structure of the algebras ...
Artículo
Some properties of evolution algebras
(Korea Institute of Science and Technology Information, 2013)
The paper is devoted to the study of finite dimensional complex evolu- tion algebras. The class of evolution algebras isomorphic to evolution algebras with Jordan form matrices is described. For finite dimensional complex ...
Artículo
Naturally graded Zinbiel algebras with nilindex n - 3
(Elsevier, 2014)
We present the classification of a subclass of n-dimensional naturally graded Zinbiel algebras. This subclass has the nilindex n − 3 and the characteristic sequence (n − 3, 2, 1). In fact, this result completes the ...
Artículo
p-Filiform Zinbiel algebras
(Elsevier, 2013)
The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded p-filiform Zinbiel algebras. A Zinbiel algebra is the dual to Leibniz algebra in Koszul sense. We prove ...
Artículo
p-Filiform Leibniz algebras of maximum length
(Elsevier, 2014)
The descriptions (up to isomorphism) of naturally graded p-filiform Leibniz algebras and p-filiform (p 3) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for p-filiform ...
Artículo
On the property of subalgebras of evolution algebras
(Springer, 2019)
In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be ...