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Artículo
Complex Nilpotent Leibniz Superalgebras with Nilindex Equal to Dimension
(Taylor and Francis, 2013)
We present the description up to isomorphism of Leibniz superalgebras with the characteristic sequence equal to n m1 mk and nilindex n + m, where m = m1 + · · ·+mk, and n and m (m = 0) are the dimensions ...
Artículo
Leibniz algebras of nilindex n-3 with characteristic sequence (n-3, 2, 1)
(Elsevier, 2013)
In this paper we present the classification of a subclass of naturally graded Leibniz algebras. This subclass has the nilindex n−3 and the characteristic sequence (n−3, 2, 1),wheren is the dimension of the algebra. In ...
Artículo
The derivations of some evolution algebras
(Taylor and Francis, 2013)
In this work we investigate the derivations of n−dimensional complex evolution algebras, depending on the rank of the appropriate matrices. For evolution algebra with non-singular matrices we prove that the space of ...
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
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 ...