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Artículo
Residually solvable extensions of pro-nilpotent Leibniz superalgebras
(Elsevier, 2022)
Throughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones, or so-called residually solvable Leibniz ...
Artículo
Complex cyclic Leibniz superalgebras
(Springer, 2020)
Since Loday introduction of Leibniz algebras as a generalisation of Lie algebras, many results of the theory of Lie algebras have been extended to Leibniz algebras. Cyclic Leibniz algebras, which are generated by one ...
Artículo
On Leibniz Superalgebras with Even Part Corresponding to sl2
(Springer, 2021)
In this paper we describe finite-dimensional complex Leibniz superalgebras whose even part is the simple Leibniz algebra corresponding to sl2, i.e. its quotient algebra with respect to the Leibniz kernel I is isomorphic ...
Artículo
Central extensions of filiform Zinbiel algebras
(Taylor and Francis, 2020)
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of an n-dimensional null- filiform Zinbiel ...
Artículo
On Solvable Lie and Leibniz Superalgebras with maximal codimension of nilradical
(Cornell University, 2020)
Along this paper we show that under certain conditions the method for describing of solvable Lie and Leibniz algebras with maximal codimension of nilradical is also extensible to Lie and Leibniz superalgebras, respectively. ...
Artículo
Local Superderivations on Solvable Lie and Leibniz Superalgebras
(Springer, 2023-01-21)
Throughout this paper, we show on one hand, that there are nilpotent and solvable Lie superalgebras with infinitely many local superderivations which are not standard superderivations. On the other hand, we show that every ...
Artículo
On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical
(Elsevier, 2022)
Along this paper we show that under certain conditions the method for describing of solvable Lie and Leibniz algebras with maximal codimension of nilradical is also extensible to Lie and Leibniz superalgebras, respectively. ...
Artículo
On Naturally Graded Lie and Leibniz Superalgebras
(Springer, 2020)
In general, the study of gradations has always represented a cornerstone in the study of non-associative algebras. In particular, natural gradation can be considered to be the first and most relevant gradation of nilpotent ...