45 citations · 181 across the 29 of their papers we have counts for
32 papers
On naturally graded Lie and Leibniz superalgebras
Luisa Camacho, Rosa M. Navarro, J. M. Sánchez
In general, the study of gradations has always represented a cornerstone in algebra theory. In particular, \textit{naturally graded} seems to be the first and the most relevant gra…
Zinbiel superalgebras
Luisa María Camacho, Amir Fernández Ouaridi, Ivan Kaygorodov +1
Throughout the current paper, we extend the study of Zinbiel algebras to Zinbiel superalgebras. In particular, we show that all the Zinbiel superalgebras over an arbitrary field ar…
Central extensions of filiform Zinbiel algebras
Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov +1
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…
On Solvable Lie and Leibniz Superalgebras with maximal codimension of nilradical
L. M. Camacho, R. M. Navarro, B. A. Omirov
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 L…
One-generated nilpotent Novikov algebras
Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov +1
We give a classification of 5- and 6-dimensional complex one-generated nilpotent Novikov algebras
The variety of dual mock-Lie algebras
Luisa M. Camacho, Ivan Kaygorodov, Victor Lopatkin +1
We classify all complex - and -dimensional dual mock-Lie algebras by algebraic and geometric way. Also we find all non-trivial complex -dimensional dual mock-Lie algebras.