5 citations · 13 across the 32 of their papers we have counts for
41 papers
On Derived Lie Algebras
Salvatore Siciliano, David A. Towers
In this paper we investigate the problem of which Lie algebras appear as the derived algebra of a Lie algebra. We present new results that further develop this study and address tw…
Leibniz algebras in which all centralisers of nonzero elements are zero algebras
David A. Towers
This paper is concerned with generalising the results for Lie -algebras to Leibniz algebras. In some cases our results give a generalisation even for the case of a Lie algebra.…
Almost-reductive and almost-algebraic Leibniz algebras
David A. Towers
This paper examines whether the concept of an almost-algebraic Lie algebra developed by Auslander and Brezin in \cite{ab} can be introduced for Leibniz algebras. Two possible analo…
Modularity conditions in Leibniz algebras
Pilar Páez-Guillán, Salvatore Siciliano, David A. Towers
In this paper we continue the study of the subalgebra lattice of a Leibniz algebra. In particular, we find out that solvable Leibniz algebras with an upper semi-modular lattice are…
Weak c-ideals of Leibniz algebras
David A. Towers, Zekiye Ciloglu
A subalgebra of a Leibniz algebra is called a weak c-ideal of if there is a subideal of such that and where is the larg…
Zinbiel algebras are nilpotent
David A. Towers
In this paper we show that every finite-dimensional Zinbiel algebra over an arbitrary field is nilpotent, extending a previous result by other authors that they are solvable.