12 citations · 31 across the 8 of their papers we have counts for
3 papers · 1 filter
On Lie-holomorphs of Leibniz algebras
Gianmarco La Rosa, Manuel Mancini
We study the notion of the Lie-holomorph of a Leibniz algebra, recently introduced by N. P. Souris as a generalisation of the classical holomorph construction for Lie algebras. We…
Biderivations of complete Leibniz algebras
Alfonso Di Bartolo, Francesco Paolo Di Fatta, Gianmarco La Rosa
If one wishes to define a complete Leibniz algebra in such a way as to extend the notion of a complete Lie algebra, two distinct definitions can be found in the current literature.…
A New Definition of Superbiderivations for Lie Superalgebras
Alfonso Di Bartolo, Francesco Paolo Di Fatta, Gianmarco La Rosa
In this paper, we study superbiderivations on Lie superalgebras from structural and geometric perspectives. Motivated by the classical fact that the bracket of a Lie algebra is its…