9 citations · 12 across the 16 of their papers we have counts for
20 papers
Lie algebras whose derivation algebras are simple
Jörg Feldvoss, Salvatore Siciliano
It is well known that a finite-dimensional Lie algebra over a field of characteristic zero is simple exactly when its derivation algebra is simple. In this paper we characterize th…
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…
Identities and derived lengths of finitary incidence algebras and their group of units
Mykola Khrypchenko, Salvatore Siciliano
Let be the finitary incidence algebra of a poset over a field . In this short note we establish when satisfies a polynomial identity and when its group o…
On the subalgebra lattice of a restricted Lie algebra]{On the subalgebra lattice of a restricted Lie algebra
Pilar Paez-Guillan, Salvatore Siciliano, David A. Towers
In this paper we study the lattice of restricted subalgebras of a restricted Lie algebra. In particular, we consider those algebras in which this lattice is dually atomistic, lower…
On the subalgebra lattice of a Leibniz algebra
Salvatore Siciliano, David A. Towers
In this paper we begin to study the subalgebra lattice of a Leibniz algebra. In particular, we deal with Leibniz algebras whose subalgebra lattice is modular, upper semi-modular, l…
Solvability of Poisson algebras
Salvatore Siciliano, Hamid Usefi
Let be a Poisson algebra with a Lie bracket over a field $\F$ of characteristic . In this paper, the Lie structure of is investigated. In particular, if $…