4 papers
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…
Enveloping algebras that are principal ideal rings
Salvatore Siciliano, Hamid Usefi
Let be a restricted Lie algebra over a field of positive characteristic. We prove that the restricted enveloping algebra of is a principal ideal ring if and only if is…
Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian
Salvatore Siciliano, Hamid Usefi
Let be a restricted Lie algebra over a field of characteristic and denote by its restricted enveloping algebra. We establish when the symmetric or skew elements of…
On filtered multiplicative bases of some associative algebras
V. Bovdi, A. Grishkov, S. Siciliano
We deal with the existing problem of filtered multiplicative bases of finite-dimensional associative algebras. For an associative algebra A over a field, we investigate when the pr…