3 papers
math.RA2022
On the inner structure of 3-dimensional Leibniz algebras
Leonid A. Kurdachenko, Oleksandr O. Pypka, Igor Ya. Subbotin
Let be an algebra over a field with the binary operations and . Then is called a left Leibniz algebra if for all .…
math.RA2021
Relationships between the generalized central series of Leibniz algebras
Aleksandr A. Pypka
The purpose of this article is to show a close relationship between the generalized central series of Leibniz algebras. Some analogues of the classical group-theoretical theorems o…
math.RA2021
On Leibniz algebras, whose subalgebras are either ideals or self-idealizing
Leonid A. Kurdachenko, Aleksandr A. Pypka, Igor Y. Subbotin
A subalgebra S of a Leibniz algebra L is called self-idealizing in L if it coincides with its idealizer IL(S). In this paper we study the structure of Leibniz algebras, whose subal…