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math.RA2024
Some three-dimensional non-nilpotent Leibniz algebras: automorphism groups
Leonid A. Kurdachenko, Oleksandr O. Pypka, Igor Ya. Subbotin
The article presents the structure of the automorphism groups of two types of non-nilpotent Leibniz algebras with a dimension of 3.
math.RA2024
On some relationships between the center and the derived subalgebra in Poisson (2-3)-algebras
P. Ye. Minaiev, O. O. Pypka, I. V. Shyshenko
One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group of a group is finite, then its derived subgroup $…
math.RA2024
On some relationships between the centers and the derived ideal in Leibniz 3-algebras
P. Ye. Minaiev, O. O. Pypka
One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group of a group is finite, then its derived subgroup $…