A.A. Pypka

collaborators

4 papers

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 $G / ζ (G)$ of a group $G$ 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 $G / ζ (G)$ of a group $G$ is finite, then its derived subgroup $…

math.RA2023

On the automorphism groups of some nilpotent 3-dimensional Leibniz algebras

L. A. Kurdachenko, O. O. Pypka, M. M. Semko

Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$ . Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,…

math.RA2023

Automorphism groups of some 3-dimensional Leibniz algebras

L. A. Kurdachenko, O. O. Pypka, M. M. Semko

Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$ . Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,…