3 papers
math.RA2025
Leibniz rings: some basic and structural results
L. A. Kurdachenko, O. O. Pypka, M. M. Semko
In this paper, we study the fundamental properties of Leibniz rings. Special attention is given to the structure of Leibniz rings whose additive group is "small". The results obtai…
math.RA2023
On the automorphism groups of some nilpotent 3-dimensional Leibniz algebras
L. A. Kurdachenko, O. O. Pypka, M. M. Semko
Let be an algebra over a field with the binary operations and . Then is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,…
math.RA2023
On the algebra of derivations of some low-dimensional Leibniz algebras
L. A. Kurdachenko, M. M. Semko, I. Ya. Subbotin
We study the algebras of derivations of nilpotent Leibniz algebras of low dimensions.