18 citations · 56 across the 21 of their papers we have counts for
24 papers
On nilpotency in pre - Lie algebras
Leonid Kurdachenko, Igor Subbotin
The authors consider several variants of the notion of nilpotency in pre-Lie algebras and investigate the properties of nilpotent ideals.
On the structure of braces whose subideals are ideals
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
This article begins the study of T-braces, those skew left braces of abelian type in which the relation of being an ideal is a transitive relation.
On the structure of some one-generator nilpotent braces
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
This article provides a detailed description of some nilpotent left braces generated by one element.
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.
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.
On the Structure of Some One-generator Braces
Leonid A. Kurdachenko, Igor Ya. Subbotin
We describe the one-generator braces A satisfying the condition .