6 papers
Derivation Algebras of Three-Dimensional Leibniz Algebras: A Complete Description
Leonid A. Kurdachenko, Oleksandr O. Pypka, Mykola M. Semko
Derivation algebras are natural structural invariants of Leibniz algebras. In a number of earlier papers, derivations were described for several classes of one-generated, nilpotent…
Automorphism Groups of Three-Dimensional Leibniz Algebras: A Complete Description
Leonid A. Kurdachenko, Oleksandr O. Pypka, Mykola M. Semko
Automorphism groups are among the most natural structural invariants of an algebra, and their explicit determination is a basic problem in the structure theory of Leibniz algebras.…
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…
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,…
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.
Automorphism groups of some 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,…