4 citations · 5 across the 2 of their papers we have counts for
5 papers
The algebraic and geometric classification of nilpotent right alternative algebras
Nurlan Ismailov, Ivan Kaygorodov, Manat Mustafa
We present algebraic and geometric classifications of the -dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are onl…
Unary and binary Leibniz algebras
N. A. Ismailov, A. S. Dzhumadil'daev
An algebra is said to be a unary Leibniz algebra if every one-generated subalgebra is a Leibniz algebra. An algebra is said to be a binary Leibniz algebra if every two-generated su…
On the speciality of Tortkara algebras
Askar Dzhumadil'daev, Nurlan Ismailov, Farukh Mashurov
A criterion for elements of free Zinbiel algebras to be Lie or Jordan is established. This criterion is used in studying speciality problems of Tortkara algebras. We construct a ba…
Degenerations of Leibniz and anticommutative algebras
Nurlan Ismailov, Ivan Kaygorodov, Yury Volkov
We describe all degenerations of three dimensional anticommutative algebras and of three dimensional Leibniz algebras over In…
Polynomial identities of bicommutative algebras, Lie and Jordan elements
A. S. Dzhumadil'daev, N. A. Ismailov
An algebra with identities is called bicommutative. We construct list of identities satisfied by commutator and anti-commutator products in a free bico…