activity
20102025
most citedIdentities of dual Leibniz algebras

14 citations · 15 across the 4 of their papers we have counts for

collaborators

5 papers

math.RA2025

Automorphisms and derivations of a universal left-symmetric enveloping algebra

D. Zhangazinova, A. Naurazbekova, U. Umirbaev

Let be an -dimensional algebra with zero multiplication over a field of characteristic . Then its universal (multiplicative) enveloping algebra in the variety…

math.RA2021

Automorphisms of simple quotients of the Poisson and universal enveloping algebras of

Altyngul Naurazbekova, Ualbai Umirbaev

Let be the Poisson enveloping algebra of the Lie algebra over an algebraically closed field of characteristic zero. The quotient algebr…

math.RA2021

Automorphisms of free braided associative algebras in two variables

Riza Mutalip, Altyngul Naurazbekova, Ualbai Umirbaev

We describe the groups of automorphisms of two generated free braided associative algebras with involutive diagonal braidings over a field of characteristic . Depending on…

math.RA2020★ 1 cited

Tame and wild automorphisms of differential polynomial algebras of rank 2

Bibinur Duisengalieva, Altyngul Naurazbekova, Ualbai Umirbaev

It is proved that the tame automorphism group of a differential polynomial algebra over a field of characteristic in two variables with commuting deriv…

math.RA2010★ 14 cited

Identities of dual Leibniz algebras

Altyngul Naurazbekova, Ualbai Umirbaev

We prove that in characteristic 0 any proper subvariety of the variety of dual Leibniz algebras is nilpotent. Consequently, the variety of dual Leibniz algebras is Shpekhtian and h…