Ualbai Umirbaev

activity

20212025

collaborators

4 papers

math.RA2025

Automorphisms and derivations of a universal left-symmetric enveloping algebra

D. Zhangazinova, A. Naurazbekova, U. Umirbaev

Let $A_{n}$ be an $n$ -dimensional algebra with zero multiplication over a field $K$ of characteristic $0$ . Then its universal (multiplicative) enveloping algebra $U_{n}$ in the variety…

math.RA2023

Automorphisms of Veronese subalgebras of polynomial algebras and free Poisson algebras

Bakhyt Aitzhanova, Leonid Makar-Limanov, Ualbai Umirbaev

The Veronese subalgebra $A_{0}$ of degree $d \geq 2$ of the polynomial algebra $A = K [x_{1}, x_{2}, \dots, x_{n}]$ over a field $K$ in the variables $x_{1}, x_{2}, \dots, x_{n}$ is the subalgebra of $A…

math.RA2023

Representations via differential algebras and equationally Noetherian algebras

Alexander A. Mikhalev, Manat Mustafa, Ualbai Umirbaev

We show that free algebras of the variety of algebras generated by the Witt algebra $W_{n}$ , the left-symmetric Witt algebra $L_{n}$ , and the symplectic Poisson algebra $P_{n}$ can be de…

math.RA2021

On the Lie-solvability of Novikov algebras

Kaisar Tulenbaev, Ualbai Umirbaev, Viktor Zhelyabin

We prove that any Novikov algebra over a field of characteristic $\neq = 2$ is Lie-solvable if and only if its commutator ideal $[N, N]$ is right nilpotent. We also construct examples…