14 citations · 44 across the 30 of their papers we have counts for
7 papers · 1 filter
A Dixmier theorem for Poisson enveloping algebras
Ualbai Umirbaev, Viktor Zhelyabin
We consider a skew-symmetric -ary bracket on the polynomial algebra () over a field of characteristic zero defined by $\{a_1,\ldots,a_n\…
Differential algebraic dependence and Novikov dependence
Bibinur Duisengalieva, Ualbai Umirbaev
We define an analogue of the Fox derivatives for differential polynomial algebras and give a criterion for differential algebraic dependence of a finite system of elements. In part…
On the automorphisms of a free Lie algebra of rank 3 over an integral domain
Alibek Alimbaev, Ruslan Nauryzbaev, Ualbai Umirbaev
We prove that the group of tame automorphisms of a free Lie algebra (as well as of a free anticommutative algebra) rank 3 over an arbitrary integral domain has the structure of an…
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…
A wild automorphism of a free Novikov algebra
Bibinur Duisengalieva, Ualbai Umirbaev
An example of a non-triangulable locally nilpotent derivation and an example of a wild exponential automorphism of the free Novikov algebra in th…
The Nagata automorphism of free nonassociative algebras of rank two over Eucledean domains
Alibek Alimbaev, Ualbai Umirbaev
We construct an analogue of the Nagata automorphism of free nonassociative algebras and free commutative algebras of rank two over a Euclidean domain and prove that it is wild.
Free braided nonassociative Hopf algebras and Sabinin -algebras
Ualbai Umirbaev, Vladislav Kharchenko
Let be a linear space over a field with a braiding We prove that the braiding has a unique extension on the free nonassocia…