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11 papers
Automorphisms of affine Veronese surfaces
Bakhyt Aitzhanova, Ualbai Umirbaev
We prove that every derivation and every locally nilpotent derivation of the subalgebra , where , of the polynomial algebra …
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…
On the solvability of graded Novikov algebras
Ualbai Umirbaev, Viktor Zhelyabin
We show that the right ideal of a Novikov algebra generated by the square of a right nilpotent subalgebra is nilpotent. We also prove that a -graded Novikov algebra over a f…
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…
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…