14 citations · 44 across the 30 of their papers we have counts for
5 papers · 1 filter
On the Lie-solvability of Novikov algebras
Kaisar Tulenbaev, Ualbai Umirbaev, Viktor Zhelyabin
We prove that any Novikov algebra over a field of characteristic is Lie-solvable if and only if its commutator ideal is right nilpotent. We also construct examples…
Some examples of nonassociative coalgebras and supercoalgebras
Daniyar Kozybaev, Ualbai Umirbaev, Viktor Zhelyabin
Locally finiteness of some varieties of nonassociative coalgebras is studied and the Gelfand-Dorfman construction for Novikov coalgebras and the Kantor construction for Jordan supe…
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…