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math.AC2022
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 …
math.RA2022★ 13 cited
Polynomial identities in Novikov algebras
Vladimir Dotsenko, Nurlan Ismailov, Ualbai Umirbaev
In this paper, we study Novikov algebras satisfying nontrivial identities. We show that a Novikov algebra over a field of zero characteristic that satisfies a nontrivial identity s…
math.RA2022★ 11 cited
An effective criterion for Nielsen-Schreier varieties
Vladimir Dotsenko, Ualbai Umirbaev
All algebras of a certain type are said to form a Nielsen-Schreier variety if every subalgebra of a free algebra is free. This property has been perceived as extremely rare; in par…