Astana Medical University

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20112026

most citedPolynomial identities in Novikov algebras

13 citations

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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.RA2021★ 4 cited

The algebraic and geometric classification of nilpotent right alternative algebras

Nurlan Ismailov, Ivan Kaygorodov, Manat Mustafa

We present algebraic and geometric classifications of the $4$ -dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are onl…

math.RA2012★ 1 cited

Free Poisson fields and their automorphisms

Leonid Makar-Limanov, Ualbai Umirbaev

Let $k$ be an arbitrary field of characteristic 0. We prove that the group of automorphisms of a free Poisson field $P (x, y)$ in two variables $x, y$ over $k$ is isomorphic to the Cr…

math.RA2011

The Freiheitssatz for Novikov algebras

Leonid Makar-Limanov, Ualbai Umirbaev

We prove the Freiheitssatz for Novikov algebras in characteristic zero. It is also proved that the variety of Novikov algebras is generated by a Novikov algebra on the space of pol…