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Browsing by Author "Ualbai Umirbaev"

Browsing by Author "Ualbai Umirbaev"

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  • Alexander A. Mikhalev; Ualbai Umirbaev; Jie-Tai Yu (2013-06-24)
    We consider finitely generated free non-associative algebras, free commutative non-associative algebras, and free anti-commutative non-associative algebras. We study orbits of elements of these algebras under the action ...
  • Leonid Makar-Limanov; Umut Turusbekova; Ualbai Umirbaev (2013-06-25)
    Let P be a free Poisson algebra in two variables over a field of characteristic zero. We prove that the automorphisms of P are tame and that the locally nilpotent derivations of P are triangulable.
  • Турусбекова У; Ualbai Umirbaev (2012-06-30)
    Let P be a free Poisson algebra in two variables over a field of characteristic zero. We prove that the automorphisms of P are tame and that the locally nilpotent derivations of P are triangulable.
  • Leonid Makar-Limanov; Ualbai Umirbaev (2013-06-24)
    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 Cremona group Cr2(k). We also prove that the ...
  • Leonid Makar-Limanov; Ualbai Umirbaev (2012-12-26)
    We prove the Freiheitssatz for Poisson algebras in characteristic zero. We also give a proof of the tameness of automorphisms for two generated free Poisson algebras [14] and prove that an analogue of the commutator test ...
  • Leonid Makar-Limanov; Ualbai Umirbaev (2013-06-24)
    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 polynomials k[x] in a single variable x over ...
  • Leonid Makar-Limanov; Ualbai Umirbaev (2013-06-24)
    We prove the Freiheitssatz for Poisson algebras in characteristic zero. We also give a proof of the tameness of automorphisms for two generated free Poisson algebras [14] and prove that an analogue of the commutator test ...

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