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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…
math.RA2011
Universal enveloping algebras and universal derivations of Poisson algebras
Ualbai Umirbaev
Let be an arbitrary field of characteristic . It is shown that for any the universal enveloping algebras of the Poisson symplectic algebra and the Weyl al…