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arXiv · 1105.2544

The Freiheitssatz for Novikov algebras

Leonid Makar-Limanov·Ualbai Umirbaev
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Abstract

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 a field $k$ with respect to the multiplication $f\circ g=\partial(f)g$. It follows that the base rank of the variety of Novikov algebras equals 1.

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Leonid Makar-Limanov, Ualbai Umirbaev. 2011-05-12. The Freiheitssatz for Novikov algebras. https://arxiv.org/abs/1105.2544

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