English

The Freiheitssatz for Novikov algebras

Rings and Algebras 2020-01-03 v1

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]k[x] in a single variable xx over a field kk with respect to the multiplication fg=(f)gf\circ g=\partial(f)g. It follows that the base rank of the variety of Novikov algebras equals 1.

Keywords

Cite

@article{arxiv.1105.2544,
  title  = {The Freiheitssatz for Novikov algebras},
  author = {Leonid Makar-Limanov and Ualbai Umirbaev},
  journal= {arXiv preprint arXiv:1105.2544},
  year   = {2020}
}

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9 pages