The Freiheitssatz for Novikov algebras

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.

arXiv comment9 pages

References in corpus (2)

• Identities of dual Leibniz algebras
• Codimension growth of a variety of Novikov algebras