The Freiheitssatz for Novikov algebras

Details The Freiheitssatz for Novikov algebras The Freiheitssatz for Novikov algebras

2011-05-12

arxiv.org/abs/1105.2544v1

Mathematics

Rings and Algebras

9 pages

Scientific paper

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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