Author/Authors :
MAKAR-LIMANOV, LEONID University of Michigan, USA , MAKAR-LIMANOV, LEONID Wayne State University, USA , UMIRBAEV, UALBAI Eurasian National University, Kazakhstan , UMIRBAEV, UALBAI Wayne State University, USA
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.
