Title of article
THE FREIHEITSSATZ FOR NOVIKOV ALGEBRAS
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
From page
228
To page
235
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.
Keywords
Novikov algebras , Freiheitssatz , identities
Journal title
TWMS Journal of Pure and Applied Mathematics
Journal title
TWMS Journal of Pure and Applied Mathematics
Record number
2527770
Link To Document