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 in a single variable over a field with respect to the multiplication . It follows that the base rank of the variety of Novikov algebras equals 1.
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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