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The Freiheitssatz for Generic Poisson Algebras
Pavel S. Kolesnikova,
Leonid G. Makar-Limanovb,
Ivan P. Shestakovac a Sobolev Institute of Mathematics, 630090, Novosibirsk, Russia
b Department of Mathematics, Wayne State University, Detroit, MI 48202, USA
c Instituto de Matemática e Estatística, Universidade de São Paulo, 05508-090 São Paulo, Brasil
Abstract:
We prove the Freiheitssatz for the variety of generic Poisson algebras.
Keywords:
Freiheitssatz; Poisson algebra; generic Poisson algebra; algebraically closed algebra; polynomial identity; differential algebra.
MSC: 17A30;
17B63;
17A50 Received: July 29, 2014; in final form
December 22, 2014; Published online
December 29, 2014
Language: English
DOI:
10.3842/SIGMA.2014.115
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