The Freiheitssatz for Generic Poisson Algebras
Pavel S. Kolesnikov, Leonid G. Makar-Limanov, Ivan P. Shestakov
TL;DR
This paper proves the Freiheitssatz within the context of generic Poisson algebras, establishing a fundamental algebraic property for this class of structures.
Contribution
It introduces the first proof of the Freiheitssatz specifically for the variety of generic Poisson algebras.
Findings
Freiheitssatz holds for generic Poisson algebras
Provides foundational algebraic results for this variety
Establishes a basis for further algebraic exploration
Abstract
We prove the Freiheitssatz for the variety of generic Poisson algebras.
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