Article ID Journal Published Year Pages File Type
4586507 Journal of Algebra 2011 9 Pages PDF
Abstract

We prove the Freiheitssatz for Poisson algebras in characteristic zero. We also give a new proof of the tameness of automorphisms for two generated free Poisson algebras and show that an analogue of the commutator test theorem is equivalent to the two-dimensional classical Jacobian conjecture.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory