Centralizers in free Poisson algebras

Makar-Limanov, Leonid; Umirbaev, Ualbai

doi:10.1090/S0002-9939-07-08678-9

Centralizers in free Poisson algebras
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Proc. Amer. Math. Soc. 135 (2007), 1969-1975 Request permission

Abstract:

We prove an analog of the Bergman Centralizer Theorem for free Poisson algebras over an arbitrary field of characteristic $0$. Some open problems are formulated.

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