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Hopf structure for Poisson enveloping algebras. (English) Zbl 1041.16029
The author shows that if $$A$$ is a Poisson algebra over a field of characteristic zero, having a Hopf structure, which is compatible with the Poisson structure, then the associative Poisson enveloping algebra $$U(A)$$ of $$A$$ is a Hopf algebra as well.

##### MSC:
 16W30 Hopf algebras (associative rings and algebras) (MSC2000) 17B63 Poisson algebras
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