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Let A be a finitely generated Poisson algebra over a field of characteristic zero. Here we prove that every Poisson prime ideal of A is prime and give a method to find all Poisson prime ideals in an arbitrary Poisson polynomial ring A[x; α, δ].
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This work was supported by the Korea Research Foundation Grant, KRF-2005-041-C00009.
Communicated by T. H. Lenagan.
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