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 Ore extensions and Poisson algebras

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For a derivation d of a commutative Noetherian complex algebra A, a homeomorphism is established between the prime spectrum of the Ore extension Az;d and the Poisson prime spectrum of the polynomial algebra Az endowed with the Poisson bracket such that {A,A}=0 and {z,a}=da for all a in A. Several illustrative examples are discussed including some where A is known to be d-simple.

Author: David A. Jordan

Source: https://archive.org/

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