Geodesic
ORE EXTENSIONS AND POISSON ALGEBRAS
Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 355-368

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DOI

For a derivation δ of a commutative Noetherian ${\mathbb C}$-algebra A, a homeomorphism is established between the prime spectrum of the Ore extension A[z;δ] and the Poisson prime spectrum of the polynomial algebra A[z] endowed with the Poisson bracket such that {A,A}=0 and {z,a}=δ(a) for all a ∈ A.
DOI : 10.1017/S0017089513000293
Mots-clés : Primary 17B63, Secondary 16S36, 13N15, 16W25, 16S80 
JORDAN, DAVID A. ORE EXTENSIONS AND POISSON ALGEBRAS. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 355-368. doi: 10.1017/S0017089513000293
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     title = {ORE {EXTENSIONS} {AND} {POISSON} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {355--368},
     year = {2014},
     volume = {56},
     number = {2},
     doi = {10.1017/S0017089513000293},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000293/}
}
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