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ORE EXTENSIONS AND POISSON ALGEBRAS

Published online by Cambridge University Press:  13 August 2013

DAVID A. JORDAN*
Affiliation:
School of Mathematics and Statistics, University of Sheffield, Hicks Building, Sheffield S3 7RH, United Kingdom e-mail: [email protected]
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Abstract

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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 aA.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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