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ORE EXTENSIONS AND POISSON ALGEBRAS

Published online by Cambridge University Press:  13 August 2013

DAVID A. JORDAN
DAVID A. JORDAN*
Affiliation:
School of Mathematics and Statistics, University of Sheffield, Hicks Building, Sheffield S3 7RH, United Kingdom e-mail: d.a.jordan@sheffield.ac.uk
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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 a ∈ A.

Keywords

Primary 17B63Secondary 16S3613N1516W2516S80
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 2 , May 2014 , pp. 355 - 368
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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