Normalization of a Poisson algebra is Poisson

Article

Abstract

We prove that the normalization of a Poisson algebra is Poisson.

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References

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    N. Bourbaki, Eléments de mathématique. Algèbgre commutative. Chapitre 5: Entiers. Chapitre 6: Valuations (Hermann, Paris, 1964).Google Scholar
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    A. Beauville, “Symplectic Singularities,” Invent. Math. 139, 541–549 (2000).MATHCrossRefMathSciNetGoogle Scholar
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    A. Seidenberg, “Derivations and Integral Closure,” Pac. J. Math. 16, 167–173 (1966).MATHMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Steklov Institute of MathematicsRussian Academy of SciencesMoscowRussia

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