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Normalization of a Poisson algebra is Poisson

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Abstract

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

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References

  1. N. Bourbaki, Eléments de mathématique. Algèbgre commutative. Chapitre 5: Entiers. Chapitre 6: Valuations (Hermann, Paris, 1964).

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Authors and Affiliations

  1. Steklov Institute of Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    D. B. Kaledin

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  1. D. B. Kaledin
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Correspondence to D. B. Kaledin.

Additional information

Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Vol. 264, pp. 77–80.

To the memory of Vasily Alekseevich Iskovskikh

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Kaledin, D.B. Normalization of a Poisson algebra is Poisson. Proc. Steklov Inst. Math. 264, 70–73 (2009). https://doi.org/10.1134/S008154380901009X

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  • DOI: https://doi.org/10.1134/S008154380901009X

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