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arXiv · 2105.13737

Poisson catenarity in Poisson nilpotent algebras

K. R. Goodearl·S. Launois
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Abstract

We prove that for the iterated Poisson polynomial rings known as Poisson nilpotent algebras (or Poisson-CGL extensions), the Poisson prime spectrum is catenary, i.e., all saturated chains of inclusions of Poisson prime ideals between any two given Poisson prime ideals have the same length.

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K. R. Goodearl, S. Launois. 2021-05-28. Poisson catenarity in Poisson nilpotent algebras. https://arxiv.org/abs/2105.13737

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