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Poisson catenarity in Poisson nilpotent algebras

Launois, Stephane, Goodearl, Ken (2022) Poisson catenarity in Poisson nilpotent algebras. Journal of Algebra, 611 . pp. 265-284. ISSN 0021-8693. (doi:10.1016/j.jalgebra.2022.08.010) (KAR id:98968)

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.

Item Type: Article
DOI/Identification number: 10.1016/j.jalgebra.2022.08.010
Additional information: For the purpose of open access, the author has applied a CC BY public copyright licence to any Author Accepted Manuscript version arising from this submission.
Uncontrolled keywords: Poisson algebra; Poisson polynomial ring; Poisson-Ore extension; Poisson nilpotent algebra; Poisson-CGL extension; Poisson prime ideal; Poisson prime spectrum; Catenary
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders: Engineering and Physical Sciences Research Council (https://ror.org/0439y7842)
Depositing User: Stephane Launois
Date Deposited: 07 Dec 2022 18:08 UTC
Last Modified: 27 Feb 2024 11:07 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/98968 (The current URI for this page, for reference purposes)

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