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)
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| Official URL: https://doi.org/10.1016/j.jalgebra.2022.08.010 |
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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.
| Item Type: | Article |
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| 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 |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| 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: | 22 Jul 2025 09:13 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/98968 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Launois, Stephane.
| Creator's ORCID: |
 https://orcid.org/0000-0001-7252-8515
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