Poisson catenarity in Poisson nilpotent algebras

DOI10.1016/j.jalgebra.2022.08.010OpenAlexW3169655177MaRDI QIDQ2079233

Kenneth R. Goodearl, Stephane Launois

Publication date: 29 September 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13737

zbMATH Keywords

catenaryPoisson algebraPoisson prime idealPoisson nilpotent algebraPoisson polynomial ringPoisson prime spectrumPoisson-CGL extensionPoisson-ore extension

Mathematics Subject Classification ID

Poisson algebras (17B63) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

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• The Dixmier-Moeglin equivalence and a Gel’fand-Kirillov problem for Poisson polynomial algebras
• Bott–Samelson Varieties and Poisson Ore Extensions
• Symplectic algebras and poisson algebras
• Poisson Polynomial Rings
• Catenarity in quantum nilpotent algebras

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