Poisson catenarity in Poisson nilpotent algebras
Commutative Algebra
2021-05-31 v1 Quantum Algebra
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2105.13737,
title = {Poisson catenarity in Poisson nilpotent algebras},
author = {K. R. Goodearl and S. Launois},
journal= {arXiv preprint arXiv:2105.13737},
year = {2021}
}
Comments
15 pages