ORE EXTENSIONS AND POISSON ALGEBRAS

DOI10.1017/S0017089513000293zbMath1372.16025arXiv1212.4063OpenAlexW2963509735MaRDI QIDQ5415957

David A. Jordan

Publication date: 19 May 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4063

zbMATH Keywords

homeomorphismderivation of commutative Noetherian \(\mathbb C\)-algebraPoisson prime spectrum of polynomial algebraprime spectrum of Ore extension

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Derivations and commutative rings (13N15) Poisson algebras (17B63)

Related Items (8)

Poisson algebras via model theory and differential-algebraic geometry ⋮ A family of foliations with one singularity ⋮ Noncommutative discriminants via Poisson primes ⋮ Cluster algebra structures on Poisson nilpotent algebras ⋮ A NEW FAMILY OF POISSON ALGEBRAS AND THEIR DEFORMATIONS ⋮ Poisson deleting derivations algorithm and Poisson spectrum ⋮ Universal enveloping algebras of generalized Poisson-Ore extensions ⋮ Simple Poisson-Farkas algebras and ternary Filippov algebras

Cites Work

• On the classification of simple quadratic derivations over the affine plane
• Differential operator rings whose prime factors have bounded Goldie dimension
• Primitivity in differential operator rings
• Prime ideals in skew polynomial rings and quantized Weyl algebras
• On the differential simplicity of polynomial rings.
• Finite-dimensional simple Poisson modules
• SIMPLE QUADRATIC DERIVATIONS IN TWO VARIABLES
• Poisson brackets and Poisson spectra in polynomial algebras
• Simple derivations of higher degree in two variables
• REVERSIBLE SKEW LAURENT POLYNOMIAL RINGS AND DEFORMATIONS OF POISSON AUTOMORPHISMS
• DIFFERENTIALLY SIMPLE RINGS WITH NO INVERTIBLE DERIVATIVES
• Noetherian Ore Extensions and Jacobson Rings
• Primitive Ore extensions
• d-Simple rings and simple -modules
• Characterizations of poisson algebras
• An example of a simple derivation in two variables
• Poisson Polynomial Rings

This page was built for publication: ORE EXTENSIONS AND POISSON ALGEBRAS