ORE EXTENSIONS AND POISSON ALGEBRAS

Author:

JORDAN DAVID A.

Abstract

AbstractFor a derivation δ of a commutative Noetherian ${\mathbb C}$-algebra A, a homeomorphism is established between the prime spectrum of the Ore extension A[z;δ] and the Poisson prime spectrum of the polynomial algebra A[z] endowed with the Poisson bracket such that {A,A}=0 and {z,a}=δ(a) for all aA.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Cluster algebra structures on Poisson nilpotent algebras;Memoirs of the American Mathematical Society;2023-10

2. Universal enveloping algebras of generalized Poisson–Ore extensions;Rocky Mountain Journal of Mathematics;2021-04-01

3. A Family of Foliations with One Singularity;Bulletin of the Brazilian Mathematical Society, New Series;2019-11-18

4. Noncommutative discriminants via Poisson primes;Advances in Mathematics;2017-12

5. Simple Poisson–Farkas Algebras and Ternary Filippov Algebras;Siberian Mathematical Journal;2017-11

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