Centralizers in free Poisson algebras-Reference-Cited by-同舟云学术

Centralizers in free Poisson algebras

Published:2007-02-28 Issue:7 Volume:135 Page:1969-1975
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Makar-Limanov Leonid,Umirbaev Ualbai

Abstract

We prove an analog of the Bergman Centralizer Theorem for free Poisson algebras over an arbitrary field of characteristic 0 0 . Some open problems are formulated.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-07/S0002-9939-07-08678-9/S0002-9939-07-08678-9.pdf

Reference23 articles.

1. Centralizers in free associative algebras;Bergman, George M.;Trans. Amer. Math. Soc.,1969

2. Unsolvability of the word problem, and subalgebras of finitely presented Lie algebras;Bokut′, L. A.;Izv. Akad. Nauk SSSR Ser. Mat.,1972

3. Subalgebras of free associative algebras;Cohn, P. M.;Proc. London Math. Soc. (3),1964

4. London Mathematical Society Monographs;Cohn, P. M.,1985

5. Automorphisms of a free associative algebra of rank 2. I;Czerniakiewicz, Anastasia J.;Trans. Amer. Math. Soc.,1971

Cited by 17 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. Transposed Poisson Structures;Results in Mathematics;2024-02-10

2. Automorphisms of Veronese subalgebras of polynomial algebras and free Poisson algebras;Journal of Algebra and Its Applications;2023-11-18

3. Gröbner–Shirshov basis theory and word problems for metatrivial Poisson algebras;São Paulo Journal of Mathematical Sciences;2023-11-08

4. Poisson triple systems;Linear and Multilinear Algebra;2022-03-24

5. Ualbai Utmakhanbetovich Umirbaev;Russian Mathematical Surveys;2021-04-01