Some algorithmic problems for Poisson algebras
type: Item
instance of: scholarly article
title: Some algorithmic problems for Poisson algebras
zbMATH Open document ID: 1462.17024
author: Zerui Zhang
author: Chen Yuqun
author: Leonid A. Bokut'
published in: Journal of Algebra
publication date: 2019-03-11T00:00:00Z
Mathematics Subject Classification ID: 17B63
Mathematics Subject Classification ID: 16S15
Mathematics Subject Classification ID: 13P10
zbMATH DE Number: 7034191
zbMATH Keywords: Gröbner-Shirshov basis
zbMATH Keywords: Poisson algebra
zbMATH Keywords: word problem
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2019.02.001
OpenAlex ID: W2912289736
cites work: Q4693774
cites work: Gröbner-Shirshov bases for Lie algebras: after A. I. Shirshov
cites work: Gröbner–Shirshov bases and their calculation
cites work: Gröbner-Shirshov bases for Lie algebras over a commutative algebra
cites work: Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German
cites work: Free differential calculus. IV: The quotient groups of the lower central series
cites work: Free integro-differential algebras and Gröbner-Shirshov bases.
cites work: Differential type operators and Gröbner-Shirshov bases.
cites work: Centralizers in free Poisson algebras
cites work: The Freiheitssatz for Novikov algebras
cites work: The Freiheitssatz for Poisson algebras
cites work: Q4341774
cites work: Q3975192
cites work: Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras
cites work: Q3248045
cites work: Q3289053
cites work: Universal enveloping algebras and universal derivations of Poisson algebras
Wikidata QID: Q128491390
DOI: 10.1016/J.JALGEBRA.2019.02.001
description: scientific article; zbMATH DE number 7034191