A basis of a free metabelian associative algebra
type: Item
instance of: scholarly article
title: A basis of a free metabelian associative algebra
zbMATH Open document ID: 0774.16009
DOI: 10.1007/BF00971193
published in: Siberian Mathematical Journal
publication date: 1992-09-26T00:00:00Z
review text: The authors give an explicit basis of the free metabelian (associative) algebra \(A_ n\) in \(n\) generators over a field \(k\) of characteristic zero. Recall that \(A_ n=k\langle X\rangle/T\) where \(k\langle X\rangle\) stands for the free associative algebra in \(n\) generators and \(T\) for the \(T\)-ideal generated by the commutators \([x,y,z]\).
Mathematics Subject Classification ID: 16R10
Mathematics Subject Classification ID: 16S10
Mathematics Subject Classification ID: 17B01
zbMATH DE Number: 56014
zbMATH Keywords: \(T\)-ideals
zbMATH Keywords: basis
zbMATH Keywords: generators
zbMATH Keywords: free associative algebras
zbMATH Keywords: commutators
author: Leonid A. Bokut'
author: Leonid Makar-Limanov
reviewed by: Plamen Koshlukov
MaRDI profile type: Publication
cites work: Q3289053
cites work: Q5596920
full work available at URL: https://doi.org/10.1007/bf00971193
OpenAlex ID: W2043924564
description: scientific article; zbMATH DE number 56014