On infinite Gröbner bases in free algebras
type: Item
instance of: scholarly article
title: On infinite Gröbner bases in free algebras
zbMATH Open document ID: 0930.16016
DOI: 10.1016/S0019-3577(98)80029-3
published in: Indagationes Mathematicae. New Series
publication date: 2000-02-07T00:00:00Z
review text: It is found a Gröbner (in other terminology Gröbner-Shirshov) basis of any associative algebra over a field with 2 generators \(x,y\) and one defining quadratic relation \(ax^2+bxy+cyx+dy^2=0\), where \(a,b,c,d\) are not zero.
Mathematics Subject Classification ID: 16S15
Mathematics Subject Classification ID: 13P10
Mathematics Subject Classification ID: 16S10
Mathematics Subject Classification ID: 16S37
zbMATH DE Number: 1251208
zbMATH Keywords: free algebras
zbMATH Keywords: Gröbner bases
zbMATH Keywords: Gröbner-Shirshov bases
zbMATH Keywords: generators
zbMATH Keywords: relations
author: Lothar Gerritzen
reviewed by: Leonid A. Bokut'
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1251208