A finite universal SAGBI basis for the kernel of a derivation
type: Item
instance of: scholarly article
title: A finite universal SAGBI basis for the kernel of a derivation
zbMATH Open document ID: 1111.13022
author: Shigeru Kuroda
published in: Osaka Journal of Mathematics
publication date: 2005-03-18T00:00:00Z
review text: This paper is devoted to the study of properties of SAGBI basis (``Sub-algebra Analogue to Gröbner bases for ideals'') for the kernel of a derivation of a polynomials ring. These bases were introduced by \textit{L. Robbiano} and \textit{M. Sweedler} [Lect. Notes Math. 1430, 61--87 (1990; Zbl 0725.13013)] and by \textit{D. Kapur} and \textit{K. Madlener} [in: Computers and mathematics, Proc. Conf., Cambridge/Mass 1--11 (1989; Zbl 0692.13001)]. The authors provide a sufficient condition on derivations for their kernels to have finite universal SAGBI bases, as well as an upper bound of distinct initial algebras of them.
Mathematics Subject Classification ID: 13P10
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 2147083
zbMATH Keywords: subalgebra basis (SAGBI)
zbMATH Keywords: Gröbner bases
reviewed by: J. Rafael Sendra
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2147083