A bound for the order of characteristic set elements of an ordinary prime differential ideal and some applications
type: Item
instance of: scholarly article
title: A bound for the order of characteristic set elements of an ordinary prime differential ideal and some applications
zbMATH Open document ID: 1011.12005
author: Brahim Sadik
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 2001-10-23T00:00:00Z
review text: The author recalls some notations, definitions and results on the subject from a differential algebra in the paper. Then he gives an upper bound for the order of characteristic set elements of an ordinary prime differential ideal with respect to an elimination ordering. He also shows that computing characteristic sets of ordinary prime differential ideals, by change of ordering, is single exponential time. The results obtained in the paper are used for the study of the solvability of systems of algebraic differential equations. For an introduction to the subject and references, see \textit{W. Y. Sit} [The Ritt-Kolchin theory for differential polynomials, In: Guo, Li (ed) et al., Proceedings of the international workshop on differential algebra and related topics, New Brunswick, 2000, World Scientific, 1-70 (2002; Zbl 1011.12007)].
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 13N05
zbMATH DE Number: 1441264
zbMATH Keywords: differential algebra
zbMATH Keywords: upper bound
zbMATH Keywords: order of characteristic set elements
zbMATH Keywords: prime differential ideal
reviewed by: Mykola Grygorenko
MaRDI profile type: Publication
full work available at URL: s002000050128
OpenAlex ID: W1973945019
DOI: 10.1007/S002000050128
description: scientific article; zbMATH DE number 1441264