MEGA 2007 Effective Methods in Algebraic Geometry Strobl, Austria, June 25th - 29th http://www.ricam.oeaw.ac.at/mega2007

Abstract

Title	Characteristic Set Method for Differential-Difference Polynomial Systems
Keywords	Characteristic set, difference and differential polynomial, ascending chain, zero decomposition algorithm
Abstract	In this paper, we present a characteristic set method for mixed difference and differential polynomial systems. We introduce the concepts of coherent, regular, proper irreducible, and strong irreducible ascending chains and study their properties. We give an algorithm which can be used to decompose the zero set for a finitely generated difference and differential polynomial set into the union of the zero sets of regular ascending chains.

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