Brahim Sadik

Computing Characteristic Sets of Ordinary Radical Differential Ideals

We give upper bounds for the order of the elements in a characteristic set of a regular differential ideal or a radical of a finitely generated differential ideal with respect to some specific orderings. We then show how to compute characteristic sets of these ideals using algebraic methods.

Differential algebra, characteristic sets, differential ideals, Grbner bases.

MSC 2000: 12H05, 13B25, 13P10