Georgian Mathematical Journal 13 (2006), No. 3, 515--527
Copyright Heldermann Verlag 2006
Computing Characteristic Sets of Ordinary Radical Differential Ideals
Brahim Sadik
Dept. of Mathematics, Faculty of Sciences Semlalia, BP 2390 Mandrakes, Morocco
sadik@ucam.ac.ma
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.
Keywords: Differential algebra, characteristic sets, differential ideals, Groebner bases.
MSC: 12H05, 13B25, 13P10
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