**Brahim Sadik**

## Computing Characteristic Sets of Ordinary Radical
Differential Ideals

**Abstract:**

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, Gröbner
bases.

**MSC 2000:** 12H05, 13B25, 13P10