The Description of Characterizable Radical Differential Ideals and Construction of Characteristic Sets
by
Alexey Ovchinnikov
The Moscow State University

In this paper we consider the property of radical differential ideal to be characterizable and give the criterion to it to be characterizable. This criterion is based on the known algorithm of decomposition of radical differential ideals to characterizable components. The Ritt's problem and its restriction to our particular task are discussed. By the way, we discuss some approaches of obtaining a characteristic set of differential ideals. We also introduce and investigate a new class of definable radical differential ideals.

General approach and basic definitions are presented in [2],[3] and you can find a decomposition algorithm in [1].

[1] Hubert E., Factorization-free Decomposition Algorithms in Differential Algebra, Journal of Symbolic Computations, 2000, 29, 641-662.

[2] Kolchin E.R., Differential Algebra and Algebraic Groups, Academic Press, 1973.

[3] Ritt J.F., Differential Algebra, volume 33, New York, AMS Colloquim, 1950.

Date received: November 18, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cake-02.