FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 1, PAGES 215-227

**The ideal of separants in the ring of differential polynomials**

D. V. Trushin

Abstract

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We obtained the criterion of existence of a quasi-liner
polynomial in a differential ideal in the ordinary ring of
differential polynomials over a field of characteristic zero.
We generalized the "going up" and "going down" theorems onto the case
of Ritt algebras.
In particular, new finiteness criteria for differential standard bases
and estimates that characterize calculation complexity were obtained.

Location: http://mech.math.msu.su/~fpm/eng/k07/k071/k07113h.htm

Last modified: December 21, 2006