FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 3, PAGES 133-144

**Sections of a differential spectrum and factorization-free
computations**

A. I. Ovchinnikov

Abstract

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We construct sections of a differential spectrum using only
localization and projective limits.
For this purpose we introduce a special form of
a multiplicative system generated by one differential polynomial
and call it *$D$-localization*.
Owing to this technique one can construct sections of
a differential spectrum of a differential
ring $R$
without computation of $diffspec\; R$.
We compare our construction with Kovacic's structure sheaf and with
the results obtained by Keigher.
We show how to compute sections of factor-rings of rings of
differential polynomials.
All computations in this paper are factorization-free.

Location: http://mech.math.msu.su/~fpm/eng/k03/k033/k03310h.htm.

Last modified: January 24, 2005.