Geodesic
Sections of a~differential spectrum and factorization-free computations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 133-144.

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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 $\mathcal R$ without computation of $\operatorname{diffspec}\mathcal R$. 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. 
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A. I. Ovchinnikov. Sections of a~differential spectrum and factorization-free computations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 133-144. http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a9/

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