Sections of a differential spectrum and factorization-free computations |
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Authors: | A I Ovchinnikov |
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Institution: | (1) Department of Mechanics and Mathematics, Moscow State University, Russia |
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Abstract: | We construct sections of a differential spectrum using only localization and projective limits. For this purpose we introduce
a special form of multiplicative systems 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
without computation of diffspec
. We compare our construction with Kovacic’s structure sheaf and with the results obtained by Keigher J. Pure Appl. Algebra,
27, 163–172 (1983)]. 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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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 3, pp. 133–144, 2003. |
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Keywords: | |
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