Canonical Characteristic Sets of Characterizable Differential Ideals

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dc.creatorGolubitsky, Oleg
dc.creatorKondratieva, Marina
dc.creatorOvchinnikov, Alexey
dc.date2007-02-06
dc.date.accessioned2026-07-07T12:45:57Z
dc.date.available2026-07-07T12:45:57Z
dc.descriptionWe study the concept of canonical characteristic set of a characterizable differential ideal. We propose an efficient algorithm that transforms any characteristic set into the canonical one. We prove the basic properties of canonical characteristic sets. In particular, we show that in the ordinary case for any ranking the order of each element of the canonical characteristic set of a characterizable differential ideal is bounded by the order of the ideal. Finally, we propose a factorization-free algorithm for computing the canonical characteristic set of a characterizable differential ideal represented as a radical ideal by a set of generators. The algorithm is not restricted to the ordinary case and is applicable for an arbitrary ranking.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0702130
dc.identifierhttp://arxiv.org/abs/math/0702130
dc.identifierJournal of Symbolic Computation 44 (4) (2009) 333-357
dc.identifierdoi:10.1016/j.jsc.2008.07.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221221
dc.subjectCommutative Algebra
dc.subject12H05; 13N10; 13P10
dc.titleCanonical Characteristic Sets of Characterizable Differential Ideals
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