Algebraic transformation of differential characteristic decompositions from one ranking to another

DOI10.1016/j.jsc.2008.07.002zbMath1174.13036arXivmath/0702130OpenAlexW2027966173MaRDI QIDQ1008569

Oleg Golubitsky, Marina Kondratieva, Alexey Ovchinnikov

Publication date: 30 March 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702130

zbMATH Keywords

differential algebraradical differential idealsbounds for orderscanonical characteristic sets

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Differential algebra (13N99)

Related Items (10)

Quantitative aspects of the generalized differential Lüroth's theorem ⋮ Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability ⋮ Computation of differential Chow forms for ordinary prime differential ideals ⋮ A criterion for testing whether a difference ideal is prime ⋮ On the generalized Ritt problem as a computational problem ⋮ An equivalence theorem for regular differential chains ⋮ Universal characteristic decomposition of radical differential ideals ⋮ Probabilistic algorithms for computing resolvent representations of regular differential ideals ⋮ Computing differential characteristic sets by change of ordering ⋮ Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form

Uses Software

• Maple
• RegularChains

Cites Work

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• Jacobi's bound for systems of algebraic differential equations
• Gröbner fan and universal characteristic sets of prime differential ideals
• A notion of Krull dimension for differential rings
• Associative differential operations
• PARDI!
• Computing canonical representatives of regular differential ideals
• Some properties of the lattice points and their application to differential algebra^*
• Differential Dimension Polynomials of Finitely Generated Extensions

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