Order and Dimension

DOI10.2307/2044338zbMath0505.12025OpenAlexW4233113391MaRDI QIDQ4740648

Richard M. Cohn

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2044338

zbMATH Keywords

orderdifferential polynomialsdimension conjectureJacobi numberdifferential dimensionRitt number

Mathematics Subject Classification ID

Differential algebra (12H05)

Related Items (10)

Jacobi's bound for a diffiety defined by a quasi-regular system ⋮ Computation of differential Chow forms for ordinary prime differential ideals ⋮ Jacobi's bound: Jacobi's results translated in Kőnig's, Egerváry's and Ritt's mathematical languages ⋮ Sparse difference resultant ⋮ Jacobi's bound for systems of algebraic differential equations ⋮ Difference Algebra ⋮ On the index and the order of quasi-regular implicit systems of differential equations ⋮ Jacobi's bound for independent systems of algebraic partial differential equations ⋮ Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form ⋮ Sparse differential resultant for Laurent differential polynomials

Cites Work

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• Jacobi's problem on the order of a system of differential equations
• The Greenspan Bound for the Order of Differential Systems
• Jacobi's Bound for the Order of Systems of First Order Differential Equations

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