Differential Dimension Polynomials of Finitely Generated Extensions

DOI10.2307/2043100zbMath0391.12012OpenAlexW4252705281MaRDI QIDQ4172144

William Y. Sit

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2043100

zbMATH Keywords

Differential PolynomialsDifferential DimensionDifferential Dimension PolynomialDifferential Field

Mathematics Subject Classification ID

Differential algebra (12H05)

Related Items (11)

Bertini theorems for differential algebraic geometry ⋮ Arbitrariness of the general solution of the partial differential equations and its applications ⋮ On the partial differential Lüroth's theorem ⋮ Generalized differential Galois theory ⋮ Gröbner bases with respect to several orderings and multivariable dimension polynomials ⋮ Computation of Hilbert polynomials in two variables ⋮ Differential-algebraic decision methods and some applications to system theory ⋮ Indecomposability for differential algebraic groups ⋮ Algebraic transformation of differential characteristic decompositions from one ranking to another ⋮ A minimal dimension polynomial of a field extension given by a system of linear differential equations ⋮ Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials

Cites Work

• Unnamed Item
• Typical differential dimension of the intersection of linear differential algebraic groups
• Well-Ordering of Certain Numerical Polynomials
• Differential Dimension Polynomials and a Fundamental Theorem on Differential Modules
• Jacobi's Bound for the Order of Systems of First Order Differential Equations

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