Intersections of sequences of ideals generated by polynomials

DOI10.1016/S0022-4049(98)00025-5zbMath0942.13024OpenAlexW2065590164MaRDI QIDQ1295587

T. Winiarski, Joachim Apel, Piotr Tworzewski, Jürgen Stückrad

Publication date: 19 August 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(98)00025-5

zbMATH Keywords

reduced Gröbner basisadmissible term order of order type \(\omega\)affine Hilbert functionsideal of an algebraic setLagrange interpolation on algebraic sets

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Relevant commutative algebra (14A05)

Cites Work

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• Gröbner bases and primary decomposition of polynomial ideals
• Reduction of everywhere convergent power series with respect to Gröbner bases
• On the solutions of analytic equations

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